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Do college students enjoy playing sports just as much as watching sports? A researcher randomly selected ten college students and asked them to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown below. Playing Vs. Watching Sports Play 9 4 8 4 4 6 9 2 9 Watch 6 6 6 1 1 5 2 8 1 10 Assume a Normal distribution. What can be concluded at the the a = 0.10 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Но: Select an answer ? Select an answer O (please enter a decimal) Н: Select an answer Select an answer O (Please enter a decimal) ? b. The test statistic ? (please show your answer to 3 decimal places.) %3D c. The p-value = d. The p-value is ? O a (Please show your answer to 4 decimal places.) e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the ten students that were surveyed rated playing sports the same as watching sports on average. The results are statistically insignificant at a = 0.10, so there is statistically significant evidence to conclude that the population mean rating for playing sports is equal to the population mean rating for watching sports. The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean rating for playing sports is not the same as the population mean rating for watching sports. The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean rating for playing sports is not the same as the population mean rating for

Do college students enjoy playing sports just as much as watching sports? A researcher randomly selected ten college students and asked them to rate playing sports and watching sports on a scale from 1 to 10 with 1 meaning they have no interest and 10 meaning they absolutely love it. The results of the study are shown below. Playing Vs. Watching Sports Play 9 4 8 4 4 6 9 2 9 Watch 6 6 6 1 1 5 2 8 1 10 Assume a Normal distribution. What can be concluded at the the a = 0.10 level of significance level of significance? For this study, we should use Select an answer a. The null and alternative hypotheses would be: Но: Select an answer ? Select an answer O (please enter a decimal) Н: Select an answer Select an answer O (Please enter a decimal) ? b. The test statistic ? (please show your answer to 3 decimal places.) %3D c. The p-value = d. The p-value is ? O a (Please show your answer to 4 decimal places.) e. Based on this, we should Select an answer the null hypothesis. f. Thus, the final conclusion is that ... The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the ten students that were surveyed rated playing sports the same as watching sports on average. The results are statistically insignificant at a = 0.10, so there is statistically significant evidence to conclude that the population mean rating for playing sports is equal to the population mean rating for watching sports. The results are statistically insignificant at a = 0.10, so there is insufficient evidence to conclude that the population mean rating for playing sports is not the same as the population mean rating for watching sports. The results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean rating for playing sports is not the same as the population mean rating for

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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The study investigates whether college students enjoy playing sports as much as watching sports. A sample of ten college students rated their enjoyment on a scale from 1 to 10, where 1 indicates no interest and 10 indicates they absolutely love it. The results are depicted in the table below: | Playing Vs. Watching Sports | |-----------------------------| | **Play**: 9, 4, 8, 4, 4, 6, 4, 9, 2, 9 | | **Watch**: 6, 6, 6, 1, 1, 5, 2, 8, 1, 10 | The study assumes a Normal distribution and aims to conclude at a significance level of \( \alpha = 0.10 \). ### Hypothesis Testing: - **Null Hypothesis (\(H_0\))**: The population mean rating for playing sports is equal to the population mean rating for watching sports. - **Alternative Hypothesis (\(H_1\))**: The population mean rating for playing sports is not equal to the population mean rating for watching sports. ### Statistical Analysis: 1. **Test Statistic**: Insert the calculated test statistic value. 2. **P-value**: Insert the calculated p-value. 3. **Comparison of P-value and Alpha**: Determine if the p-value is less than or equal to \( \alpha \). ### Conclusion: - If the results are statistically significant (\( \alpha = 0.10 \)), there is sufficient evidence to conclude about the mean ratings between playing and watching sports. - If the results are statistically insignificant, there is insufficient evidence to draw such conclusions. Based on the analysis, select the appropriate conclusion regarding the ratings for playing and watching sports among the surveyed students.
Transcribed Image Text:The study investigates whether college students enjoy playing sports as much as watching sports. A sample of ten college students rated their enjoyment on a scale from 1 to 10, where 1 indicates no interest and 10 indicates they absolutely love it. The results are depicted in the table below: | Playing Vs. Watching Sports | |-----------------------------| | **Play**: 9, 4, 8, 4, 4, 6, 4, 9, 2, 9 | | **Watch**: 6, 6, 6, 1, 1, 5, 2, 8, 1, 10 | The study assumes a Normal distribution and aims to conclude at a significance level of \( \alpha = 0.10 \). ### Hypothesis Testing: - **Null Hypothesis (\(H_0\))**: The population mean rating for playing sports is equal to the population mean rating for watching sports. - **Alternative Hypothesis (\(H_1\))**: The population mean rating for playing sports is not equal to the population mean rating for watching sports. ### Statistical Analysis: 1. **Test Statistic**: Insert the calculated test statistic value. 2. **P-value**: Insert the calculated p-value. 3. **Comparison of P-value and Alpha**: Determine if the p-value is less than or equal to \( \alpha \). ### Conclusion: - If the results are statistically significant (\( \alpha = 0.10 \)), there is sufficient evidence to conclude about the mean ratings between playing and watching sports. - If the results are statistically insignificant, there is insufficient evidence to draw such conclusions. Based on the analysis, select the appropriate conclusion regarding the ratings for playing and watching sports among the surveyed students.
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