Suppose that on a 100-point test, the teacher's goal is for her students' exam scores to have a standard deviation of less than 11 points. A recent sample of 22 exams has a sample standard deviation of 12.3. Test whether or not her goal was achieved using a 10% level of significance. Calculate the appropriate test statistic (round to 2 decimal places as needed)   Determine the appropriate critical value (round to 3 decimal places as needed)    Which of the following is your conclusion based on the information above:   Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points. Do not reject the null hypothesis. There is insufficient evidence to conclude that the students' exam scores have a standard deviation greater than 11 points. Do not reject the null hypothesis. There is insufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points. Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation greater than 11 points. Reject the null hypothesis. There is insufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points. Do not reject the null hypothesis. There is

MATLAB: An Introduction with Applications
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Chapter1: Starting With Matlab
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Suppose that on a 100-point test, the teacher's goal is for her students' exam scores to have a standard deviation of less than 11 points. A recent sample of 22 exams has a sample standard deviation of 12.3. Test whether or not her goal was achieved using a 10% level of significance.

Calculate the appropriate test statistic (round to 2 decimal places as needed)

 

Determine the appropriate critical value (round to 3 decimal places as needed) 

 

Which of the following is your conclusion based on the information above:

 

  • Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points.
  • Do not reject the null hypothesis. There is insufficient evidence to conclude that the students' exam scores have a standard deviation greater than 11 points.
  • Do not reject the null hypothesis. There is insufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points.
  • Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation greater than 11 points.
  • Reject the null hypothesis. There is insufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points.
  • Do not reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points.

 

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