What test should you use to analyze these results, and why? Will you use a one-tailed or a two-tailed test? Also, what is the result of your analysis? **Study Overview: REM Sleep and Sleeping Pills**Most sleeping pills reduce the period of dreaming sleep, also known as rapid eye movement (REM) sleep. A new sleeping pill claims it does not affect REM sleep. To validate this claim, a study was conducted with two groups of subjects. Group 1 received a placebo, and Group 2 received the recommended dosage of the new sleeping pill. REM sleep was monitored in a sleep lab over the course of one night, with the total minutes spent in REM sleep recorded for each subject. Below, Table 10.5 presents the study's findings.### Table 10.5: Number of Minutes of REM Sleep During an 8-Hour Sleep Period| Placebo | Sleeping Pill ||---------|---------------|| 90 | 65 || 92 | 58 || 76 | 52 || 82 | 60 || 90 | 57 || 75 | 63 || 86 | 59 || 78 | 77 || 106 | || 84 | |**Key Observations:**- The placebo group appears to generally have higher REM sleep durations compared to the sleeping pill group.- Minutes of REM sleep for the placebo group range from 75 to 106.- Minutes of REM sleep for the sleeping pill group range from 52 to 77.These results provide insight into the effect of the new sleeping pill on REM sleep, which appears to reduce REM duration in comparison to the placebo.

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

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What test should you use to analyze these results, and why? Will you use a one-tailed or a two-tailed test? Also, what is the result of your analysis?

**Study Overview: REM Sleep and Sleeping Pills**

Most sleeping pills reduce the period of dreaming sleep, also known as rapid eye movement (REM) sleep. A new sleeping pill claims it does not affect REM sleep. To validate this claim, a study was conducted with two groups of subjects. Group 1 received a placebo, and Group 2 received the recommended dosage of the new sleeping pill. REM sleep was monitored in a sleep lab over the course of one night, with the total minutes spent in REM sleep recorded for each subject. Below, Table 10.5 presents the study's findings.

### Table 10.5: Number of Minutes of REM Sleep During an 8-Hour Sleep Period

| Placebo | Sleeping Pill |
|---------|---------------|
| 90 | 65 |
| 92 | 58 |
| 76 | 52 |
| 82 | 60 |
| 90 | 57 |
| 75 | 63 |
| 86 | 59 |
| 78 | 77 |
| 106 | |
| 84 | |

**Key Observations:**
- The placebo group appears to generally have higher REM sleep durations compared to the sleeping pill group.
- Minutes of REM sleep for the placebo group range from 75 to 106.
- Minutes of REM sleep for the sleeping pill group range from 52 to 77.

These results provide insight into the effect of the new sleeping pill on REM sleep, which appears to reduce REM duration in comparison to the placebo.

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Given the table for the number of minutes of REM sleep during an 8 hour sleep period.

You want to validate the claims of a new sleeping pill, which is advertised as not affecting REM sleep at all.

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