9. Firm ABC in Ottawa very prides itself in its ability to fill customers' orders in six calendar daysor less on the average. Periodically, the operations manager selects a random sample ofcustomer orders and determines the number of days required to fill the orders. Based on thissample information, he decides if the desired standard is not being met. He will assume that theaverage number of days to fill customers' orders is six or less unless the data suggest stronglyotherwise.(a) Establish the appropriate null and alternative hypotheses.(b) On one occasion when a sample of 20 customers was selected, the average number ofdays was 6.65, with a sample standard deviation of 1.5 days. Can the operations managerconclude that his business is achieving its goal? Do the test with a significance level of0.025 and specify the assumption required to do the test.

Answered: Image /qna-images/answer/3b987c73-7041-43cd-929c-7d9b20a5c145.jpg

Answered: 9. Firm ABC in Ottawa very prides…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Suppose that Mairin has knit a collection of wool‑blend infinity scarves that she wants to sell in her Etsy shop for $28.00 each. However, she is worried that if the average price of comparable scarves is less than $28.00, hers would be less likely to sell. Mairin selected a random sample of 9 similar hand‑knit, wool‑blend infinity scarves, and their prices are as follows. $21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00$21.75,$24.00,$27.25,$29.95,$23.00,$26.00,$27.80,$33.50,$27.00 Use a left‑tailed one‑sample ?t‑test to determine whether the average price of hand‑knit, wool‑blend infinity scarves sold on Etsy is less than $28.00. Assume that the prices of all comparable scarves are normally distributed. Mairin should (reject, accept, fail to accept) her null hypothesis. There is (sufficient, no, insufficient) evidence that the mean price of hand‑knit, wool‑blend infinity scarves is (greater than, different from, less than, equal two) $28.00.
The United States Bureau of Labor Statistics (BLS) conducts the Quarterly Census of Employment and Wages (QCEW) and reports a variety of information on each county in America. In the third quarter of 2016, the QCEW reported the total taxable earnings, in millions, of all wage earners in all 3222 counties in America. Suppose that James is an economist who collects a simple random sample of the total taxable earnings of workers in 52 American counties during the third quarter of 2016. According to the QCEW, the true population mean and standard deviation of taxable earnings, in millions of dollars, by county are μ=28.29 and σ=33.493, respectively. Let ?X be the total taxable earnings, in millions, of all wage earners in a county. The mean total taxable earnings of all wage earners in a county across all the counties in James' sample is x¯. Use the central limit theorem (CLT) to determine the probability ? that the mean taxable wages in James' sample of 52 counties will be less than $29…
3. A newly graduate of administration of justice has been hired by the regional director of the FBI to take a poll of a residential area to determine the proportion of residents who would be opposed to a gun exchange program in their community. The regional director of the FBI told her that if 50% or more of the residents are opposed to the idea, a gun exchange program will not be implemented. She takes a random sample of 150 household heads in the community and find that .42 of those sampled are opposed to the idea. Build a 99% confidence interval around this point estimate. Is 50% within her interval? What would she advise the regional director of the FBI who hired her?
1. In the state of Pennsylvania 12% of students submit box tops for education to their school. A large school district in westem Pennsylvahia runs a contest to see if they can increase participation. The superintendent takes a random sample of 210 students from the district and finds that 35 have submitted box tops this year. (a) Do these data provide convincing evidence that the contest has increased participation in the box tops for education program? (b) Interpret the P-value from part (a).
c and d please
1. A lawn mower company will produce 1,500 lawn mowers by 2020. In an effort to determine how much maintenance free consumers will take when they already buy lawn mowers, the company decided to conduct a study over the past 1 year of these mowers. . First, a random sample was taken by contacting 200 grass mowers. The company owner provides an 800 number and is asked to contact the company when the first repair is needed for the lawn mower. Owners who no longer use lawn mowers to cut their grass are either disqualified or not sampled. After 1 year, it turned out that 187 owners had reported for the first repair. However, the other 50 disqualified themselves. The average number per year until the first improvement was 5.3 times for samples deemed feasible. It is believed that the standard deviation is 1.28 per year. If the company wants to advertise the lawnmower and with a confidence level of 95%, what is the estimated annual mean value of repair-free lawn mower for this lawn mower?…
