Questions
Crescent Oil has developed three new blends of gasoline – Blend X, Blend Y and Blend...

Crescent Oil has developed three new blends of gasoline – Blend X, Blend Y and Blend Z, and must decide which blend or blends to produce and distribute. A study of the miles per gallon ratings of the three blends is being conducted to determine if the mean ratings are the same for the three blends.

Five automobiles- 1, 2 3, 4 and 5, have been tested using each of the three gasoline blends and the miles per gallon ratings are shown on the accompanying Excel spreadsheet.

Based on the sample data we would like to determine whether the different blends of gasoline, produce significant differences in the average mpg. We would like to use the methods we have learnt so far in 361A to see if our result is statically significant. (Statistical significance refers to a result that is not likely to occur randomly but rather is likely to be attributable to a specific cause – in this case the different gasoline blends and different cars.)

Carry out the following tests and make preliminary findings:

  1. For the sample data, calculate the means and standard deviations for the mpg for each of the three blends of gasoline – Blend X, Blend Y and Blend Z.
  2. Draw three boxplots using Excel for mpg, one for each blend of gasoline.
  3. Run three two sample t-tests between the different blends of gasoline i.e. compare the means of Blend X and Blend Y, then Blend X and Blend Z and finally Blend Y and Blend Z. Are they the same or are they different?
  4. Armed with this information above determine whether or not your results show that the three different gasoline blends produce the same average mpg or not. Your answers should specifically site the information you re using to make your determination.
  5. Re-run parts 1 - 4 above but this time your focus is on the mpg of each car for the 5 cars (car 1 through car 5) not for the three gasoline blends.

Your report should have the following sections, arranged sequentially:

1. Introduction and problem background

2. Data description and the business questions to be answered

3. Initial data exploration – descriptive statistics/graphs

4. Analyses

5. Interpretation of results, deficiencies in methods, final conclusions and recommendations for decision-making

Automobile

Blend X

Blend Y

Blend Z

1

31

30

30

2

30

29

29

3

29

29

28

4

33

31

29

5

26

25

26

In: Statistics and Probability

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services,...

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services, the company has always charged a flat fee per hundred square feet of carpet cleaned. The current fee is $23.15 per hundred square feet. However, there is some question about whether the company is actually making any money on jobs for some customers—particularly those located on remote ranches that require considerable travel time. The owner’s daughter, home for the summer from college, has suggested investigating this question using activity-based costing. After some discussion, she designed a simple system consisting of four activity cost pools. The activity cost pools and their activity measures appear below:

Activity Cost Pool Activity Measure Activity for the Year
Cleaning carpets Square feet cleaned (00s) 10,000 hundred square feet
Travel to jobs Miles driven 228,000 miles
Job support Number of jobs 1,700 jobs
Other (organization-sustaining costs and idle capacity costs) None Not applicable

The total cost of operating the company for the year is $355,000 which includes the following costs:

Wages $ 138,000
Cleaning supplies 27,000
Cleaning equipment depreciation 12,000
Vehicle expenses 36,000
Office expenses 64,000
President’s compensation 78,000
Total cost $ 355,000

Resource consumption is distributed across the activities as follows:

Distribution of Resource Consumption Across Activities
Cleaning Carpets Travel to Jobs Job Support Other Total
Wages 74 % 15 % 0 % 11 % 100 %
Cleaning supplies 100 % 0 % 0 % 0 % 100 %
Cleaning equipment depreciation 67 % 0 % 0 % 33 % 100 %
Vehicle expenses 0 % 75 % 0 % 25 % 100 %
Office expenses 0 % 0 % 56 % 44 % 100 %
President’s compensation 0 % 0 % 32 % 68 % 100 %

Job support consists of receiving calls from potential customers at the home office, scheduling jobs, billing, resolving issues, and so on.

Required:

1. Prepare the first-stage allocation of costs to the activity cost pools.

2. Compute the activity rates for the activity cost pools.

3. The company recently completed a 600 square foot carpet-cleaning job at the Flying N Ranch—a 52-mile round-trip journey from the company’s offices in Bozeman. Compute the cost of this job using the activity-based costing system.

4. The revenue from the Flying N Ranch was $138.90 (600 square feet @ $23.15 per hundred square feet). Calculate the customer margin earned on this job.

In: Accounting

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services,...

