A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before trea had a mean wake time of 94.3 min and a standard deviation of 21.5 min. Assume that the 23 sample values appe estimate of the mean wake time for a population with drug treatments. What does the result suggest about the me Construct the 99% confidence interval estimate of the mean wake time for a population with the treatment. min<µ< min (Round to one decimal place as needed.)* What does the result suggest about the mean wake time of 104.0 min before the treatment? Does the drug appear The confidence interval does not include the mean wake time of 104.0 min before the treatment, so the means b has an effect. treatment

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A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, subjects had a mean wake time of 94.3 min and a standard deviation of 21.5 min. Assume that the 23 sample values appear to be from a population with a normal distribution. Construct a 99% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time before the treatment?

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Construct the 99% confidence interval estimate of the mean wake time for a population with the treatment.

\[ \text{min} < \mu < \text{min} \]

(Round to one decimal place as needed.)

What does the result suggest about the mean wake time of 104.0 min before the treatment? Does the drug appear to have an effect?

The confidence interval does not include the mean wake time of 104.0 min before the treatment, so the means before and after treatment suggests the treatment has an effect.
Transcribed Image Text:A clinical trial was conducted to test the effectiveness of a drug for treating insomnia in older subjects. Before treatment, subjects had a mean wake time of 94.3 min and a standard deviation of 21.5 min. Assume that the 23 sample values appear to be from a population with a normal distribution. Construct a 99% confidence interval estimate of the mean wake time for a population with drug treatments. What does the result suggest about the mean wake time before the treatment? --- Construct the 99% confidence interval estimate of the mean wake time for a population with the treatment. \[ \text{min} < \mu < \text{min} \] (Round to one decimal place as needed.) What does the result suggest about the mean wake time of 104.0 min before the treatment? Does the drug appear to have an effect? The confidence interval does not include the mean wake time of 104.0 min before the treatment, so the means before and after treatment suggests the treatment has an effect.
**Text Transcription for Educational Purposes**

The study investigates the effect of a drug on insomnia in older subjects. Initially, 23 subjects had a mean wake time of 104.0 minutes. Following treatment, these 23 subjects exhibited a mean wake time of 81.4 minutes. There is an assumption that the 23 sample values are normally distributed.

To analyze the effectiveness of the drug, a 99% confidence interval is constructed for the population mean wake time after the treatment. The key questions addressed include:
- Is there a significant difference before and after the treatment?
- Does the drug appear effective?

From the data, it appears that the mean wake time post-treatment significantly decreases compared to the pre-treatment mean wake time of 104.0 minutes, which suggests the drug's effectiveness.

**Diagram Explanation**

The image contains no graphs or diagrams, only text. However, the text implies a statistical analysis, likely involving calculations such as a t-test to determine if the difference in means is significant.
Transcribed Image Text:**Text Transcription for Educational Purposes** The study investigates the effect of a drug on insomnia in older subjects. Initially, 23 subjects had a mean wake time of 104.0 minutes. Following treatment, these 23 subjects exhibited a mean wake time of 81.4 minutes. There is an assumption that the 23 sample values are normally distributed. To analyze the effectiveness of the drug, a 99% confidence interval is constructed for the population mean wake time after the treatment. The key questions addressed include: - Is there a significant difference before and after the treatment? - Does the drug appear effective? From the data, it appears that the mean wake time post-treatment significantly decreases compared to the pre-treatment mean wake time of 104.0 minutes, which suggests the drug's effectiveness. **Diagram Explanation** The image contains no graphs or diagrams, only text. However, the text implies a statistical analysis, likely involving calculations such as a t-test to determine if the difference in means is significant.
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