An executive at the home office of Big Rock Life Insurance is considering three branch managers as candidates for promotion to vice president. The branch reports include records showing sales volume for each salesperson in the branch (in hundreds of thousands of dollars). A random sample of these records was selected for salespersons in each branch. All three branches are located in cities in which per capita income is the same. The executive wishes to compare these samples to see if there is a significant difference in performance of salespersons in the three different branches. If so, the information will be used to determine which of the managers to promote. Branch Managed by Adams Branch Managed by McDale Branch Managed by Vasquez 7.8 8.8 6.5 6.6 10.3 8.7 10.1 11.7 10.1 10.6 9.4 11.4 9.1 10.2 Use a 1% level of significance. Shall we reject or not reject the claim that there are no differences among the performances of the salespersons in the different…
Vaughn Family Instruments makes cellos. During the past year, the company made 6,560 cellos even though the budget planned for only 5,710. The company paid its workers an average of $20 per hour, which was $0.50 higher than the standard labor rate. The production manager budgets 4 direct labor hours per cello. During the year, a total of 24,450 direct labor hours were worked.(a) Calculate the direct labor rate and efficiency variances. (If variance is zero, select "Not Applicable" and enter 0 for the amounts.) Direct labor rate variance $enter the direct labor rate variance in dollars select an option Direct labor efficiency variance $
The personality characteristics of business leaders (e.g., CEOS) are related to the operations of the businesses that they lead (Oreg & Berson, 2018). Traits like openness to experience are related to positive financial outcomes and other traits are related to negative financial outcomes for their businesses. Suppose that a board of directors is interested in evaluating the personality of their leadership. Among a sample of n = 16 managers, the sample mean of the openness to experiences dimension of personality was M = 4.50. Assuming that u = 4.24 and o = 1.05 (Cobb-Clark & Schurer, 2012), use a two-tailed hypothesis test with a = .05 to test the hypothesis that this company's business leaders' openness to experience is different from the population. Standard Normal Distribution Mean - 0.0 Standard Deviation 1.0 .7198 .1401 .1401 -3.0 -2.0 -1.0 0.0 1.0 2.0 3.0 -1.08 1.08 Step 1. Ho: ; H;: a = .05. Step 2. The critical region consists of Step 3. For these data the standard error is and…
The United States Bureau of Labor Statistics (BLS) conducts the Quarterly Census of Employment and Wages (QCEW) and reports a variety of information on each county in America. In the third quarter of 2016, the QCEW reported the total taxable earnings, in millions, of all wage earners in all 3222 counties in America. Suppose that James is an economist who collects a simple random sample of the total taxable earnings of workers in 56 American counties during the third quarter of 2016. According to the QCEW, the true population mean and standard deviation of taxable earnings, in millions of dollars, by county are ?=28.29 and ?=33.493 , respectively. Let ? be the total taxable earnings, in millions, of all wage earners in a county. The mean total taxable earnings of all wage earners in a county across all the counties in James' sample is ?⎯⎯⎯ . Use the central limit theorem (CLT) to determine the probability ? that the mean taxable wages in James' sample of 56 counties will be less than…
A government official is in charge of allocating social programs throughout the city of Vancouver. He will decide where these social outreach programs shoulde located based on the percentage of residents living below the poverty line in each region of the city. He takes a simple random sample of 130 people living in Gastown and finds that 21 have an annual income that is below the poverty line. Part i) The proportion of the 130 people who are living below the poverty line, 21/130, is a: A. parameter. B. statistic. C. variable of interest. Part ii) Use the sample data to compute a 95% confidence interval for the true proportion of Gastown residents living below the poverty line. (Please carry answers to at least six decimal places in intermediate steps. Give your final answer to the nearest three decimal places). 00 95% confidence interval=

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