QUESTION 1

A researcher wanted to test the claim that the mean length of objects in the population is less than 10 cm. She selected a random sample of fifty objects and found that the standard deviation is 1.8 cm.

(a) For what values of the sample mean (), would the null hypothesis H0 be rejected? (Use = 0.01). Hint: Find the rejection region.

(b) If the sample mean is 9.5 cm, can it be concluded that the mean length is less than 10 cm? Test at = 0.01 using p-value method AND traditional method.