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2. Mr. Bates wants to compare the midterm scores of his students who took the course during the fall semester versus the spring semester. Here is the data: Fall 89 86 64 91 92 94 87 83 86 90 74 59 87 97 87 Spring 76 70 82 94 76 66 72 51 75 97 74 81 85 96 74 Can he say that his fall students scored better than his spring students? (Use a = .10) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:

2. Mr. Bates wants to compare the midterm scores of his students who took the course during the fall semester versus the spring semester. Here is the data: Fall 89 86 64 91 92 94 87 83 86 90 74 59 87 97 87 Spring 76 70 82 94 76 66 72 51 75 97 74 81 85 96 74 Can he say that his fall students scored better than his spring students? (Use a = .10) Type of Test: Null Hypothesis: Alternate Hypothesis: SE: Test Statistic: P-value: Decision: Sentence:

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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Please answer sub-parts 4-8
### Statistical Hypothesis Testing: Midterm Score Comparison #### Problem Statement Mr. Bates wants to compare the midterm scores of his students who took the course during the fall semester versus the spring semester. Here is the data: - **Fall Scores:** 89, 86, 64, 91, 92, 94, 87, 83, 86, 90, 74, 59, 87, 97, 87 - **Spring Scores:** 76, 70, 82, 94, 76, 66, 72, 51, 75, 97, 74, 81, 85, 96, 74 **Question:** Can he say that his fall students scored better than his spring students? (Use α = 0.10) #### Steps to Analyze: 1. **Type of Test:** Specify the appropriate statistical test to compare the means of two independent samples. 2. **Null Hypothesis (H0):** State the null hypothesis. 3. **Alternate Hypothesis (H1):** State the alternative hypothesis. 4. **SE (Standard Error):** Calculate the standard error for the difference in means. 5. **Test Statistic:** Compute the test statistic (e.g., t-statistic) using the sample data. 6. **P-value:** Determine the p-value associated with the test statistic. 7. **Decision:** Make a decision based on the p-value and the level of significance (α = 0.10). 8. **Sentence:** Formulate a conclusion based on the statistical analysis. #### Template for the Analysis - **Type of Test:** - Two-Sample t-test (assuming equal or unequal variances based on data properties). - **Null Hypothesis (H0):** - The mean midterm score of fall students is equal to the mean midterm score of spring students. - **Alternate Hypothesis (H1):** - The mean midterm score of fall students is greater than the mean midterm score of spring students. - **SE (Standard Error):** - Calculation involves determining the standard deviation and sample sizes for both groups. - **Test Statistic:** - Use the formula for the two-sample t-test statistic. - **P-value:** - Lookup or calculate the p-value corresponding to the computed test statistic. - **Decision:** - If p-value
Transcribed Image Text:### Statistical Hypothesis Testing: Midterm Score Comparison #### Problem Statement Mr. Bates wants to compare the midterm scores of his students who took the course during the fall semester versus the spring semester. Here is the data: - **Fall Scores:** 89, 86, 64, 91, 92, 94, 87, 83, 86, 90, 74, 59, 87, 97, 87 - **Spring Scores:** 76, 70, 82, 94, 76, 66, 72, 51, 75, 97, 74, 81, 85, 96, 74 **Question:** Can he say that his fall students scored better than his spring students? (Use α = 0.10) #### Steps to Analyze: 1. **Type of Test:** Specify the appropriate statistical test to compare the means of two independent samples. 2. **Null Hypothesis (H0):** State the null hypothesis. 3. **Alternate Hypothesis (H1):** State the alternative hypothesis. 4. **SE (Standard Error):** Calculate the standard error for the difference in means. 5. **Test Statistic:** Compute the test statistic (e.g., t-statistic) using the sample data. 6. **P-value:** Determine the p-value associated with the test statistic. 7. **Decision:** Make a decision based on the p-value and the level of significance (α = 0.10). 8. **Sentence:** Formulate a conclusion based on the statistical analysis. #### Template for the Analysis - **Type of Test:** - Two-Sample t-test (assuming equal or unequal variances based on data properties). - **Null Hypothesis (H0):** - The mean midterm score of fall students is equal to the mean midterm score of spring students. - **Alternate Hypothesis (H1):** - The mean midterm score of fall students is greater than the mean midterm score of spring students. - **SE (Standard Error):** - Calculation involves determining the standard deviation and sample sizes for both groups. - **Test Statistic:** - Use the formula for the two-sample t-test statistic. - **P-value:** - Lookup or calculate the p-value corresponding to the computed test statistic. - **Decision:** - If p-value
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