Question: 2 In a sample of 100 patients that did not receive the flu shot, the average recovery time after being infected with the flu was 7 days with a standard deviation of 4 days. What is a 95% confidence interval for the population average recovery time? **Question:**In a sample of 100 patients that did not receive the flu shot, the average recovery time after being infected with the flu was 7 days with a standard deviation of 4 days. What is a 95% confidence interval for the population average recovery time?**Options:**- (6.97, 7.03)- (5.97, 8.03)- (6.21, 7.79)- (6.22, 7.78)**Explanation:**This question involves calculating the 95% confidence interval for the population mean recovery time. We know the sample mean, sample size, and standard deviation, which allows us to use the formula for the confidence interval:\[ \text{CI} = \bar{x} \pm z \left(\frac{\sigma}{\sqrt{n}}\right) \]Where:- $\bar{x}$ is the sample mean (7 days)- $z$ is the z-score corresponding to the desired confidence level (approximately 1.96 for 95%)- $\sigma$ is the standard deviation (4 days)- $n$ is the sample size (100)Substituting the values:\[ \text{Margin of error} = 1.96 \times \left(\frac{4}{\sqrt{100}}\right) = 1.96 \times 0.4 = 0.784 \]95% CI: $ 7 \pm 0.784 = (6.216, 7.784) $Thus, the correct option is (6.22, 7.78).

The random variable recovery time follows normal distribution. The sample size is 100. The sample…

In a sample of 100 patients that did not receive the flu shot, the average recovery time after being infected with the flu was 7 days with a standard deviation of 4 days. What is a 95% confidence interval for the population average recovery time?

In a sample of 100 patients that did not receive the flu shot, the average recovery time after being infected with the flu was 7 days with a standard deviation of 4 days. What is a 95% confidence interval for the population average recovery time?

A First Course in Probability (10th Edition)

10th Edition

ISBN:9780134753119

Author:Sheldon Ross

Publisher:Sheldon Ross

Chapter1: Combinatorial Analysis

Section: Chapter Questions

Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...

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