Hypothesis Test μ = 400 – Solve Test Statistic

Given the following hypotheses:

  • H0 : μ = 400
  • H1 : μ ≠ 400

A random sample of 12 observations is selected from a normal population. The sample mean was 407 and the sample standard deviation 6. Using the .01 significance level:

Setup the problem in excel and solve for the test statistic using the formulas below:

when the mean = 400, this is how you solve for the test statistic in excel

when the mean = 400, this is how you solve for the test statistic in excel

State the decision rule

Reject H0  if t is not between -2.33 and 2.33

Compute the value of the test statistic

4.041

What is your decision regarding the null hypothesis?

Reject H0
 
  • Student: Not Provided
  • Textbook: Statistical, Techniques in Business & Economics
  • Course: QNT 351
 
 

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