Conduct a test of a hypothesis about a population mean

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Given the following hypotheses:   H0 : μ = 400   H1 : μ ≠ 400   A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:   a. State the decision rule. (Negative amount should be indicated by a minus sign. Round your

answers to 3 decimal places.)  

  Reject H0 when the test statistic is  outside    the interval ( 394   ,   406   ).

  b. Compute the value of the test statistic. (Round your answer to 3 decimal places.)  

  Value of the test statistic 7.00        c. What is your decision regarding the null hypothesis?    

  Do not reject Reject

 

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