A consumer magazine has contacted a simple random sample of 33 owners of a certain model of automobile and asked each owner how many defects had to be corrected within the first 2 months of ownership The average number of defects was x bar 3 7, with a standard deviation of 1 8 defects a Use the t distribution to construct a 95 confidence interval for the average number of defects for this model b Use the z distribution to construct a 95 confidence interval for the average number of defects for this model c Given that the population standard deviation is not known, which of these two confidence intervals should be used as the interval estimate for

Question: A consumer magazine has contacted a simple random sample of 33 owners of a certain model of automobile and asked each owner how many defects

A consumer magazine has contacted a simple random sample of 33 owners of a certain model of automobile and asked each owner how many defects had to be corrected within the first 2 months of ownership. The average number of defects was x-bar = 3.7, with a standard deviation of 1.8 defects.
a. Use the t to construct a 95% confidence interval for μ = the average number of defects for this model.
b. Use the z to construct a 95% confidence interval for μ = the average number of defects for this model.
c. Given that the population standard deviation is not known, which of these two confidence intervals should be used as the interval estimate for μ?

Step by Step Solution

★★★★★

3.46 Rating (169 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock

a For a confidence level of 95 the righttail area of interest ... View full answer

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Document Format (1 attachment)

522-M-S-O-T-S-E (446).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

A magazine is considering the launch of an online edition. The magazine plans to go ahead only if it's convinced that more than 25% of current readers would subscribe. The magazine contacted a simple...

A simple random sample of 25 filtered 100-mm cigarettes is obtained, and the tar content of each cigarette is measured. The sample has a standard deviation of 3.7 mg (based on Data Set 10 in Appendix...

A simple random sample of size 3 has produced sample values 120, 130, and 140. Assume the population distribution of values is normal. a. Compute the sample average, x, and the sample standard...

A consumer magazine has contacted a simple random sample of 33 owners of a certain model of automobile and asked each owner how many defects had to be corrected within the first 2 months of...

1. In a survey concerning electronic monitoring and surveillance, it was found that 112 of 320 businesses fired worker for misuse of the Internet, and 225 of 750 businesses fired workers for email...

Business Research Methodology- Question Bank 1 1. When the marketing department of an organization attempts to determine the amount of time the managers in this department spend at their computers in...

Business Research MethodologyQuestion Bank 1 1. When the marketing department of an organization attempts to determine the amount of time the managers in this department spend at their computers in...

10. An experimenter has some degree of control over the: a. independent variable. b. correlative variable. c. history effect. d. All of the above, if the experiment is conducted properly. 11. If a...

MS1023 Business Statistics with Computer Applications MS1023 Business Statistics w/Comp Apps I Homework #3 - Use Red Par Score Form Chp. 7: Questions 1-50 1. Kristen Ashford purchased the subscribers...

1. An article discussed the changes that banks in a certain country are making to the way they calculate the minimum payment due on credit card balances. The changes are being pushed by regulators in...

ChildCare Industries manufactures infant car seats that it sells to retailers for $155 each. The costs to manufacture each additional seat are $65, and the monthly fixed costs are $18,000. a. How...

Sweet Street Muffins sells its muffins to restaurants and coffee houses for an average selling price of $ 33 per case. The following information relates to the budget for Sweet Street Muffins for...

Both checks and debit cards will immediately transfer funds from the customer's account to the seller's account. answer choices: true false

You read in your local newspaper that DB plans are only allowed to make contributions up to the point of being fully funded. After this point, no more contributions (employer deductions) are...

According to a study done by researchers at Georgetown University, recent college graduates who majored in architecture have the highest unemployment rate, at 13.9%. Arts majors are next, with an...

Exercise 18 suggested that one in four new restaurants close or change ownership within their frst year of business, and that over three years, that number rises to three in five. You randomly select...

Exercise 19 dealt with a study indicating that the commercial success rate for wells drilled with 3-D seismic data is 70%. You randomly select 30 drilling sites that are using this kind of data....

As the director of capital budgeting for Denver Corporation, you areevaluating two mutually exclusive projects with the follo ShannonIndustries is considering a project which has the following cash...

Balance Sheet The assets of Dallas & Associates consist entirely of current assets and net plant and equipment. The firm has total assets of $3 million and net plant and equipment equals $2.5...

The following assumptions are used to determine the cost of capital. Historically, the company tried to maintain a debt to equity ratio equal to 0.40. This ratio was used because lowering the debt...