DataSpan, Inc., automated its plant at the start of the current year and installed a flexible manufacturing system. The company is also evaluating its suppliers and moving toward Lean Production. Many adjustment problems have been encountered, including problems relating to performance measurement. After much study, the company has decided to use the performance measures below, and it has gathered data relating to these measures for the first four months of operations.

Management has asked for your help in computing throughput time, delivery cycle time, and MCE. The following average times have been logged over the last four months:

1. Evaluate the company’s performance over the last four months. (Indicate the effect of each trend by selecting "Favorable" or  "Unfavorable" or "None" for no effect (i.e., zero variance).

2-a. (Month 5) Refer to the move time, process time, and so forth, given for month 4. Assume that in month 5 the move time, process time, and so forth, are the same as in month 4, except that through the use of Lean Production the company is able to completely eliminate the queue time during production. Compute the new throughput time and MCE.

2-b. (Month 6) Refer to the move time, process time, and so forth, given for month 4. Assume in month 6 that the move time, process time, and so forth, are again the same as in month 4, except that the company is able to completely eliminate both the queue time during production and the inspection time. Compute the new throughput time and MCE.

(Round your answers to 1 decimal place.)

3-a. Compute the throughput time for each month.
3-b. Compute the delivery cycle time for each month.
3-c. Compute the manufacturing cycle efficiency (MCE) for each month.

(Round your answers to 1 decimal place.)

In the year 2000, the average car had a fuel economy of 24.6 MPG. You are curious as to whether the average in the present day is greater than the historical value. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≤ 24.6, Alternative Hypothesis: μ > 24.6. If the true average fuel economy today is 39.2 MPG and the null hypothesis is rejected, did a type I, type II, or no error occur?

Question 16 options:

As of 2012, the proportion of students who use a MacBook as their primary computer is 0.46. You believe that at your university the proportion is actually less than 0.46. The hypotheses for this scenario are Null Hypothesis: p ≥ 0.46, Alternative Hypothesis: p < 0.46. You conduct a random sample and run a hypothesis test yielding a p-value of 0.2017. What is the appropriate conclusion? Conclude at the 5% level of significance.

Question 15 options:

Does the amount of hazardous material absorbed by the bodies of hazardous waste workers depend on gender? The level of lead in the blood was determined for a sample of men and a sample of women who dispose of hazardous waste as a full time job. You want to test the hypotheses that the amount absorbed by men is greater than the amount absorbed by women. After performing a hypothesis test for two independent samples, you see a p-value of 0.3307. Of the following, which is the appropriate conclusion?

Question 14 options:

Suppose the national average dollar amount for an automobile insurance claim is $745.252. You work for an agency in Michigan and you are interested in whether or not the state average is greater than the national average. The hypotheses for this scenario are as follows: Null Hypothesis: μ ≤ 745.252, Alternative Hypothesis: μ > 745.252. A random sample of 100 claims shows an average amount of $757.836 with a standard deviation of $86.2777. What is the test statistic and p-value for this test?

Question 13 options:

An engineer will deposit 15% of her salary each year into a retirement fund. If her current annual salary is $80,000 and she expects that it will increase by 5% each year, what will be the present worth of the fund after 35 years if it earns 5% per year?

a. $1.3 million

b. $3.4 million

c. $2.2 million

d. $4.5 million

The average undergraduate cost of tuition, fees and books for a two year college is $10,560. Four years later, a random sample 36 two year colleges, had an average cost of tuition, fees and books of $11,380 and a standard deviation of $1300, with a normal distribution. At α = 2%, has the average cost of two-year college increased?

1) Check and state the conditions for statistical inference.

2) Compute a 95% confidence interval for the average cost of tuition fees and books for a two year college.

3) Write a statement interpreting the confidence interval.

4) Write the null and alternate hypotheses.

5) Calculate the standard error and sketch the model, marking the center and ± SD’s

6) Calculate the p-value, showing ALL the work.

7) State the conclusion, remember there are three parts. Remember that α =2% or α =.02.

In a particular year, 68% of online courses taught at a system of community colleges were taught by full-time faculty. To test if 68% also represents a particular state's percent for full-time faculty teaching the online classes, a particular community college from that state was randomly selected for comparison. In that same year, 31 of the 44 online courses at this particular community college were taught by full-time faculty. Conduct a hypothesis test at the 5% level to determine if 68% represents the state in question.

Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.)

A. State the distribution to use for the test. (Round your standard deviation to four decimal places.)
P' ~ ________ (________,_________)

B. What is the test statistic? (Round your answer to two decimal places.)

C. What is the p-value? (Round your answer to four decimal places.)

D. Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion.

(i) Alpha:
α =

E. Construct a 95% confidence interval for the true proportion. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to four decimal places.)

Reliable Manufacturing, Inc. is a calendar year, accrual method C Corporation that is the business of manufacturing widgets. Its taxable income averages $2,000,000 each year. On June 1, 2010, Reliable Manufacturer purchased a new manufacturing building in Minneapolis for $2,500,00. The land was allocated $500,000 and the building was allocated $2,000,000 of the purchase price. The building will be placed in service immediately upon purchase. Reliable Manufacturer occupied the building from June 1, 2010 through October 29, 2017. Reliable Manufacturer has entered into a purchase agreement to sell the land and the manufacturing building on October 29, 2017. a) What is the maximum tax cost recovery deduction Reliable Manufacturer can take on the manufacturing building in 2010? Please show your work and explain your calculations. b) What is the maximum tax cost recovery deduction Reliable Manufacturer can take on the manufacturing building in 2015 and 2016? Please show you work and explain your calculations. c) What is the maximum tax cost recovery deduction Reliable Manufacturer can take on the manufacturing building in 2017? Please show your work and explain your calculations.

RFK Limited expects earnings this year of $ 4.16 per​ share, and it plans to pay a $ 2.59 dividend to shareholders. RFK will retain $ 1.57 per share of its earnings to reinvest in new projects which have an expected return of 15.8 % per year. Suppose RFK will maintain the same dividend payout​ rate, retention rate and return on new investments in the future and will not change its number of outstanding shares.

a. ​RFK's growth rate of earnings is nothing​%. ​(Round to one decimal​ place.)

b. If​ RFK's equity cost of capital is 11.7 %​, then​ RFK's share price will be ​$ nothing. ​(Round to the nearest​ cent.)

c. If RFK paid a dividend of $ 3.59 per share this year and retained only $ 0.57 per share in​ earnings, then​ RFK's share price would be ​$ nothing. ​ (Round to the nearest​ cent.) Should RFK follow this new​ policy? ​(Select the best choice​ below.)

A. ​Yes, RFK should raise dividends​ because, according to the​ dividend-discount model, doing so will always improve the share price.

B. ​No, RFK should not raise dividends because companies should always reinvest as much as possible.

C. ​No, RFK should not raise dividends because the projects are positive NPV.

D. ​Yes, RFK should raise dividends because the return on new investments is lower than the cost of capital.

Bonnie J, a 4o0 year old woman with past history of kidney infections

The average “moviegoer” sees 8.5 movies a year. A moviegoer is defined as a person who sees at least one movie in a theater in a 12-month period. A random sample of 40 moviegoers from a large university revealed that the average number of movies seen per person was 9.6. The population standard deviation is 3.2 movies. At the 0.05 level of significance, can it be concluded that this represents a difference from the national average?

STEP 1. State the null and alternate hypothesis

The hypotheses are  (Enter an UPPER CASE Letter Only.)

STEP 2. State the critical value(s). Enter the appropriate letter.

z =

STEP 3. Calculate the test value

z =

STEP 4. Make the decision by rejecting or not rejecting the null hypothesis. Since the test value falls in the non-rejection region, we do not reject the null hypothesis.

Conclusion 1. Reject the null hypothesis. At the α = 0.05 significance level there is enough evidence to conclude that the average number of movies seen by people each year is not different from 8.5.

Conclusion 2. Reject the null hypothesis. At the α = 0.05 significance level there is enough evidence to conclude that the average number of movies seen by people each year is different from 8.5.

Conclusion 3. Do not reject the null hypothesis. At the α = 0.05 significance level there is enough evidence to conclude that the average number of movies seen by people each year is different from 8.5.

Conclusion 4. Do not reject the null hypothesis. At the α = 0.05 significance level there is enough evidence to conclude that the average number of movies seen by people each year is 8.5.

(Enter a number only from the list 1, 2, 3, or 4)

The mean number of sick days an employee takes per year is believed to be about 10. Members of a personnel department do not believe this figure. They randomly survey 8 employees. The number of sick days they took for the past year are as follows: 12; 6; 15; 5; 11; 10; 6; 8. Let X = the number of sick days they took for the past year. Should the personnel team believe that the mean number is about 10? Conduct a hypothesis test at the 5% level. Note: If you are using a Student's t-distribution for the problem, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) A.) State the distribution to use for the test. (Enter your answer in the form z or tdf where df is the degrees of freedom.) B.) What is the test statistic? (If using the z distribution round your answers to two decimal places, and if using the t distribution round your answers to three decimal places.) C.) What is the p-value? (Round your answer to four decimal places.) D.) Indicate the correct decision ("reject" or "do not reject" the null hypothesis), the reason for it, and write an appropriate conclusion. (i) Alpha (Enter an exact number as an integer, fraction, or decimal.) E.) Construct a 95% confidence interval for the true mean. Sketch the graph of the situation. Label the point estimate and the lower and upper bounds of the confidence interval. (Round your answers to three decimal places.)