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#6 A sample of 37 observations is selected from a normal population. The sample mean is...

#6

A sample of 37 observations is selected from a normal population. The sample mean is 25, and the population standard deviation is 5. Conduct the following test of hypothesis using the 0.05 significance level.

H0: μ ≤ 24

H1: μ > 24

  1. Is this a one- or two-tailed test?
  • "One-tailed"—the alternate hypothesis is greater than direction.

  • "Two-tailed"—the alternate hypothesis is different from direction.

  1. What is the decision rule? (Round your answer to 3 decimal places.)
  1. What is the value of the test statistic? (Round your answer to 2 decimal places.)
  1. What is your decision regarding H0?
  • Reject

  • Do not reject

  1. e-1. What is the p-value? (Round your answer to 4 decimal places.)
  1. e-2. Interpret the p-value? (Round your answer to 2 decimal places.)

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