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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: O 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. O Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation greater than 11 points. O Reject the null hypothesis. There is insufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points. O 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. O 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. O Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points.

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: O 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. O Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation greater than 11 points. O Reject the null hypothesis. There is insufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points. O 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. O 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. O Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points.

MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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**Instructions for Hypothesis Testing on Standard Deviation** **Scenario** Suppose that on a 100-point test, a 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. You are tasked with testing whether or not her goal was achieved using a 10% level of significance. **Steps for Hypothesis Testing** 1. **Calculate the Appropriate Test Statistic** - You will need to calculate the test statistic using the sample standard deviation, sample size, and the hypothesized standard deviation. - Enter the calculated test statistic (round to 2 decimal places) into the provided box. 2. **Determine the Appropriate Critical Value** - Use a chi-square distribution table or a statistical software to find the critical value for the specified confidence level and degrees of freedom (n-1). - Enter this critical value (round to 3 decimal places) into the provided box. **Conclusion Choices:** - **Option A:** - 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. - **Option B:** - Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation greater than 11 points. - **Option C:** - Reject the null hypothesis. There is insufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points. - **Option D:** - 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. - **Option E:** - 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. - **Option F:** - Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points. Choose the appropriate conclusion based on your calculations and analysis of the data.
Transcribed Image Text:**Instructions for Hypothesis Testing on Standard Deviation** **Scenario** Suppose that on a 100-point test, a 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. You are tasked with testing whether or not her goal was achieved using a 10% level of significance. **Steps for Hypothesis Testing** 1. **Calculate the Appropriate Test Statistic** - You will need to calculate the test statistic using the sample standard deviation, sample size, and the hypothesized standard deviation. - Enter the calculated test statistic (round to 2 decimal places) into the provided box. 2. **Determine the Appropriate Critical Value** - Use a chi-square distribution table or a statistical software to find the critical value for the specified confidence level and degrees of freedom (n-1). - Enter this critical value (round to 3 decimal places) into the provided box. **Conclusion Choices:** - **Option A:** - 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. - **Option B:** - Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation greater than 11 points. - **Option C:** - Reject the null hypothesis. There is insufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points. - **Option D:** - 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. - **Option E:** - 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. - **Option F:** - Reject the null hypothesis. There is sufficient evidence to conclude that the students' exam scores have a standard deviation less than 11 points. Choose the appropriate conclusion based on your calculations and analysis of the data.
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