Question

A sample of 48 observations is selected from a normal population. The sample mean is 57, and the population standard deviation is 6 Conduct the following test of hypothesis using the 0.01 significance level. Ho: H58 H1: H58 a. Is this a one- or two-tailed test? O One-tailed test O Two-tailed test b. What is the decision rule? Reject Ho if -2.576 < z < 2.576 Reject Ho if z<-2.576 or z> 2.576 c. What is the value of the test statistic? (Negative amount should be indicated by a minus sign. Round your answer to 2 decimal places.) Value of the test statistic

Answer 1

Soution- given that * Sample 0) 747 * mean N = 57 # SO = 6 * Significance level = 0.01 toi 4-58 Hi: M & 58 (a) we find this test This test is two tail test (b) we find decision rule 2001 :: 222 =+25476 so decision nue Reject Ho if z<-2.576 or 232.576 (0) we find Z test statistic - -4 - allñ. - 57-58 - 6 (ปเร = -IGUES 3-1616.93 . (d) o file Test Statistics -11547 4.54 we find decision regarding to . The test statistic value does not dejection so fail to reject to. fall in the

iwe find p value two tailed test Z = -1.15 - P = 0.2501439 cao.2501 from 2 table