**Constructing a Confidence Interval - An Educational Guide**When constructing a confidence interval, follow one of these steps, as fits your scenario:1. **Find the critical value \( t_{\alpha/2} \).**2. **Find the critical value \( z_{\alpha/2} \).**3. **Determine if neither the normal distribution nor the t distribution is applicable.**### Problem Description:We are given the following summary statistics for the weights of randomly selected newborn girls:- Sample size (\( n \)) = 241- Sample mean (\( \bar{x} \)) = 30.9 hg- Sample standard deviation (\( s \)) = 6.4 hg- Confidence level = 95%### Instructions:Select the correct choice below and, if necessary, enter your answer in the provided space:- **Option A:** \( t_{\alpha/2} = \) (Round to two decimal places as needed.)- **Option B:** \( z_{\alpha/2} = \) (Round to two decimal places as needed.)- **Option C:** State that neither the normal distribution nor the t distribution applies.**Note:** This guide works within the context of statistical analysis and interpretation of data sets, important topics in education related to statistics and data science.

Given Data : Sample Size, n = 241 Sample Mean, x̄ = 30.9 sample…

Answered: **Constructing a Confidence Interval -…

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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Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2,(b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 95%, σ=3527 thousand dollars, and the histogram of 51 player salaries (in thousands of dollars) of football players on a team is as shown. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. tα/2=____ (Round to two decimal places as needed.) B. zα/2=_____(Round to two decimal places as needed.) C.Neither the normal distribution nor the t distribution applies.
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t/2, (b) find the critical value z 12, 0r (c) state that neither the normal distribution 40- nor the t distribution applies. 30- The confidence level is 99%, o is not known, and the histogram of 57 player salaries (in thousands of dollars) of football players on a team is as shown. 20- 10- 4000 8000 12000 16000 20000 Salary (thousands of dollars) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. ta/2 = (Round to two decimal places as needed.) O B. Za/2 = (Round to two decimal places as needed.) C. Neither the normal distribution nor the t distribution applies. kɔuənbəj-
Assume that we want to construct a confidence interval. Do one of the following, as appropriate. (a) Find the critical value zα/2, (b) find the critical value tα/2, or (c) state that neither the normal nor the t distribution applies. Confidence level is 95%, σ=23.5, and the histogram of right-eye vision mea surements from a random sample of 52 adult males is shown to the right. 05010015020001020304050Vision in Right EyeFrequency A histogram has a horizontal axis labeled "Vision in Right Eye" from 0 to greater than 200 in increments of 25 and a vertical axis labeled Frequency from 0 to 50 in increments of 10. The histogram contains vertical bars of width 25, where each vertical bar is centered over a horizontal axis tick mark. The heights of the three vertical bars are as follows, where the horizontal axis value is listed first and the height is listed second: 25, 37; 50, 14; 200, 1. Select the correct choice below and,…
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t,/2, (b) find the critical value z/2, or (c) state that neither the normal 40- distribution nor the t distribution applies. 30- The confidence level is 95%, o is not known, and the histogram of 58 player salaries (in thousands of dollars) of football players on a team is as shown. 20- 10- 0- 4000 Salary (thousands of dollars) 8000 12000 16000 20000 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. ta/2 = %3D (Round to two decimal places as needed.) В. Za/2 =| (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies. Frequency
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t/2, (b) find the critical value z,/2, or (c) state that neither the normal distribution nor the t distribution applies. 230, x 32.6 hg, s = 7.9 hg. The confidence level is 90% Here are summary statistics for randomly selected weights of newborn girls: n Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. (Round to two decimal places as needed.) В. Za/2 (Round to two decimal places as needed.) C. Neither the normal distribution nor the t distribution applies.
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 95%, σ is not known, and the histogram of 59 player salaries (in thousands of dollars) of football players on a team is as shown. 040008000120001600020000010203040Salary (thousands of dollars)Frequency A histogram has a horizontal axis labeled "Salary (thousands of dollars)" from below 0 to above 20000 in increments of 2000 and a vertical axis labeled "Frequency" from 0 to 40 in increments of 10. The histogram contains vertical bars of width 2000, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the salary is listed first and the height is listed second: 0, 34; 2000, 12; 4000,…
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value to/2, (b) find the critical value Za/2, or (c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n=287, x= 29.9 hg, s= 6.8 hg. The confidence level is 90%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. ta/2= OB. (Round to two decimal places as needed.) Zα/2 (Round to two decimal places as needed.) OC. Neither the normal distribution nor the t distribution applies.
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies.The confidence level is 99%, σ is not known, and the histogram of 63 player salaries (in thousands of dollars) of football players on a team is as shown. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A.tα/2=_(Round to two decimal places as needed.) B.zα/2=_(Round to two decimal places as needed.) C.Neither the normal distribution nor the t distribution applies
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 99%, σ is not known, and the histogram of 57 player salaries (in thousands of dollars) of football players on a team is as shown. 040008000120001600020000010203040Salary (thousands of dollars)Frequency A histogram has a horizontal axis labeled "Salary (thousands of dollars)" from below 0 to above 20000 in increments of 2000 and a vertical axis labeled "Frequency" from 0 to 40 in increments of 10. The histogram contains vertical bars of width 2000, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the salary is listed first and the height is listed second: 0, 35; 2000, 12; 4000,…
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 90%, σ=3559 thousand dollars, and the histogram of 54 player salaries (in thousands of dollars) of football players on a team is as shown. 040008000120001600020000010203040Salary (thousands of dollars)Frequency A histogram has a horizontal axis labeled "Salary (thousands of dollars)" from below 0 to above 20000 in increments of 2000 and a vertical axis labeled "Frequency" from 0 to 40 in increments of 10. The histogram contains vertical bars of width 2000, where one vertical bar is centered over each of the horizontal axis tick marks. The heights of the vertical bars are as follows, where the salary is listed first and the height is listed second: 0, 32; 2000,…
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value tα/2, (b) find the critical value zα/2, or (c) state that neither the normal distribution nor the t distribution applies. The confidence level is 95%, σ is not known, and the histogram of 55 player salaries (in thousands of dollars) of football players on a team is as shown.
Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t,/2, (b) find the critical value za/2, or (c) state that neither the normal distribution nor the t distribution applies. Here are summary statistics for randomly selected weights of newborn girls: n = 190, x = 33.9 hg, s = 6.8 hg. The confidence level is 90%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. ta/2= (Round to two decimal places as needed.) O B. Za/2 = (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies.

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