For a hypothesis test of a single population mean with unknown population standard deviation (σ�), 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�¯=73.2, s=14.16�=14.16, n=16�=16.       For a hypothesis test of H0:μ=70 versus HA:μ>70�0:�=70 versus ��:�>70: The given sample has a test statistic of  equation editor Equation Editor  . The P-value for the test is  equation editor Equation Editor  .       For a hypothesis test of H0:μ=75 versus HA:μ<75�0:�=75 versus ��:�<75: The given sample has a test statistic of  equation editor Equation Editor  . The P-value for the test is  equation editor Equation Editor  .       For a hypothesis test of H0:μ=75 versus HA:μ≠75�0:�=75 versus ��:�≠75: The given sample has a test statistic of  equation editor Equation Editor  . The P-value for the test is  equation editor Equation Editor

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
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For a hypothesis test of a single population mean with unknown population standard deviation (σ�), 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�¯=73.2, s=14.16�=14.16, n=16�=16.

 
 
 

For a hypothesis test of H0:μ=70 versus HA:μ>70�0:�=70 versus ��:�>70:

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

For a hypothesis test of H0:μ=75 versus HA:μ<75�0:�=75 versus ��:�<75:

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

For a hypothesis test of H0:μ=75 versus HA:μ≠75�0:�=75 versus ��:�≠75:

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