Hypothesis Test H0 : μ ≥ 220 – Solve Test Statistic and p-Value

The following information is available.

  • H0 : μ ≥ 220
  • H1 : μ < 220

A sample of 64 observations is selected from a normal population. The sample mean is 215, and the population standard deviation is 15. Conduct the following test of hypothesis using the .025 significance level.

Is this a one- or two-tailed test?

We are only testing that the mean is less than 220, therefore this is a one-tailed test.

One-tailed test

What is the decision rule?

Reject H0  if z > -1.96

What is the value of the test statistic?

Use the formulas in the photo below to solve for the test statistic in this problem

solving for test statistic and p value in excel

Solve for the test statistic and p value in excel


What is your decision regarding H0?

Reject H0

What is the p-value?

Find the p-value in excel using the following formula: =NORM.DIST(test_statistic_value,0,1,TRUE)

  • Student: Not Provided
  • Textbook: Statistical, Techniques in Business & Economics
  • Course: QNT 351

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