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A sample of 49 observations is selected from a normal population. The sample mean is 21,...

A sample of 49 observations is selected from a normal population. The sample mean is 21, and the population standard deviation is 4. Conduct the following test of hypothesis using the 0.05 significance level.

H0: μ ≤ 20

H1: μ > 20

  1. Is this a one- or two-tailed test?
  1. What is the decision rule? (Round your answer to 2 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?
  1. What is the p-value? (Round your answer to 4 decimal places.)

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