SOLUTION: 5. chap 10 The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. The standard

Question 635668: 5. chap 10 The manufacturer of the X-15 steel-belted radial truck tire claims that the mean mileage the tire can be driven before the tread wears out is 60,000 miles. The standard deviation of the mileage is 5,000 miles. The Crosset Truck Company bought 48 tires and found that the mean mileage for their trucks is 59,500 miles. Is Crosset's experience different from that claimed by the manufacturer at the .05 significance level?
6. chap 10 The MacBurger restaurant chain claims that the waiting time of customers for service is normally distributed, with a mean of 3 minutes and a standard deviation of 1 minute. The quality-assurance department found in a sample of 50 customers at the Warren Road MacBurger that the mean waiting time was 2.75 minutes. At the .05 significance level, can we conclude that the mean waiting time is less than 3 minutes?

Answer by reviewermath(1029) (Show Source): You can put this solution on YOUR website!
5. chap 10
Null Hypothesis,: � = 60000 (Claim)
Alternative Hypothesis, : � ≠ 60000
z Test
Test Statistic, z: -0.6928
Critical z: �1.96
P-Value: 0.4884
Fail to Reject the Null Hypothesis because the p-value is greater than α = 0.05.
Sample does not provide enough evidence to reject the claim that the mean mileage the tire can be driven before the tread wears out is 60,000 miles.

6. chap 10
Null Hypothesis,: � = 3
Alternative Hypothesis, : � < 3
z Test
Test Statistic, z: -1.7678
Critical z: -1.6449
P-Value: 0.0385
Reject the Null Hypothesis because the p-value is less than α = 0.05.
Sample provides evidence to support the claim that the mean waiting time is less than 3 minutes.

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