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services, the company has always charged a flat fee per hundred square feet of carpet cleaned. The current fee is $23.60 per hundred square feet. However, there is some question about whether the company is actually making any money on jobs for some customers—particularly those located on remote ranches that require considerable travel time. The owner’s daughter, home for the summer from college, has suggested investigating this question using activity-based costing. After some discussion, she designed a simple system consisting of four activity cost pools. The activity cost pools and their activity measures appear below: Activity Cost Pool Activity Measure Activity for the Year Cleaning carpets Square feet cleaned (00s) 14,000 hundred square feet Travel to jobs Miles driven 405,000 miles Job support Number of jobs 1,800 jobs Other (organization-sustaining costs and idle capacity costs) None Not applicable The total cost of operating the company for the year is $351,000 which includes the following costs: Wages $ 135,000 Cleaning supplies 33,000 Cleaning equipment depreciation 19,000 Vehicle expenses 36,000 Office expenses 57,000 President’s compensation 71,000 Total cost $ 351,000 Resource consumption is distributed across the activities as follows: Distribution of Resource Consumption Across Activities Cleaning Carpets Travel to Jobs Job Support Other Total Wages 75 % 15 % 0 % 10 % 100 % Cleaning supplies 100 % 0 % 0 % 0 % 100 % Cleaning equipment depreciation 75 % 0 % 0 % 25 % 100 % Vehicle expenses 0 % 76 % 0 % 24 % 100 % Office expenses 0 % 0 % 60 % 40 % 100 % President’s compensation 0 % 0 % 31 % 69 % 100 % Job support consists of receiving calls from potential customers at the home office, scheduling jobs, billing, resolving issues, and so on. Required: 1. Prepare the first-stage allocation of costs to the activity cost pools. 2. Compute the activity rates for the activity cost pools. 3. The company recently completed a 600 square foot carpet-cleaning job at the Flying N Ranch—a 52-mile round-trip journey from the company’s offices in Bozeman. Compute the cost of this job using the activity-based costing system. 4. The revenue from the Flying N Ranch was $141.60 (600 square feet @ $23.60 per hundred square feet). Calculate the customer margin earned on this job.

In: Accounting

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services,...

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services, the company has always charged a flat fee per hundred square feet of carpet cleaned. The current fee is $23.20 per hundred square feet. However, there is some question about whether the company is actually making any money on jobs for some customers—particularly those located on remote ranches that require considerable travel time. The owner’s daughter, home for the summer from college, has suggested investigating this question using activity-based costing. After some discussion, she designed a simple system consisting of four activity cost pools. The activity cost pools and their activity measures appear below: Activity Cost Pool Activity Measure Activity for the Year Cleaning carpets Square feet cleaned (00s) 10,500 hundred square feet Travel to jobs Miles driven 119,000 miles Job support Number of jobs 1,900 jobs Other (organization-sustaining costs and idle capacity costs) None Not applicable The total cost of operating the company for the year is $359,000 which includes the following costs: Wages $ 143,000 Cleaning supplies 25,000 Cleaning equipment depreciation 11,000 Vehicle expenses 33,000 Office expenses 69,000 President’s compensation 78,000 Total cost $ 359,000 Resource consumption is distributed across the activities as follows: Distribution of Resource Consumption Across Activities Cleaning Carpets Travel to Jobs Job Support Other Total Wages 70 % 15 % 0 % 15 % 100 % Cleaning supplies 100 % 0 % 0 % 0 % 100 % Cleaning equipment depreciation 68 % 0 % 0 % 32 % 100 % Vehicle expenses 0 % 79 % 0 % 21 % 100 % Office expenses 0 % 0 % 57 % 43 % 100 % President’s compensation 0 % 0 % 32 % 68 % 100 % Job support consists of receiving calls from potential customers at the home office, scheduling jobs, billing, resolving issues, and so on.

Required: 1. Prepare the first-stage allocation of costs to the activity cost pools. 2. Compute the activity rates for the activity cost pools. 3. The company recently completed a 400 square foot carpet-cleaning job at the Flying N Ranch—a 58-mile round-trip journey from the company’s offices in Bozeman. Compute the cost of this job using the activity-based costing system. 4. The revenue from the Flying N Ranch was $92.80 (400 square feet @ $23.20 per hundred square feet). Calculate the customer margin earned on this job.

In: Accounting

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services,...

