Does 10K running time decrease when the runner listens to music? Nine runners were timed as the ran a 10K with and without listening to music. The running times in minutes are shown below. Running Time With 47 37 45 42 46 43 54 45 47 Music Without 45 35 51 46 50 50 54 41 49 Music Assume a Normal distribution. What can be concluded at the the a = 0.10 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 (Please enter a decimal) Select an answer b. The test statistic ? (please show your answer to 3 decimal places.) C. The p-value = d. The p-value is (? (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 nine runners finished in less time on average with music compared to running without music. OThe results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean running time with music is less than the nonulation
Does 10K running time decrease when the runner listens to music? Nine runners were timed as the ran a 10K with and without listening to music. The running times in minutes are shown below. Running Time With 47 37 45 42 46 43 54 45 47 Music Without 45 35 51 46 50 50 54 41 49 Music Assume a Normal distribution. What can be concluded at the the a = 0.10 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 (Please enter a decimal) Select an answer b. The test statistic ? (please show your answer to 3 decimal places.) C. The p-value = d. The p-value is (? (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 nine runners finished in less time on average with music compared to running without music. OThe results are statistically significant at a = 0.10, so there is sufficient evidence to conclude that the population mean running time with music is less than the nonulation
College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter8: Sequences, Series, And Probability
Section8.4: Geometric Sequences And Series
Problem 70E
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I need help with parts b-d
![**Study on the Impact of Music on Running Time**
To determine whether listening to music affects running time, nine runners were timed as they ran a 10K race with and without listening to music. The running times (in minutes) are shown in the table below:
| Running Time | | | | | | | | |
|------------------|-----|-----|-----|-----|-----|-----|-----|-----|
| **With Music** | 47 | 37 | 45 | 42 | 46 | 43 | 54 | 45 | 47 |
| **Without Music** | 45 | 35 | 51 | 46 | 50 | 54 | 41 | 49 |
Assuming a normal distribution, the objective is to determine what can be concluded at the α = 0.10 level of significance.
### Steps to Conduct the Hypothesis Test:
1. **Selection of Test:**
- For this study, we should use:
```[Select an answer]```
2. **Formulate the Hypotheses:**
- Null hypothesis \( H_0 \):
```[Select an answer]``` \( \mu \) ```[Select an answer]``` \( \mu \)
(Please enter a decimal)
- Alternative hypothesis \( H_1 \):
```[Select an answer]``` \( \mu \) ```[Select an answer]``` \( \mu \)
(Please enter a decimal)
3. **Calculation of Test Statistic:**
- The test statistic \( t \) is:
```[ \ \ ]``` (Please show your answer to 3 decimal places)
4. **Determine the p-value:**
- The p-value is:
```[ \ \ ]``` \( \alpha \) (Please show your answer to 4 decimal places)
5. **Decision Making:**
- Based on this, we should:
```[Select an answer]``` the null hypothesis
6. **Final Conclusion:**
- Based on the results, the final conclusion is:
- [ ] The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the nine runners finished in less time on average with music compared to running](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Ffd16ddfa-c201-4e3f-90ee-e0e9ce8bf5de%2Fea8f5ce1-2708-46e1-a737-e342a368269e%2Fsz5pqkk_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Study on the Impact of Music on Running Time**
To determine whether listening to music affects running time, nine runners were timed as they ran a 10K race with and without listening to music. The running times (in minutes) are shown in the table below:
| Running Time | | | | | | | | |
|------------------|-----|-----|-----|-----|-----|-----|-----|-----|
| **With Music** | 47 | 37 | 45 | 42 | 46 | 43 | 54 | 45 | 47 |
| **Without Music** | 45 | 35 | 51 | 46 | 50 | 54 | 41 | 49 |
Assuming a normal distribution, the objective is to determine what can be concluded at the α = 0.10 level of significance.
### Steps to Conduct the Hypothesis Test:
1. **Selection of Test:**
- For this study, we should use:
```[Select an answer]```
2. **Formulate the Hypotheses:**
- Null hypothesis \( H_0 \):
```[Select an answer]``` \( \mu \) ```[Select an answer]``` \( \mu \)
(Please enter a decimal)
- Alternative hypothesis \( H_1 \):
```[Select an answer]``` \( \mu \) ```[Select an answer]``` \( \mu \)
(Please enter a decimal)
3. **Calculation of Test Statistic:**
- The test statistic \( t \) is:
```[ \ \ ]``` (Please show your answer to 3 decimal places)
4. **Determine the p-value:**
- The p-value is:
```[ \ \ ]``` \( \alpha \) (Please show your answer to 4 decimal places)
5. **Decision Making:**
- Based on this, we should:
```[Select an answer]``` the null hypothesis
6. **Final Conclusion:**
- Based on the results, the final conclusion is:
- [ ] The results are statistically significant at α = 0.10, so there is sufficient evidence to conclude that the nine runners finished in less time on average with music compared to running
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