Rejection of the null hypothesis

Reference no: EM131137812

A city police department is considering replacing the tires on its cars with a new brand tires. If μ₁ is the average number of miles that the old tires last and μ₂ is the average number of miles that the new tires will last, the null hypothesis to be tested is μ₁ = μ₂.

(a) What alternative hypothesis should the department use if it does not want to use the new tires unless they are definitely proved to give better mileage? In other words, the burden of proof is put on the new tires, and the old tires are to be kept unless the null hypothesis can be rejected.

(b) What alternative hypothesis should the department use if it is anxious to get the new tires unless they actually give poorer mileage than the old tires? Note that now the burden of proof is on the old tires, which will be kept only if the null hypothesis can be rejected.

(c) What alternative hypothesis should the department use so that rejection of the null hypothesis can lead either to keeping the old tires or to buying the new ones?

Reference no: EM131137812

Questions Cloud

Show the content of the fields of the first 8 bytes : Show the content of the fields of the first 8 bytes of each IP packet received at the destination

The effectiveness of a modification in chemical composition : The average drying time of a manufacturer's paint is 20 minutes. Investigating the effectiveness of a modification in the chemical composition of her paint, the manufacturer wants to test the null hypothesis μ = 20 minutes against a suitable alte..

Calculate the cost of goods sold under variable costing : During the most recent year, Osterman Company had the following data: Calculate the cost of goods sold under variable costing

Briefly state what each method does at a high level : Briefly state what each method does at a high level. Assume that a reference to the head node containing data - recursive methods does on a chain of nodes.

Rejection of the null hypothesis : (a) What alternative hypothesis should the department use if it does not want to use the new tires unless they are definitely proved to give better mileage? In other words, the burden of proof is put on the new tires, and the old tires are to be k..

Correlation regression and multiple regression analysis : What is the purpose of using correlation, regression and multiple regression analysis? How may these techniques be used in business decisions or in relation to strategy formulation and implementation? Please provide examples to show your reasoning.

Select an article and write a one full page summary : Select an article and write a one full page summary of the article and how it relates to macroeconomics.

Write a program that will check a sequence : Using the dictionary of four letter words write a program that will check a sequence of 4 characters entered from the keyboard to determine if it is a word.

Prepare a schedule of expected cash collections for april : The president of the retailer Prime Products has just approached the company's bank with a request for a $30,000, 90-day loan. Prepare a schedule of expected cash collections for April, May, and June, and for the three months in total

User Account

All Pages