Questions
Test the claim that the proportion of people who own cats is smaller than 30% at...

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:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis

In: Statistics and Probability

Requirement: 1 Tharaldson Corporation makes a product with the following standard costs: Standard Quantity or Hours...

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

Question 4 A shop is planning an order for a popular Christmas festive season product. Demand...

Question 4
A shop is planning an order for a popular Christmas festive season product. Demand for the product usually starts from first week of December till first week of January and reduces sharply thereafter. For this reason, and to stimulate sales for leftovers, the product is sold at a significantly reduced price from the second week of January to the fourth week of January. Any leftover after the fourth week of January goes waste. The table below gives past data on total demand for the period from first week of December to first week of January, and from second week of January to fourth week of January, together with their respective chances of occurrence. The product can be purchased at a wholesale price of GHS60 per unit for a pack containing 600 products, GHS57 per unit for a pack containing 800 products, and GHS52 per unit for a pack containing 1000 products. The shop plans to sell the product for GHS80 per unit from first week of December to first week of January, and at a reduced price of 30% thereafter.
  
1st week of December to 1st week of January
2nd week of January to 4th week of January
  
  
  
  
Demand
Probability
Demand
Probability
  
  
  
  
500
0.1
320
0.5
  
  
  
  
600
0.3
180
0.3
  
  
  
  
750
0.4
130
0.2
  
  
  
  
850
0.2
i. What is the expected profit when a pack containing 600 products is ordered?
ii. What the expected profit when a pack containing 800 products is ordered?
iii. What is the expected profit when a pack containing 1000 products is ordered?
iv. What is the standard deviation of the profit when a pack of 800 is ordered? State any assumption you used in calculating this value and with justification.
v. What is the standard deviation of the profit when a pack of 1000 is ordered? Apply the same assumption you used in (iv) above.
vi. Which of the two, a pack of 800 or a pack of 1000 products should be ordered in order to minimize risk associated with profit? Give reasons for your answer.

In: Statistics and Probability

Because of high tuition costs at state and private universities, enrollments at community colleges have increased...

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.
(i) (ii)
(iii) (iv)
- 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...

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...

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...

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.)

Throughput Time
Month 1 days
Month 2 days
Month 3 days
Month 4 days

1-b. Compute the manufacturing cycle efficiency (MCE) for each month. (Round your answers to 1 decimal place.)

Manufacturing cycle efficiency (MCE)
Month 1 %
Month 2 %
Month 3 %
Month 4 %

1-c. Compute the delivery cycle time for each month. (Round your answers to 1 decimal place.)

Delivery cycle time
Month 1 days
Month 2 days
Month 3 days
Month 4 days

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.)

  

Month 5
Throughput time days
Manufacturing cycle efficiency (MCE) %

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.)

Month 6
Throughput time days
Manufacturing cycle efficiency (MCE) %

In: Accounting

Can I get a Step by Step on how to do this problem Test the claim...

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:

  • Fail to reject the null hypothesis
  • Reject the null hypothesis

In: Statistics and Probability

Two sample t-test: Suppose you are interested in deciding if the 1990 toyota four runner has...

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...

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