Conduct a test of a hypothesis about a population mean

8/22/2016 Check Your Work

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Given the following hypotheses:   H0 : μ ≤ 10 H1 : μ > 10   A random sample of 10 observations is selected from a normal population. The sample mean was 12 and the sample standard deviation 3. Using the .05 significance level:   a. State the decision rule. (Round your answer to 3 decimal places.)  

  Reject H0 if t >      b. Compute the value of the test statistic. (Round your answer to 3 decimal places.)  

  Value of the test statistic 3.333        c. What is your decision regarding the null hypothesis?  

  Reject    H0. There is  sufficient    evidence to conclude that the population mean is greater than 10.  

 

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