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services, the company has always charged a flat fee per hundred square feet of carpet cleaned. The current fee is $22.60 per hundred square feet. However, there is some question about whether the company is actually making any money on jobs for some customers—particularly those located on remote ranches that require considerable travel time. The owner’s daughter, home for the summer from college, has suggested investigating this question using activity-based costing. After some discussion, she designed a simple system consisting of four activity cost pools. The activity cost pools and their activity measures appear below:

Activity Cost Pool Activity Measure Activity for the Year
Cleaning carpets Square feet cleaned (00s) 9,500 hundred square feet
Travel to jobs Miles driven 439,000 miles
Job support Number of jobs 1,700 jobs
Other (organization-sustaining costs and idle capacity costs) None Not applicable

The total cost of operating the company for the year is $332,000 which includes the following costs:

Wages $ 137,000
Cleaning supplies 21,000
Cleaning equipment depreciation 11,000
Vehicle expenses 31,000
Office expenses 56,000
President’s compensation 76,000
Total cost $ 332,000

Resource consumption is distributed across the activities as follows:

Distribution of Resource Consumption Across Activities
Cleaning Carpets Travel to Jobs Job Support Other Total
Wages 73 % 10 % 0 % 17 % 100 %
Cleaning supplies 100 % 0 % 0 % 0 % 100 %
Cleaning equipment depreciation 71 % 0 % 0 % 29 % 100 %
Vehicle expenses 0 % 84 % 0 % 16 % 100 %
Office expenses 0 % 0 % 58 % 42 % 100 %
President’s compensation 0 % 0 % 29 % 71 % 100 %

Job support consists of receiving calls from potential customers at the home office, scheduling jobs, billing, resolving issues, and so on.

Required:

1. Prepare the first-stage allocation of costs to the activity cost pools.

2. Compute the activity rates for the activity cost pools.

3. The company recently completed a 400 square foot carpet-cleaning job at the Flying N ranch—a 56-mile round-trip journey from the company’s offices in Bozeman. Compute the cost of this job using the activity-based costing system.

4. The revenue from the Flying N ranch was $90.40 (400 square feet @ $22.60 per hundred square feet). Calculate the customer margin earned on this job.

In: Accounting

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services,...

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services, the company has always charged a flat fee per hundred square feet of carpet cleaned. The current fee is $22.90 per hundred square feet. However, there is some question about whether the company is actually making any money on jobs for some customers—particularly those located on remote ranches that require considerable travel time. The owner’s daughter, home for the summer from college, has suggested investigating this question using activity-based costing. After some discussion, she designed a simple system consisting of four activity cost pools. The activity cost pools and their activity measures appear below:

Activity Cost Pool Activity Measure Activity for the Year
Cleaning carpets Square feet cleaned (00s) 10,000 hundred square feet
Travel to jobs Miles driven 144,500 miles
Job support Number of jobs 1,700 jobs
Other (organization-sustaining costs and idle capacity costs) None Not applicable

The total cost of operating the company for the year is $372,000 which includes the following costs:

Wages $ 139,000
Cleaning supplies 34,000
Cleaning equipment depreciation 14,000
Vehicle expenses 32,000
Office expenses 68,000
President’s compensation 85,000
Total cost $ 372,000

Resource consumption is distributed across the activities as follows:

Distribution of Resource Consumption Across Activities
Cleaning Carpets Travel to Jobs Job Support Other Total
Wages 77 % 14 % 0 % 9 % 100 %
Cleaning supplies 100 % 0 % 0 % 0 % 100 %
Cleaning equipment depreciation 69 % 0 % 0 % 31 % 100 %
Vehicle expenses 0 % 75 % 0 % 25 % 100 %
Office expenses 0 % 0 % 62 % 38 % 100 %
President’s compensation 0 % 0 % 33 % 67 % 100 %

Job support consists of receiving calls from potential customers at the home office, scheduling jobs, billing, resolving issues, and so on.

Required:

1. Prepare the first-stage allocation of costs to the activity cost pools.

2. Compute the activity rates for the activity cost pools.

3. The company recently completed a 600 square foot carpet-cleaning job at the Flying N Ranch—a 57-mile round-trip journey from the company’s offices in Bozeman. Compute the cost of this job using the activity-based costing system.

4. The revenue from the Flying N Ranch was $137.40 (600 square feet @ $22.90 per hundred square feet). Calculate the customer margin earned on this job.

In: Accounting

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services,...

