**Constructing a Confidence Interval**Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value \( t_{\alpha/2} \), (b) find the critical value \( z_{\alpha/2} \), or (c) state that neither the normal distribution nor the t distribution applies.The confidence level is 90%, \( \sigma \) is not known, and the histogram of 61 player salaries (in thousands of dollars) of football players on a team is as shown.**Histogram Explanation:**- **X-axis (Salary - thousands of dollars):** Ranges from 0 to 2000.- **Y-axis (Frequency):** Ranges from 0 to 40.- The distribution is right-skewed, with the highest frequency (around 38) at the 0 to 4000 interval.**Choices:**Select the correct choice below and, if necessary, fill in the answer box to complete your choice.- A. \( t_{\alpha/2} = \) [____] (Round to two decimal places as needed.)- B. \( z_{\alpha/2} = \) [____] (Round to two decimal places as needed.)- C. Neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n = 206, \(\bar{x} = 33.6\) hg, \(s = 7.8\) hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 31.6 hg < \(\mu\) < 35.8 hg with only 17 sample values, \(\bar{x} = 33.7\) hg, and \(s = 3.4\) hg?What is the confidence interval for the population mean \(\mu\)?\[\text{▢ hg} < \mu < \text{▢ hg} \quad (\text{Round to one decimal place as needed.})\]Are the results between the two confidence intervals very different?- A. No, because the confidence interval limits are similar.- B. No, because each confidence interval contains the mean of the other confidence interval.- C. Yes, because one confidence interval does not contain the mean of the other confidence interval.- D. Yes, because the confidence interval limits are not similar.

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Description: **Constructing a Confidence Interval**Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value \( t_{\alpha/2} \), (b) find the critical value \( z_{\alpha/2} \), or (c) state that

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Here are summary statistics for randomly selected weights of newborn girls: n = 206, x= 33.6 hg, s= 7.8 hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 31.6 hg

Here are summary statistics for randomly selected weights of newborn girls: n = 206, x= 33.6 hg, s= 7.8 hg. Construct a confidence interval estimate of the mean. Use a 98% confidence level. Are these results very different from the confidence interval 31.6 hg

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Here are summary statistics for randomly selected weights of newborn girls: n= 240, x= 31.8 hg, s=7.9 hg. Construct a confidence interval estimate of the mean. Use a 99% confidence level. Are these results very different from the confidence interval 29.1 hg < u< 34.7 hg with only 15 sample values, x= 31.9 hg, and s = 3.6 hg? What is the confidence interval for the population mean u? |hg < u< hg (Round to one decimal place as needed.)
What are the confidence intervals for: Mean= 5.9 Sd= 3 N=200 α= .01
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