**Constructing a Confidence Interval**In this exercise, we're aiming to construct a confidence interval. Here's what you need to do:1. **Find the appropriate critical value**: - (a) Calculate the critical value \( t_{\alpha/2} \) - (b) Calculate the critical value \( z_{\alpha/2} \) - (c) Decide if neither the normal distribution nor the t distribution applies**Summary statistics for randomly selected weights of newborn girls**:- Sample size (\( n \)) = 209- Sample mean (\( \bar{x} \)) = 33.2 hg- Sample standard deviation (\( s \)) = 7.4 hg- Confidence level = 90%**Instructions**:- Choose the correct option below and, if necessary, fill in the answer box to complete your choice.**Options**:- 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.This setup will guide you in determining the correct distribution and corresponding critical value required for constructing the desired confidence interval. **Understanding Confidence Intervals and Distributions**Let's explore how to construct a confidence interval and identify the appropriate distribution to use in statistical analysis.**Scenario:**We aim to construct a confidence interval and determine one of the following:- (a) Find the critical value \( t_{\alpha/2} \).- (b) Find the critical value \( z_{\alpha/2} \).- (c) State that neither the normal distribution nor the t-distribution applies.**Data:**- **Confidence Level**: 95%- **Population Standard Deviation (\(\sigma\))**: Unknown- **Sample**: Histogram of salaries of 61 football players, measured in thousands of dollars.**Histogram Analysis:**- **X-axis**: Salary (in thousands of dollars), ranging from 0 to 20,000.- **Y-axis**: Frequency of players.- Observations: - Most players earn between 0 and 4,000 (in thousands). - Lesser frequencies are observed as salaries increase beyond 4,000 up to 20,000.**Question:**Based on the information provided, choose the correct option:A. \( t_{\alpha/2} = \) [Enter calculation, round to two decimal places]B. \( z_{\alpha/2} = \) [Enter calculation, round to two decimal places]C. Neither the normal distribution nor the t distribution applies.Use this analysis to complete your choice and ensure statistical accuracy when estimating player salaries' confidence intervals.

Note- Since both are different questions, so according to our policy we can answer only one…

Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t12. (b) find the critical value z12, 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= 209, x= 33.2 hg, s=7.4 hg. The confidence level is 90%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. tu/2 = (Round to two decimal places as needed.) O B. Za/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 t12. (b) find the critical value z12, 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= 209, x= 33.2 hg, s=7.4 hg. The confidence level is 90%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. tu/2 = (Round to two decimal places as needed.) O B. Za/2= (Round to two decimal places as needed.) OC. Neither the normal distribution nor the t distribution applies.

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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