in steps 2 and 3.) State which tire is a The lucrative tire contra satisfies both specification As the consultant to the Illinois State Police Department, determine which tire manufacturer, if any, gets the contract. Perform the necessary hypothesis tests and make your decision. the tire manufact awarded a 1.) Perform a Hypothesis test for the first specification, test the claim that the mean life span of the tire should be at least 80,000 miles, use a = 0.05. Show the 4 steps for each hypothesis test (in part 1 you are doing 4 different TTest): Step 1: write out Ho and Ha as mathematical statements using the correct symbol for the population parameter you are testing, indicate where the claim is. Step 2: Perform the TTest using your calculator and get the p-value, write the p-value. Step 3: Make the appropriate decision to reject or fail to reject H, indicate why you made this decision. Step 4: State the conclusion about the claim for this hypothesis test based on steps 2 and 3. The conclusion should is not if you rejected or failed to reject Ho. 2.) Test the standard deviation specification on only those tires that satisfy the mean specification. Test the claim that the standard deviation must be at most 200 miles (do this only for tires that you verified have a mean life of at least 80,000 miles). Use the critical value method. Show the 4 steps for each hypothesis test, use a = 0.05 Step1: write out Ho and Ha as mathematical statements using the correct symbol for the population parameter you are testing, indicate where the claim is. Step2: Calculate the test statistic x2 =(n-1)$2 Step3: Look up the critical value in the Chi-Square table that corresponds to d.f. (degrees of freedom, n-1 and a = 0.05 in the appropriate tail). Compare the critical value to the test statistic and make the appropriate decision to reject or fail to reject H, indicate why you made this decision. Step4: State the conclusion about the claim for this hypothesis test basedPROJECT u Tires: Hypothesis for mean and standard deviation Objective: Test a claim about a population recon rind stander-(1'(fer-Ilene\". based on or sample. Project: Use- a 0.0:") level of significance, to identify which automohile tire manufacturer should be awarded the Illinois State Police tire contract. The Illinois State Police Department is interested in tires for its squad cars. These tires must. satisfy the specication that the average (Mean) life of the tire must he at least 80,000 miles and the standard deviation must he at most 200 miles. Four different tire makers, Tire], Tire2, Tire3, and Tire4 sent the automaker several tires to be tested. (The identities of the tire manufacturers remain anonymous to guarantee a nonprejudicial 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. WM Tire] ($82.95): 79,900 80,100 80,200 79,950 79.975 80,000 Tire2($72.9.9): 78,600 79,700 79,650 80,750 Tire3($86.99): 79,950 80,250 79,975 80,300 79,990 80,150 80,225 79,900 Tire4($96..95): 77,480 80,300 76,480 76,790 78,990 80,061 "'6 5% n Steps 2 and 3, The conclusion is not if you rejected or failed to reject 1 H0. 3.) State which tire is awarded the contract: The lucrative tire contract will be awarded to the tire manufacturer that satisfies both specifications and has the most inexpensive tire. If none of the tire manufacturers satisfy both specifications, then no contract is awarded and the bidding is reopened. Based on your statistical analysis, which tire manufacturer, if any, is awarded the contract or is the bidding reopened? \"ES/mama