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 fty objects and found that standard deviation is 1.8 cm. (a) For What values of the sample mean (X), would the null hypothesis Ho be rejected? (Use CL = 0.01). Hint: Find the rejection region. (4 marks) (b) If the sample mean is 9.5 cm, can it be concluded that the mean length is less than 10 cm? Test at or = 0.01 using p-Value method AND traditional method. ( 12 marks)