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services, the company has always charged a flat fee per hundred square feet of carpet cleaned. The current fee is $22.80 per hundred square feet. However, there is some question about whether the company is actually making any money on jobs for some customers—particularly those located on remote ranches that require considerable travel time. The owner’s daughter, home for the summer from college, has suggested investigating this question using activity-based costing. After some discussion, she designed a simple system consisting of four activity cost pools. The activity cost pools and their activity measures appear below:

Activity Cost Pool Activity Measure Activity for the Year
Cleaning carpets Square feet cleaned (00s) 10,000 hundred square feet
Travel to jobs Miles driven 227,500 miles
Job support Number of jobs 2,100 jobs
Other (organization-sustaining costs and idle capacity costs) None Not applicable

The total cost of operating the company for the year is $345,000 which includes the following costs:

Wages $ 141,000
Cleaning supplies 22,000
Cleaning equipment depreciation 7,000
Vehicle expenses 29,000
Office expenses 61,000
President’s compensation 85,000
Total cost $ 345,000

Resource consumption is distributed across the activities as follows:

Distribution of Resource Consumption Across Activities
Cleaning Carpets Travel to Jobs Job Support Other Total
Wages 74 % 13 % 0 % 13 % 100 %
Cleaning supplies 100 % 0 % 0 % 0 % 100 %
Cleaning equipment depreciation 74 % 0 % 0 % 26 % 100 %
Vehicle expenses 0 % 82 % 0 % 18 % 100 %
Office expenses 0 % 0 % 58 % 42 % 100 %
President’s compensation 0 % 0 % 32 % 68 % 100 %

Job support consists of receiving calls from potential customers at the home office, scheduling jobs, billing, resolving issues, and so on.

Required:

1. Prepare the first-stage allocation of costs to the activity cost pools.

2. Compute the activity rates for the activity cost pools.

3. The company recently completed a 400 square foot carpet-cleaning job at the Flying N Ranch—a 58-mile round-trip journey from the company’s offices in Bozeman. Compute the cost of this job using the activity-based costing system.

4. The revenue from the Flying N Ranch was $91.20 (400 square feet @ $22.80 per hundred square feet). Calculate the customer margin earned on this job.

In: Accounting

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services,...

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services, the company has always charged a flat fee per hundred square feet of carpet cleaned. The current fee is $22.75 per hundred square feet. However, there is some question about whether the company is actually making any money on jobs for some customers—particularly those located on remote ranches that require considerable travel time. The owner’s daughter, home for the summer from college, has suggested investigating this question using activity-based costing. After some discussion, she designed a simple system consisting of four activity cost pools. The activity cost pools and their activity measures appear below:

Activity Cost Pool Activity Measure Activity for the Year
Cleaning carpets Square feet cleaned (00s) 13,500 hundred square feet
Travel to jobs Miles driven 142,000 miles
Job support Number of jobs 1,600 jobs
Other (organization-sustaining costs and idle capacity costs) None Not applicable

The total cost of operating the company for the year is $361,000 which includes the following costs:

Wages $ 137,000
Cleaning supplies 26,000
Cleaning equipment depreciation 12,000
Vehicle expenses 40,000
Office expenses 68,000
President’s compensation 78,000
Total cost $ 361,000

Resource consumption is distributed across the activities as follows:

Distribution of Resource Consumption Across Activities
Cleaning Carpets Travel to Jobs Job Support Other Total
Wages 76 % 14 % 0 % 10 % 100 %
Cleaning supplies 100 % 0 % 0 % 0 % 100 %
Cleaning equipment depreciation 68 % 0 % 0 % 32 % 100 %
Vehicle expenses 0 % 79 % 0 % 21 % 100 %
Office expenses 0 % 0 % 56 % 44 % 100 %
President’s compensation 0 % 0 % 26 % 74 % 100 %

Job support consists of receiving calls from potential customers at the home office, scheduling jobs, billing, resolving issues, and so on.

Required:

1. Prepare the first-stage allocation of costs to the activity cost pools.

2. Compute the activity rates for the activity cost pools.

3. The company recently completed a 600 square foot carpet-cleaning job at the Flying N Ranch—a 60-mile round-trip journey from the company’s offices in Bozeman. Compute the cost of this job using the activity-based costing system.

4. The revenue from the Flying N Ranch was $136.50 (600 square feet @ $22.75 per hundred square feet). Calculate the customer margin earned on this job.

In: Accounting

Homework 5, MAT 327/782, Fall 2018 For the R computations, submit the R commands you used...

