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Social ScienceA 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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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 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> <Prev
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d. 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
Expert Answer
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:
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p=10 H 10
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
c)
Test statist...
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Test statistic is, 11-10 - 1.856 3/31
Math
Statistics
Hypothesis Testing
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