# A sample of 31 observations is selected from a normal populaticon. The sample mean is 11, and the population standard deviation is 3.Conduct the following test of hypothesis using the 0.05 significance level.Hus 10H>10a. Is this a one- or two-tailed test?o One-tailed testO Two-tailed testb. What is the decision rule?O Reject H when z> 1.645when 2s 1645Rejectc. What is the value of the test statistic? (Round your answer to 2 decimal places.)Value of the test statistic2 of 10Next>2 of 10KPrev

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I would like the solutions for each part of the problem help_outlineImage TranscriptioncloseA sample of 31 observations is selected from a normal populaticon. The sample mean is 11, and the population standard deviation is 3. Conduct the following test of hypothesis using the 0.05 significance level. Hus 10 H>10 a. Is this a one- or two-tailed test? o One-tailed test O Two-tailed test b. What is the decision rule? O Reject H when z> 1.645 when 2s 1645 Reject c. What is the value of the test statistic? (Round your answer to 2 decimal places.) Value of the test statistic 2 of 10 Next> help_outlineImage Transcriptionclosed. What is your decision regarding H? O Reject Ho O Fail to reject Ha -1. What is the pvalue? (Round your answer to 4 declmal places.) pvallue 2. Interpret the p-value? (Round your final enswer to 2 decimal places.) There is a Be chance of fincling a z velue this large by sompling error when H0 s true. Next> 2 of 10 KPrev fullscreen
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Step 1

Given:

The provided sample mean is  = 11 and the known population standard deviation is σ = 3, and the sample size is n = 31.

The following null and alternative hypotheses need to be tested:

Step 2

a) This corresponds to a one-tailed test, for which a z-test for one mean, with known population standard deviation and n>30 will be used.

b)

Decision rule:

Reject H0, if z>1.645

Step 3

c)

Test statist...

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### Hypothesis Testing 