Do men score higher on average compared to women on their statistics finals? Final exam scores of twelve randomly selected male statistics students and ten randomly selected female statistics students are shown below. Male: 65 94 63 85 84 72 79 80 95 79 75 84 Female: 54 60 81 72 65 66 61 77 64 77 distribution. What can be concluded at the the a = 0.01 level of significance Assume both follow a Normal level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer (please enter a decimal) H₁: Select an answer Select an answer Select an answer (Please enter a decimal) b. The test statistic ? (please show your answer to 3 decimal places.) c. The p-value= (Please show your answer to 4 decimal places.) d. The p-value is ? a Select an answer the null hypothesis. e. Based on this, we should f. Thus, the final conclusion is that... The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women. The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean statistics final exam score for men is equal to the population mean statistics final exam score for women. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the mean final exam score for the twelve men that were observed is more than the mean final exam score for the ten women that were observed.
Do men score higher on average compared to women on their statistics finals? Final exam scores of twelve randomly selected male statistics students and ten randomly selected female statistics students are shown below. Male: 65 94 63 85 84 72 79 80 95 79 75 84 Female: 54 60 81 72 65 66 61 77 64 77 distribution. What can be concluded at the the a = 0.01 level of significance Assume both follow a Normal level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Ho: Select an answer Select an answer Select an answer (please enter a decimal) H₁: Select an answer Select an answer Select an answer (Please enter a decimal) b. The test statistic ? (please show your answer to 3 decimal places.) c. The p-value= (Please show your answer to 4 decimal places.) d. The p-value is ? a Select an answer the null hypothesis. e. Based on this, we should f. Thus, the final conclusion is that... The results are statistically insignificant at a = 0.01, so there is insufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women. The results are statistically insignificant at a = 0.01, so there is statistically significant evidence to conclude that the population mean statistics final exam score for men is equal to the population mean statistics final exam score for women. The results are statistically significant at a = 0.01, so there is sufficient evidence to conclude that the mean final exam score for the twelve men that were observed is more than the mean final exam score for the ten women that were observed.
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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![Title: Comparing Male and Female Statistics Final Scores
**Research Question:**
Do men score higher on average compared to women on their statistics finals? Below are the final exam scores of twelve randomly selected male statistics students and ten randomly selected female statistics students.
**Scores:**
- **Male:** 65, 94, 63, 85, 84, 72, 79, 80, 95, 79, 75, 84
- **Female:** 54, 60, 81, 72, 65, 66, 61, 77, 64, 77
**Assumption:**
Both follow a Normal distribution. We aim to conclude the comparison at the \( \alpha = 0.01 \) level of significance.
**Procedure:**
1. **Determine the statistical test:**
- For this study, we use [Select an answer].
2. **Formulate the Null and Alternative Hypotheses:**
- \( H_0 \): [Select an answer] = [Select an answer] [Select an answer] (please enter a decimal)
- \( H_1 \): [Select an answer] [Select an answer] (Please enter a decimal)
3. **Compute the test statistic (t):**
- The test statistic \( t = \) [Please show your answer to 3 decimal places].
4. **Determine the p-value:**
- The p-value = [Please show your answer to 4 decimal places].
5. **Compare the p-value to \( \alpha \):**
- \( d \). The p-value is [Select an answer] \( \alpha \).
6. **Draw a conclusion based on the comparison:**
- Based on this, we should [Select an answer] the null hypothesis.
- Thus, the final conclusion is:
- \( \circ \) The results are statistically insignificant at \( \alpha = 0.01 \), so there is insufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women.
- \( \circ \) The results are statistically significant at \( \alpha = 0.01 \), so there is sufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women.
- \( \circ \)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed8faccd-6cf6-4e70-b90c-dd265de0d7ab%2Fd1ae02e4-5ba5-4c46-8bed-af8e5c377628%2Fqog9kdd_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Title: Comparing Male and Female Statistics Final Scores
**Research Question:**
Do men score higher on average compared to women on their statistics finals? Below are the final exam scores of twelve randomly selected male statistics students and ten randomly selected female statistics students.
**Scores:**
- **Male:** 65, 94, 63, 85, 84, 72, 79, 80, 95, 79, 75, 84
- **Female:** 54, 60, 81, 72, 65, 66, 61, 77, 64, 77
**Assumption:**
Both follow a Normal distribution. We aim to conclude the comparison at the \( \alpha = 0.01 \) level of significance.
**Procedure:**
1. **Determine the statistical test:**
- For this study, we use [Select an answer].
2. **Formulate the Null and Alternative Hypotheses:**
- \( H_0 \): [Select an answer] = [Select an answer] [Select an answer] (please enter a decimal)
- \( H_1 \): [Select an answer] [Select an answer] (Please enter a decimal)
3. **Compute the test statistic (t):**
- The test statistic \( t = \) [Please show your answer to 3 decimal places].
4. **Determine the p-value:**
- The p-value = [Please show your answer to 4 decimal places].
5. **Compare the p-value to \( \alpha \):**
- \( d \). The p-value is [Select an answer] \( \alpha \).
6. **Draw a conclusion based on the comparison:**
- Based on this, we should [Select an answer] the null hypothesis.
- Thus, the final conclusion is:
- \( \circ \) The results are statistically insignificant at \( \alpha = 0.01 \), so there is insufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women.
- \( \circ \) The results are statistically significant at \( \alpha = 0.01 \), so there is sufficient evidence to conclude that the population mean statistics final exam score for men is more than the population mean statistics final exam score for women.
- \( \circ \)
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