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For a hypothesis test of a single population mean with unknown population standard deviation (σσ), we can use either Geogebra or Minitab. In Geogebra: use the “Statistics” tab in the Probability Calculator. Click the drop-down menu near the top (default is “Z Test of a Mean”) and choose “T Test of a Mean.” In Minitab: Select Stat > Basic Statistics > 1 sample t. Select Summarized Data from the drop-down menu. Check mark “Perform Hypothesis Test” and enter the hypothesized value. Click Options and select the appropriate alternate hypothesis. For both: Enter the sample mean, sample standard deviation, and sample size. We’ll use a sample with x¯=73.2, s=14.16, n=16. For a hypothesis test of H0:μ=70 versus HA:μ >70 The given sample has a test statistic of  The P-value for the test is   For a hypothesis test of H0:μ=75 versus HA:μ<75H0:μ=75 versus HA:μ<75: The given sample has a test statistic of    The P-value for the test is    For a hypothesis test of H0:μ=75 versus HA:μ≠75: The given sample has a test statistic of  The P-value for the test is

For a hypothesis test of a single population mean with unknown population standard deviation (σσ), we can use either Geogebra or Minitab. In Geogebra: use the “Statistics” tab in the Probability Calculator. Click the drop-down menu near the top (default is “Z Test of a Mean”) and choose “T Test of a Mean.” In Minitab: Select Stat > Basic Statistics > 1 sample t. Select Summarized Data from the drop-down menu. Check mark “Perform Hypothesis Test” and enter the hypothesized value. Click Options and select the appropriate alternate hypothesis. For both: Enter the sample mean, sample standard deviation, and sample size. We’ll use a sample with x¯=73.2, s=14.16, n=16. For a hypothesis test of H0:μ=70 versus HA:μ >70 The given sample has a test statistic of  The P-value for the test is   For a hypothesis test of H0:μ=75 versus HA:μ<75H0:μ=75 versus HA:μ<75: The given sample has a test statistic of    The P-value for the test is    For a hypothesis test of H0:μ=75 versus HA:μ≠75: The given sample has a test statistic of  The P-value for the test is

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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For a hypothesis test of a single population mean with unknown population standard deviation (σσ), we can use either Geogebra or Minitab.

In Geogebra: use the “Statistics” tab in the Probability Calculator. Click the drop-down menu near the top (default is “Z Test of a Mean”) and choose “T Test of a Mean.”

In Minitab: Select Stat > Basic Statistics > 1 sample t. Select Summarized Data from the drop-down menu. Check mark “Perform Hypothesis Test” and enter the hypothesized value. Click Options and select the appropriate alternate hypothesis.

For both: Enter the sample mean, sample standard deviation, and sample size. We’ll use a sample with x¯=73.2, s=14.16, n=16.

For a hypothesis test of H0:μ=70 versus HA:μ >70

  • The given sample has a test statistic of 
  • The P-value for the test is
     

For a hypothesis test of H0:μ=75 versus HA:μ<75H0:μ=75 versus HA:μ<75:

  • The given sample has a test statistic of 
     
  • The P-value for the test is 
     

For a hypothesis test of H0:μ=75 versus HA:μ≠75:

  • The given sample has a test statistic of 
  • The P-value for the test is 
     
     .
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