A consumer-testing agency wants to evaluate the claim made by a manufacturer of discount tires. The manufacturer claims that its tires can be driven at least 35,000 miles before wearing out. To determine the average number of miles that can be obtained from the manufacturer’s tires, the agency randomly selects 60 tires from the manufacturer’s warehouse and places the tires on 15 cars driven by test drivers on a 2-mile oval track. The number of miles driven (in thousands of miles) until the tires are determined to be worn out is given in the following table. Car Miles Driven 1 25 2 27 3 35 4 42 5 28 6 37 7 40 8 31 9 29 10 33 11 30 12 26 13 31 14 28 15 30 Average 31.47 Standard 5.04 Agency would like to know if the manufacturer’s claim is false. Carryout an appropriate hypothesis test (use 1% significance level). Check any assumptions you think are relevant before doing the text.
A consumer-testing agency wants to evaluate the claim made by a manufacturer of discount tires. The manufacturer claims that its tires can be driven at least 35,000 miles before wearing out. To determine the average number of miles that can be obtained from the manufacturer’s tires, the agency randomly selects 60 tires from the manufacturer’s warehouse and places the tires on 15 cars driven by test drivers on a 2-mile oval track. The number of miles driven (in thousands of miles) until the tires are determined to be worn out is given in the following table.
|
Car |
Miles Driven |
|
1 |
25 |
|
2 |
27 |
|
3 |
35 |
|
4 |
42 |
|
5 |
28 |
|
6 |
37 |
|
7 |
40 |
|
8 |
31 |
|
9 |
29 |
|
10 |
33 |
|
11 |
30 |
|
12 |
26 |
|
13 |
31 |
|
14 |
28 |
|
15 |
30 |
| Average |
31.47 |
| Standard |
5.04 |
Agency would like to know if the manufacturer’s claim is false. Carryout an appropriate hypothesis test (use 1% significance level). Check any assumptions you think are relevant before doing the text.
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