Question: sample of size 100 from a normal distribution. the population standard deviation = 2. You want to test the null hypothesis H 0 : =

sample of size 100 from a normal distribution.

the population standard deviation = 2.

You want to test the null hypothesis

H0: = 3against the alternative hypothesis

H1: 3

  1. significance level of = 0.05. Determine the rejectionregion. (Find the critical value z*)
  2. 100 data points have sample mean 5. Give the Test Statistic and the p-value for this data. Should it be rejected?

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