Answer:
(View Below)
Explanation:
To construct a 95% confidence interval estimate of the mean wait time for a population after the drug treatment, you can use the following formula for a confidence interval:
\[ \text{Confidence Interval} = \text{Sample Mean} \pm \left(\frac{\text{Standard Error}}{\sqrt{\text{Sample Size}}}\right) \times \text{Critical Value} \]
Here, you have the following information:
- Sample Mean (\( \bar{x} \)) after treatment = 94.1 minutes
- Standard Deviation (\( \sigma \)) after treatment = 21.4 minutes
- Sample Size (\( n \)) = 13
- Confidence Level = 95%
First, you need to find the critical value for a 95% confidence interval. This corresponds to a two-tailed confidence interval, so the critical value is based on the standard normal (Z) distribution. For a 95% confidence level, the critical Z-value is approximately ±1.96 (you can find this value from a Z-table or calculator).
Next, calculate the standard error (\(SE\)):
\[ SE = \frac{\sigma}{\sqrt{n}} \]
Substitute the values:
\[ SE = \frac{21.4}{\sqrt{13}} \approx 5.912 \text{ minutes} \]
Now, you can construct the confidence interval:
\[ \text{Confidence Interval} = 94.1 \pm (5.912 \times 1.96) \]
Calculating the endpoints:
Lower Limit = \( 94.1 - (5.912 \times 1.96) \)
Upper Limit = \( 94.1 + (5.912 \times 1.96) \)
Lower Limit ≈ 83.43 minutes
Upper Limit ≈ 104.77 minutes
The 95% confidence interval estimate for the mean wait time for the population after the drug treatment is approximately (83.43 minutes, 104.77 minutes).
Now, let's interpret the result:
- The original mean wait time before the treatment was 101.0 minutes.
- The lower limit of the confidence interval after the treatment is 83.43 minutes.
The result suggests that after the drug treatment, the mean wait time has decreased compared to before the treatment. The lower limit of the confidence interval is below the original mean wait time of 101.0 minutes. This suggests that the drug appears to be effective in reducing the mean wait time for the population.
However, it's essential to note that this is an observational study, and other factors could be at play. Further clinical trials and analysis are needed to establish the drug's effectiveness definitively.
The 95% confidence interval estimate for the mean wait time for a population's drug treatment is approximately (78.13, 109.07) minutes. The result suggests that the main wait time of 101.0 minutes before the treatment is not within the confidence interval, indicating that the drug appears to be effective in reducing the wait time.
To construct a 95% confidence interval estimate of the mean wait time for a population's drugtreatment, we can use the formula:
Confidence Interval = Sample Mean ± (Critical Value) * (Standard Deviation / √Sample Size)
Given that the sample mean after treatment is 94.1 minutes, the standard deviation is 21.4 minutes, and the sample size is 13, we can calculate the critical value using a t-distribution table or a statistical software.
Assuming a t-distribution with 12 degrees of freedom (n-1), the critical value for a 95% confidence level is approximately 2.179.
Substituting the values into the formula:
Confidence Interval = 94.1 ± (2.179) * (21.4 / √13)
Simplifying the expression:
Confidence Interval = 94.1 ± 15.97
Therefore, the 95% confidence interval estimate for the mean wait time for a population's drug treatment is approximately (78.13, 109.07) minutes.
The result suggests that the main wait time of 101.0 minutes before the treatment is not within the confidence interval. This indicates that the drug appears to be effective in reducing the wait time, as the confidence interval does not include the pre-treatment mean.
Learn more about confidence interval estimation and hypothesis testing here:
#SPJ14
Answer:
depends on the safety of your neighborhood, your child's maturity, and your own comfort level. You should never let your child go trick-or-treating all by himself; if you are ready to let him go without an adult, make sure he travels with other children his age.
Explanation:
Answer: D
Explanation: Money
B. 1,800
C. 2,500
D. 2,300
Answer:
The correct answer is- C. 2,500
Explanation:
Calories determines the amount of energy a food contains. Different food contains different amount of calories and an average, moderately active adult male should consume approximately 2,500 calories to maintain its body weight.
The amount of calories depends on age, gender, lifestyle and size of a person. For example, growing teenagers and physically more active persons need more calories than less active persons.
To reduce weight we need to burn more calories by physical exercise than consuming and to increase weight we need to consume more calories than loosing. So the correct answer to this question is C. 2,500.