Homework 5, MAT 327/782, Fall 2018
For the R computations, submit the R commands you used and their output, either by taking a screenshot or by copying them into a text file. Submit your graph as a pdf or image file.
All graphs should have labeled axes and a title.
1. The R dataset nhtemp contains the mean annual temperature (in F) in New Haven, Connecticut from 1912 to 1971.
(a) In R, compute the mean, sample standard deviation, sample skewness, and sample kurtosis of nhtemp.
(b) What can you say about the spread and shape of the nhtemp data using the information from part (a)? Hint: Remember Chebychev’s rule and rules of thumb.
(c) Plot a histogram and boxplot of nhtemp. Are these plots what you expected from part (b)? Why or why not?
(d) nhtemp is a time series. Plot it as an index plot. Does this plot give any new information? Do the histogram and/or boxplot show anything about the data that is not seen or hard to see in the index plot?
2. The R dataset co2 contains 468 measurements of the amount of carbon dioxide (CO2) in the atmosphere. The measurements were taken monthly from 1959 to 1997, and are in parts per million (ppm).
(a) (b)
(c) (d)
3. (a)
(b)
In R, compute the mean, sample standard deviation, sample skewness, and sample kurtosis of co2.
What can you say about the spread and shape of the nhtemp data using the information from part (a)? Hint: Remember Chebychev’s rule and rules of thumb.
Plot a histogram and boxplot of co2. Are these plots what you expected from part (b)? Why or why not?
co2 is a time series. Plot it as an index plot. Does this plot give any new information? Do the histogram and/or boxplot show anything about the data that is not seen or hard to see in the index plot?
The R dataset islands contains the areas (in 1000s of square miles) of land- masses more than 10,000 square miles. Plot the boxplot. What are the outliers?
Classify the outliers in the islands dataset as potential or suspected.
4. For MAT 782 only. Prove that skewness is location and scale independent. That is, show that for data x1, x2, ..., xn and for any non-zero constants c, a ∈ R, if yi =cxi +aforall1≤i≤n,then
1 ?ni=1(xi − x ̄)3 1 ?ni=1(yi − y ̄)3 n s3 =n s3y
where y ̄ is the mean and sy is the standard deviation of y1, y2, ..., yn.

In: Math

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services,...

Gallatin Carpet Cleaning is a small, family-owned business operating out of Bozeman, Montana. For its services, the company has always charged a flat fee per hundred square feet of carpet cleaned. The current fee is $22.70 per hundred square feet. However, there is some question about whether the company is actually making any money on jobs for some customers—particularly those located on remote ranches that require considerable travel time. The owner’s daughter, home for the summer from college, has suggested investigating this question using activity-based costing. After some discussion, she designed a simple system consisting of four activity cost pools. The activity cost pools and their activity measures appear below:

Activity Cost Pool Activity Measure Activity for the Year
Cleaning carpets Square feet cleaned (00s) 8,000 hundred square feet
Travel to jobs Miles driven 371,000 miles
Job support Number of jobs 1,800 jobs
Other (organization-sustaining costs and idle capacity costs) None Not applicable

The total cost of operating the company for the year is $358,000 which includes the following costs:

Wages $ 137,000
Cleaning supplies 33,000
Cleaning equipment depreciation 16,000
Vehicle expenses 35,000
Office expenses 59,000
President’s compensation 78,000
Total cost $ 358,000

Resource consumption is distributed across the activities as follows:

Distribution of Resource Consumption Across Activities
Cleaning Carpets Travel to Jobs Job Support Other Total
Wages 72 % 15 % 0 % 13 % 100 %
Cleaning supplies 100 % 0 % 0 % 0 % 100 %
Cleaning equipment depreciation 67 % 0 % 0 % 33 % 100 %
Vehicle expenses 0 % 85 % 0 % 15 % 100 %
Office expenses 0 % 0 % 57 % 43 % 100 %
President’s compensation 0 % 0 % 28 % 72 % 100 %

Job support consists of receiving calls from potential customers at the home office, scheduling jobs, billing, resolving issues, and so on.

Required:

1. Prepare the first-stage allocation of costs to the activity cost pools.

2. Compute the activity rates for the activity cost pools.

3. The company recently completed a 600 square foot carpet-cleaning job at the Flying N Ranch—a 53-mile round-trip journey from the company’s offices in Bozeman. Compute the cost of this job using the activity-based costing system.

4. The revenue from the Flying N Ranch was $136.20 (600 square feet @ $22.70 per hundred square feet). Calculate the customer margin earned on this job.

In: Accounting