Assume that z is the test statistic. (a) Ho: = 22.5, Ha: > 22.5; x = 25.8, = 7.3
ID: 3221171 • Letter: A
Question
Assume that z is the test statistic.
(a) Ho: = 22.5, Ha: > 22.5; x = 25.8, = 7.3, n = 25
(i) Calculate the test statistic z. (Give your answer correct to two decimal places.)
(ii) Calculate the p-value. (Give your answer correct to four decimal places.)
(b) Ho: = 200, Ha: < 200; x = 194.8, = 37, n = 36
(i) Calculate the test statistic z. (Give your answer correct to two decimal places.)
(ii) Calculate the p-value. (Give your answer correct to four decimal places.)
(c) Ho: = 12.4, Ha: 12.4; x = 10.4, = 3.8, n = 20
(i) Calculate the test statistic z. (Give your answer correct to two decimal places.)
(ii) Calculate the p-value. (Give your answer correct to four decimal places.)
Explanation / Answer
Solution:-
(a) Ho: = 22.5, Ha: > 22.5; x = 25.8, = 7.3, n = 25
(i) Calculate the test statistic z. (Give your answer correct to two decimal places.)
Z Test Statistics Value = (X-µ) /
Where, X = Standardized Random Variable, µ = Population Mean, = Population Standard Deviation
z = (25.8 - 22.5) / 7.3 = 0.45
(ii) Calculate the p-value. (Give your answer correct to four decimal places.)
Using, z to p calculator, value of p = 0.6527
(b) Ho: = 200, Ha: < 200; x = 194.8, = 37, n = 36
(i) Calculate the test statistic z. (Give your answer correct to two decimal places.)
z = (194.8 - 200) / 37 = -0.14
(ii) Calculate the p-value. (Give your answer correct to four decimal places.)
Using, z to p calculator, value of p = 0.5557
(c) Ho: = 12.4, Ha: > 12.4; x = 10.4, = 3.8, n = 20
(i) Calculate the test statistic z. (Give your answer correct to two decimal places.)
z = (10.4 - 12.4) / 3.8 = -0.53
(ii) Calculate the p-value. (Give your answer correct to four decimal places.)
Using z to p calculator, p = 0.7019