A summary of the results of this study is given below. Increase in Lat Pull Down (lbs) Andro 15 n y S Placebo 15 12.13 1.55 27.40 1.54 Based on these results, is there evidence that the P-value for the hypothesis test with a directional alternative hypothesis will be greater than 0.5? OA. No, because the sample means are in the same direction as HA. OB. Yes, because the sample means are in the same direction as HA. OC. No, because the sample means are in the opposite direction as HA. OD. Yes, because the sample means are in the opposite diection as HA.

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**Title**: Analyzing Study Results: Increase in Lat Pull Down (lbs)

**Study Results Overview**

A summary of the results from a study on the increase in Lat Pull Down (lbs) is provided below:

|                  | Placebo | Andro  |
|------------------|---------|--------|
| **n**            | 15      | 15     |
| **Mean (\( \bar{y} \))**      | 12.13   | 27.40  |
| **Standard Deviation (s)** | 1.55    | 1.54   |

**Research Question**

Based on these results, is there evidence that the P-value for the hypothesis test with a directional alternative hypothesis will be greater than 0.5?

**Options for Consideration**

- **A.** No, because the sample means are in the same direction as \( H_A \).
- **B.** Yes, because the sample means are in the same direction as \( H_A \).
- **C.** No, because the sample means are in the opposite direction as \( H_A \).
- **D.** Yes, because the sample means are in the opposite direction as \( H_A \).

**Explanation**

The table indicates two groups: those receiving a placebo and those receiving 'Andro'. The sample size for both groups is 15. The mean increase in Lat Pull Down for the Placebo group is 12.13 lbs with a standard deviation of 1.55, while the Andro group has a mean increase of 27.40 lbs and a standard deviation of 1.54.

The question prompts an analysis regarding the P-value, which indicates the probability that the observed data would occur under the null hypothesis. A P-value greater than 0.5 implies less evidence against the null hypothesis.

Consider the direction of the sample means and how they relate to the hypothesis being tested to answer the research question.
Transcribed Image Text:**Title**: Analyzing Study Results: Increase in Lat Pull Down (lbs) **Study Results Overview** A summary of the results from a study on the increase in Lat Pull Down (lbs) is provided below: | | Placebo | Andro | |------------------|---------|--------| | **n** | 15 | 15 | | **Mean (\( \bar{y} \))** | 12.13 | 27.40 | | **Standard Deviation (s)** | 1.55 | 1.54 | **Research Question** Based on these results, is there evidence that the P-value for the hypothesis test with a directional alternative hypothesis will be greater than 0.5? **Options for Consideration** - **A.** No, because the sample means are in the same direction as \( H_A \). - **B.** Yes, because the sample means are in the same direction as \( H_A \). - **C.** No, because the sample means are in the opposite direction as \( H_A \). - **D.** Yes, because the sample means are in the opposite direction as \( H_A \). **Explanation** The table indicates two groups: those receiving a placebo and those receiving 'Andro'. The sample size for both groups is 15. The mean increase in Lat Pull Down for the Placebo group is 12.13 lbs with a standard deviation of 1.55, while the Andro group has a mean increase of 27.40 lbs and a standard deviation of 1.54. The question prompts an analysis regarding the P-value, which indicates the probability that the observed data would occur under the null hypothesis. A P-value greater than 0.5 implies less evidence against the null hypothesis. Consider the direction of the sample means and how they relate to the hypothesis being tested to answer the research question.
**Scenario for Experimental Study on Androstenedione and Strength**

Androstenedione (andro) is a steroid that some athletes believe can enhance strength. Researchers examined this claim by selecting a random sample of men and randomly assigning them to two groups: one group received andro and the other received a placebo. A key variable measured in this study was the increase in "lat pull down" strength (in pounds) of each participant after 4 weeks. (A lat pull down is a type of weightlifting exercise.)
Transcribed Image Text:**Scenario for Experimental Study on Androstenedione and Strength** Androstenedione (andro) is a steroid that some athletes believe can enhance strength. Researchers examined this claim by selecting a random sample of men and randomly assigning them to two groups: one group received andro and the other received a placebo. A key variable measured in this study was the increase in "lat pull down" strength (in pounds) of each participant after 4 weeks. (A lat pull down is a type of weightlifting exercise.)
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