Test the claim that the proportion of people who own cats is
smaller than 30% at the 0.005 significance level.
The null and alternative hypothesis would be:
H0:μ≥0.3H0:μ≥0.3
H1:μ<0.3H1:μ<0.3
H0:μ≤0.3H0:μ≤0.3
H1:μ>0.3H1:μ>0.3
H0:p≤0.3H0:p≤0.3
H1:p>0.3H1:p>0.3
H0:p≥0.3H0:p≥0.3
H1:p<0.3H1:p<0.3
H0:μ=0.3H0:μ=0.3
H1:μ≠0.3H1:μ≠0.3
H0:p=0.3H0:p=0.3
H1:p≠0.3H1:p≠0.3
The test is:
right-tailed
left-tailed
two-tailed
Based on a sample of 700 people, 24% owned cats
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
In: Statistics and Probability
Requirement: 1
Tharaldson Corporation makes a product with the following standard costs:
| Standard Quantity or Hours | Standard Price or Rate | Standard Cost Per Unit | |||||||
| Direct materials | 5.7 | ounces | $ | 2.00 | per ounce | $ | 11.40 | ||
| Direct labor | 0.2 | hours | $ | 11.00 | per hour | $ | 2.20 | ||
| Variable overhead | 0.2 | hours | $ | 6.00 | per hour | $ | 1.20 | ||
The company reported the following results concerning this product in June.
| Originally budgeted output | 3,900 | units | |
| Actual output | 3,500 | units | |
| Raw materials used in production | 20,700 | ounces | |
| Purchases of raw materials | 21,800 | ounces | |
| Actual direct labor-hours | 530 | hours | |
| Actual cost of raw materials purchases | $ | 42,600 | |
| Actual direct labor cost | $ | 13,900 | |
| Actual variable overhead cost | $ | 3,950 | |
The company applies variable overhead on the basis of direct labor-hours. The direct materials purchases variance is computed when the materials are purchased.
The variable overhead efficiency variance for June is:
Requirement: 2
Tharaldson Corporation makes a product with the following standard costs:
| Standard Quantity or Hours | Standard Price or Rate | Standard Cost Per Unit | |||||||
| Direct materials | 6.6 | ounces | $ | 3.00 | per ounce | $ | 19.80 | ||
| Direct labor | 0.3 | hours | $ | 10.00 | per hour | $ | 3.00 | ||
| Variable overhead | 0.3 | hours | $ | 5.00 | per hour | $ | 1.50 | ||
The company reported the following results concerning this product in June.
| Originally budgeted output | 2,000 | units | |
| Actual output | 2,500 | units | |
| Raw materials used in production | 19,000 | ounces | |
| Purchases of raw materials | 15,000 | ounces | |
| Actual direct labor-hours | 510 | hours | |
| Actual cost of raw materials purchases | $ | 40,000 | |
| Actual direct labor cost | $ | 12,000 | |
| Actual variable overhead cost | $ | 3,000 | |
The company applies variable overhead on the basis of direct labor-hours. The direct materials purchases variance is computed when the materials are purchased.
The variable overhead rate variance for June is:
In: Accounting
In: Statistics and Probability
Because of high tuition costs at state and private universities, enrollments at community colleges have increased dramatically in recent years. The following data show the enrollment (in thousands) for Jefferson Community College for the nine most recent years.
Click on the datafile logo to reference the data.
