Question

Consider the following hypotheses: H0: μ ≥ 167 HA: μ < 167 A sample of 71 observations results in a sample mean of 165. The population standard deviation is known to be 25

. a-1. Calculate the value of the test statistic

a-2. Find the p-value.

b. Does the above sample evidence enable us to reject the null hypothesis at α = 0.05?

c. Does the above sample evidence enable us to reject the null hypothesis at α = 0.01? d. Interpret the results at α = 0.01.

Answer 1

solution: Given, 8=165 5-25 n=71 Fail to Reject Ho. Their is no sufficient Evidence Zaña Fest hypothesis : Hou I 167 Hai Ma 167 ay Test Statistica - Glin 165-167 251671 = -0.6740 Z=-0.6740 P-value=0.2501 using z-table , left tail. by since, P-value is greater than oos. ie; 6.2501 >0.05. Fail to Reject Ho, Their is no sufficient Evidence. c) Here, P-value is greate theen 2=0.01 ie; 0.2501 7oool P-value d) Conclusion! 7oool fail to Reject Ho. For quere is no sufficient Eve dence to the population mean is less than 167 claim that