Question

In: Statistics and Probability

A national computer retailer believes that the average sales are greater for salespersons with a college...

A national computer retailer believes that the average sales are greater for salespersons with a college degree. A random sample of 14 salespersons with a degree had an average weekly sale of $3542 last year, while 17 salespersons without a college degree averaged $3301 in weekly sales. The standard deviations were $468 and $642 respectively. Is there evidence to support the retailer’s belief?

a. This is a:

z-test for one proportion

t-test for the mean

t-test for matched pairs

z-test for the mean

t-test for the difference in 2 means

b. This is a:

one-tailed test

two-tailed test

c. The sample statistic is:

241

3542

3301

−174

d. The test statistic is:

1.207

199.724

28.563

0.0015

e. The p-value is

0.124

0.122

0.878

0.876

Solutions

Expert Solution

a.

t test for difference between 2 means

b.

One tailed test.

c.

241

d.

1.207

e.

Nearest value to p value is,

0.124

Dear student,
I am waiting for your feedback. I have given my 100% to solve your queries. If you satisfied with my answer then please please like this.
Thank You


Related Solutions

A power player is any U.S. retailer with sales equal to or greater than 10 percent...
A power player is any U.S. retailer with sales equal to or greater than 10 percent of those of the category leader. Department Stores: Department stores have survived the rise of sectors specializing in narrower product ranges, as well as the challenges of discount stores and other off-price retailers, and finally E-commerce. Gerald Storch, CEO of Hudson’s Bay, parent of Saks Fifth Avenue and Lord & Taylor, says, “Increasingly, consumers don’t think of stores as physical locations, they think of...
An educator believes the average scores on a national statistics quiz are equal for Monday, Tuesday,...
An educator believes the average scores on a national statistics quiz are equal for Monday, Tuesday, Wednesday, and Thursday administration days. A random sample of 20 test-takers is collected with the following sample results: Monday    Tuesday Wednesday Thursday 7 2 7 10 7 4 3    8 9 1 5 8 4   2 9 6 6 7 9 6 Test this hypothesis (by hand) and make sure to show all your work.
Carpetland salespersons average $8000 in sales per week. Steve Contois, the firm’s vice president, proposes a...
Carpetland salespersons average $8000 in sales per week. Steve Contois, the firm’s vice president, proposes a compensation plan with new selling incentives. Steve hopes that the results of a trial selling period will enable him to test whether the compensation plan would be effective. Before answering the following questions, you will need to first formulate the appropriate null and alternative hypotheses. a. What is the Type I error in this situation? What are the consequences of making this error? b....
The national average of college students on a test of sports trivia is 50 with a...
The national average of college students on a test of sports trivia is 50 with a standard deviation of 5. A sportscaster is interested in whether BC students know less about sports than the national average. The sportscaster tests a random sample of 25 BC students and obtains a mean of 48 Use an alpha level of 0.05. Is this a one-tailed or two tailed test?
The national average of college students on a test of sports trivia is 50 with a...
The national average of college students on a test of sports trivia is 50 with a standard deviation of 5. A sportscaster is interested in whether BC students know less about sports than the national average. The sportscaster tests a random sample of 25 BC students and obtains a mean of 48 Use an alpha level of 0.05. 1. State the z score(s) that form the boundaries of the critical region. Use an alpha level of 0.05. 2. Calculate the...
Suppose that the national average for the math portion of the College Board's SAT is 548....
Suppose that the national average for the math portion of the College Board's SAT is 548. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores. If required, round your answers to two decimal places. (a) What percentage of students have an SAT math score greater than 648? % (b) What percentage of students have an SAT...
1. Suppose that the national average for the math portion of the College Board's SAT is...
1. Suppose that the national average for the math portion of the College Board's SAT is 528. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores. If required, round your answers to two decimal places. If your answer is negative use “minus sign”. (a) What percentage of students have an SAT math score greater than 628?...
Suppose that the national average for the math portion of the College Board's SAT is 535....
Suppose that the national average for the math portion of the College Board's SAT is 535. The College Board periodically rescales the test scores such that the standard deviation is approximately 75. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores. If required, round your answers to two decimal places. (a) What percentage of students have an SAT math score greater than 610? ______% (b) What percentage of students have an SAT...
Suppose that the national average for the math portion of the College Board's SAT is 516....
Suppose that the national average for the math portion of the College Board's SAT is 516. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores. If required, round your answers to two decimal places. (a) What percentage of students have an SAT math score greater than 616? % (b) What percentage of students have an SAT...
Suppose that the national average for the math portion of the College Board's SAT is 531....
Suppose that the national average for the math portion of the College Board's SAT is 531. The College Board periodically rescales the test scores such that the standard deviation is approximately 100. Answer the following questions using a bell-shaped distribution and the empirical rule for the math test scores. If required, round your answers to two decimal places. (a) What percentage of students have an SAT math score greater than 631? (b) What percentage of students have an SAT math...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT