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

-2.667

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)

.0038
 
  • Student: Not Provided
  • Textbook: Statistical, Techniques in Business & Economics
  • Course: QNT 351
 
 

Your browser is out of date. It has security vulnerabilities and may not display all features on this site and other sites.

Please update your browser using one of modern browsers (Google Chrome, Opera, Firefox, IE 10).

X