A sample of 36 observations is selected from a normal population. The sample mea

Question

A sample of 36 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level. Ho. 20 H1 : > 20 a. Is this a one- or two-tailed test? "One-tailed -the alternate hypothesis is greater than direction "Two-tailed"-the alternate hypothesis is different from direction. ( b. What is the decision rule? (Round your answer to 2 decimal places.) | Howhenz > 1645 c. What is the value of the test statistic? (Round your answer to 2 decimal places.) Value of the test statistic12 d. What is your decision regarding Ho? O Do not reject O Reject There is (Clic to select) evidence to conclude that the population mean is greater than 20 e. What is the p-value? (Round your answer to 4 decimal places.) p-value 1151

Explanation / Answer

One-Sample Z

Test of = 20 vs > 20
The assumed standard deviation = 5

N Mean SE Mean 95% Lower Bound Z P
36 21.000 0.833 19.629 1.20 0.115

here z=1.2 < zcriticl=1.645 so we do not reject null hypothesis.

p-value =0.115

hope this will be helpful. thanks and god bless you :)

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