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
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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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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