A manufacturer of automobile tires claims that the average number of trouble-free miles given by one line

Question:

A manufacturer of automobile tires claims that the average number of trouble-free miles given by one line of tires made by his company is 45 000 miles. When 16 randomly picked tires were tested, the mean number of miles was 50 000 with a standard deviation of 8200miles. Assume normal distribution for the population of interest.
a) Construct a 95% confidence interval for the true mean number of trouble-free miles by this line of tires.
b) Determine from the interval whether the manufacturer’s claim is justified.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Question Posted: