• Objective:
• Test a claim about a population mean based on a sample.

Project:Use a 0.05 level of significance, to identify which automobile tire manufacturer should be awarded the New Jersey State Police tire contract. The New Jersey State Police Department is interested intires for its squad cars. These tires must satisfy thespecification that the average (Mean) life of the tire must be at least 80,000 miles and the standard deviation must be at most 200 miles.

Six different tire makers, Tire₁, Tire₂, Tire_3,Tire₄, Tire_5,and Tire₆, sent the automaker several tires to be tested. (The identities of the tire manufacturers remain anonymous to guarantee a non-prejudicial test.) The tires were placed on the drive wheels of various squad cars and driven until the tires were worn down. The following data shows the mileage the tires traveled before they had to be replaced.

Data (Tire size, price),miles

Tire₁( $78.99): 79,92080,10079,80079,600

Tire₂( $82.95):79,90080,10080,20079,95079,97580,000

Tire₃( $86.99): 79,95080,25079,97580,30079,99080,15080,22579,900

Tire₄( $92.99):78,60079,70079,65080,750

Tire₅( $96.95): 77,48080,30076,48076,79078,99080,061

Tire₆( $104.99): 79,12581,25078,97581,20080,99081,00080,22580,600

As the consultant to the New Jersey State Police, determine which tire manufacturer, if any, gets the contract. Report (type preferred) stating your recommendation for the awarding of this lucrative contract. Your report must contain the following points:

I. Hypothesis testing(Show all steps for each hypothesis test):

A.Use single sample hypothesis testing, following the format presented inthe lessons, test the mean specificationfor each supplier.

B.Test the standard deviation specification on only those tires that satisfythe meanspecification.

II. Awarding the contract:

The lucrative tire contract will be awarded to the tire manufacturer that satisfies bothspecifications and has the most inexpensive tire. If none of the tire manufacturers satisfyboth specifications, then no contract is awarded and the bidding is reopened.Based onyour statistical analysis, which tire manufacturer, if any, is awarded the contract or is the bidding reopened?