Year |
Period (t) |
Enrollment (1,000s) |
| 2001 | 1 | 6.5 |
| 2002 | 2 | 8.1 |
| 2003 | 3 | 8.4 |
| 2004 | 4 | 10.2 |
| 2005 | 5 | 12.5 |
| 2006 | 6 | 13.3 |
| 2007 | 7 | 13.7 |
| 2008 | 8 | 17.2 |
| 2009 | 9 | 18.1 |
| (a) | Choose the correct time series plot. | ||||||||||||
|
|||||||||||||
| - Select your answer -Plot (i)Plot (ii)Plot (iii)Plot (iv)Item 1 | |||||||||||||
| What type of pattern "significantly" exists in the data? (Use 1% level of significance when needed) | |||||||||||||
| - Select your answer -Only randomnessRandomness & Linear trendRandomness & SeasonalityRandomness, Linear trend & SeasonalityItem 2 | |||||||||||||
| (b) | Use simple linear regression analysis to find the parameters for the line that minimizes MSE for this time series. | ||||||||||||
| If required, round your answers to two decimal places. | |||||||||||||
| y-intercept, b0 = | |||||||||||||
| Slope, b1 = | |||||||||||||
| MSE = | |||||||||||||
| (c) | What is the forecast for year 10? | ||||||||||||
| Do not round your interim computations and round your final answer to two decimal places. | |||||||||||||
| (d) | Use the Holt's method with smoothing constants of 0.3 for alpha and 0.6 for gamma. Find the equation of the forecast line and the MSE for this method. | ||||||||||||
| If required, round your answers to two decimal places. | |||||||||||||
| y-intercept, b0 = | |||||||||||||
| Slope, b1 = | |||||||||||||
| MSE = | |||||||||||||
| (e) | What is the forecast for year 10? | ||||||||||||
| Do not round your interim computations and round your final answer to two decimal places. | |||||||||||||
| (f) | Which of the following methods perform better with respect to MSE? - Select your answer -RegressionHolt's with alpha=0.3, gamma=0.6Holt's with alpha=0.2, gamma=0.2 |
In: Statistics and Probability
The structure of the hotel industry
1- Describe the organizational chart of a 68-room,
economy class hotel, franchised under a major chain’s logo, which
has no food and beverageservice, not even breakfast.
2- Sketch the floor plan of the same hotel described abov
please answer on paper to avoid plagorism
In: Civil Engineering
Hadey is approaching the housing situation from a different direction. He does a little research and learns that the mean rent for a one bedroom one bathroom apartment in Avocado Park is $1050 per month with a standard deviation of $125 per month.
A. The Avocado Park Housing Authority defines affordable housing as costing LESS than $900 per month for a 1B1R. Would such an apartment be considered unusual for the neighborhood?
B. Hadey wants to develop a new apartment building in Avocado Park offering 1B1R units at a price of $1000 per month. What effect would this new building have on the mean and standard deviation for 1B1R in Avocado Park?
C. If the Avocado Park Housing Authority issued vouchers to subsidize all 1B1Rs in the neighborhood and they lowered the rent on each unit by exactly $100 per month, what would the new mean and standard deviation be for the cost of renting a 1B1R in Avocado Park.
In: Statistics and Probability
Tombro Industries is in the process of automating one of its plants and developing a flexible manufacturing system. The company is finding it necessary to make many changes in operating procedures. Progress has been slow, particularly in trying to develop new performance measures for the factory.
In an effort to evaluate performance and determine where improvements can be made, management has gathered the following data relating to activities over the last four months:
|
Month |
||||||||
| 1 | 2 | 3 | 4 | |||||
| Quality control measures: | ||||||||
| Number of defects | 187 | 165 | 126 | 91 | ||||
| Number of warranty claims | 48 | 41 | 32 | 29 | ||||
| Number of customer complaints | 104 | 98 | 81 | 60 | ||||
| Material control measures: | ||||||||
| Purchase order lead time | 8 days | 7 days | 5 days | 4 days | ||||
| Scrap as a percent of total cost | 1 | % | 1 | % | 2 | % | 3 | % |
| Machine performance measures: | ||||||||
| Machine downtime as a percentage of availability | 5 | % | 6 | % | 6 | % | 10 | % |
| Use as a percentage of availability | 94 | % | 91 | % | 88 | % | 84 | % |
| Setup time (hours) | 8 | 10 | 11 | 12 | ||||
| Delivery performance measures: | ||||||||
| Throughput time | ? | ? | ? | ? | ||||
| Manufacturing cycle efficiency (MCE) | ? | ? | ? | ? | ||||
| Delivery cycle time | ? | ? | ? | ? | ||||
| Percentage of on-time deliveries | 95 | % | 94 | % | 91 | % | 88 | % |
The president has read in industry journals that throughput time, MCE, and delivery cycle time are important measures of performance, but no one is sure how they are computed. You have been asked to assist the company, and you have gathered the following data relating to these measures:
|
Average per Month (in days) |
||||
| 1 | 2 | 3 | 4 | |
| Wait time per order before start of production | 8.0 | 10.8 | 11.0 | 13.0 |
| Inspection time per unit | 0.8 | 0.7 | 0.7 | 0.7 |
| Process time per unit | 2.4 | 2.1 | 1.6 | 1.0 |
| Queue time per unit | 2.6 | 4.0 | 5.3 | 7.6 |
| Move time per unit | 0.2 | 0.4 | 0.4 | 0.7 |
Required:
1-a. Compute the throughput time for each month. (Round your answers to 1 decimal place.)
