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are | https//newconnect.mheducati on.com/low/connect html h. 11- Homework A sample of 40 observations is selected Conduct the following test of hypothesis using the 005 significance level from a normal population. The sample mean is 31, and the population standard deviation is 3 H1: > 30 a. Is this a one- or two-tailed test? O "One-tailed" -the alternate hypothesits is greater than direction. O Two-tailed-the altemate hypothesis is different from direction b. What is the decision rule? (Round your answer to 2 decimal places) c. What is the value of the test statistic? (Round your answer to 2 decimal places.) Next search

Explanation / Answer

solutions =

a) this is a one-tailed test since H1 does not contain = sign or This is a one-tailed test, specifically an upper tail test.

b)At a 5% significance level, the critical value for a one tailed test is found from the table of z-scores to be 1.645
Reject when z > 1.645

c) test statistic =( xbar- mu)/[std/sqrt(n)]

                            (31-30)/[3/sqrt(40)]

                            = 2.11

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