i. If find the area between.

ii. Assuming the normality of the data, test the hypothesis that at 5% level of significance. Also interpret the result. If the following information is known: , and .

iii. The Sampling distribution of sample mean is given below by using the following information., , sample drawn = simple random sampling with replacement. 4 5 6 7 8 1/16 4/16 6/16 4/16 1/16 4/16 20/16 36/16 28/16 8/16 16/16 100/16 216/16 196/16 64/16

a) Hence verify the relationship between b) Following information's is given:, , and. Assuming the normality, construct a 99% two sided confidence interval for population mean. Also interpret the result.