Question

2.A tire manufacturer claims that the lifetime of its tires are normally distributed with a mean of
m = 34,000 miles and a standard deviation of σ = 1200 miles.

A trucking firm using these tires suspects that the mean lifetime is less than 34,000 miles.
To test the claim, the firm randomly selects and tests 54 of these tires and gets a mean lifetime of 33,390 miles.

Use a significance level of a = 0.05 to test the trucking firm's claim. Show all 7 steps for p-value method.

SHOW ALL THE WORK AS IT IS ASKED FOR.

Answer 1

suspects : 4 <34 000 6 = 1200 n=54 5C = 33390 2-0,05 Hypothesis. Ho:4=34000 Ha: 4234000 Test Steatistics, 2. oc-4 oyun = 33390-34000 1200 1 US4 =-3.7355 Pucive = P(22-3.7355) 0.00009 here Puaine significance level .. deged Ho. : we have enough evidence to conclude that meam lifetime is less than 34000 miles.