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A sample of 40 observations results in a sample mean of 436. The population standard deviation...

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Statistics

A sample of 40 observations results in a sample mean of 436. Thepopulation standard deviation is known to be 121.

  1. Construct a 95% confidence interval for the populationmean.
  2. Does the sample evidence enable to conclude that the populationmean is greater than 400 with the 5% significance level? Conductthe test based on the critical value approach.
  3. Does the sample evidence enable to conclude that the populationmean is greater than 400 with the 5% significance level? Conductthe test based on the p-value approach.
  4. Does the sample evidence enable to conclude that the populationmean is greater than 400 with the 10% significance level? Conductthe test based on the p-value approach.
  5. Does the sample evidence enable to conclude that the populationmean is different from 400 with the 5% significance level? Conductthe test based on the p-value approach.

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