|
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1-b. Compute the manufacturing cycle efficiency (MCE) for each month. (Round your answers to 1 decimal place.)
|
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1-c. Compute the delivery cycle time for each month. (Round your answers to 1 decimal place.)
|
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3-a. Refer to the inspection time, process time, and so forth, given for month 4. Assume that in month 5 the inspection time, process time, and so forth, are the same as for month 4, except that the company is able to completely eliminate the queue time during production using Lean Production. Compute the new throughput time and MCE. (Round your answers to 1 decimal place.)
|
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3-b. Refer to the move time, process time, and so forth, given for month 4. Assume that in month 6 the inspection time, process time, and so forth, are the same as in month 4, except that the company is able to eliminate both the queue time during production and the inspection time using Lean Production. Compute the new throughput time and MCE.. (Round your answers to 1 decimal place.)
|
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In: Accounting
Can I get a Step by Step on how to do this problem
Test the claim that the proportion of people who own cats is larger
than 80% at the 0.005 significance level.
The null and alternative hypothesis would be:
H0:p≤0.8H0:p≤0.8
H1:p>0.8H1:p>0.8
H0:μ=0.8H0:μ=0.8
H1:μ≠0.8H1:μ≠0.8
H0:p≥0.8H0:p≥0.8
H1:p<0.8H1:p<0.8
H0:p=0.8H0:p=0.8
H1:p≠0.8H1:p≠0.8
H0:μ≥0.8H0:μ≥0.8
H1:μ<0.8H1:μ<0.8
H0:μ≤0.8H0:μ≤0.8
H1:μ>0.8H1:μ>0.8
The test is:
right-tailed
left-tailed
two-tailed
Based on a sample of 700 people, 82% owned cats
The test statistic is: (to 2 decimals)
The p-value is: (to 2 decimals)
Based on this we:
In: Statistics and Probability
Two sample t-test:
Suppose you are interested in deciding if the 1990 toyota four runner has been equally as reliable as the 1990 honda passport. You go out and randomly sample 5 people who own a 1990 toyota and 5 other people who own a 1990 honda and ask them how often they take their vehicles in for maintenance. Here is the data (in thousands of miles)
Honda: 29, 33, 28, 31, 27
Toyota: 31, 35, 32, 34, 30
a. state the null and the alternative hypotheses
b. compute the means and standard deviations of the two samples
c. compute the two-sample t-statistic
d. how many degrees of freedom?
e. compute p-value
f. at an alpha= 0.05 would you accept of reject the null hypothesis?
In: Statistics and Probability
An automotive researcher wanted to estimate the difference in distance required to come to a complete stop while traveling 40 miles per hour on wet versus dry pavement. Because car type plays a role, the researcher used eight different cars with the same driver and tires. The breaking distance (in feet) on both wet and dry pavement is shown in the data below. Car 1 2 3 4 5 6 7 8 Wet 107 101 109 112 105 106 111 108 Dry 72 69 74 73 76 75 78 81 a) Construct a 99% Confidence Interval for the mean difference in stopping distance between wet and dry roads. b) Test whether there is a difference in stopping distances between wet and dry roads at 1% level of significance.
In: Statistics and Probability