**Constructing a Confidence Interval**When constructing a confidence interval, determine the appropriate critical value needed. Follow these steps based on the given data.### Summary Statistics:- **Sample size (n):** 188- **Sample mean (x̄):** 32.2 hg- **Sample standard deviation (s):** 6.1 hg- **Confidence level:** 95%### Instructions:Select the appropriate option and, if necessary, fill in the answer box with your calculated value.**Options:**A. Calculate the critical value \( t_{\alpha/2} \). - (Round to two decimal places as needed.)B. Calculate the critical value \( z_{\alpha/2} \). - (Round to two decimal places as needed.)C. State that neither the normal distribution nor the t distribution applies. **Choose the correct statistical method based on the information provided.****Note:**- Use a \( t \)-distribution if the sample size is small or the population standard deviation is unknown.- Use a \( z \)-distribution when the sample size is large and the population standard deviation is known or approximated well by the sample standard deviation.**Graph or Diagram Explanation:**There were no graphs or diagrams in the image; focus on calculating and interpreting the critical values for constructing confidence intervals.

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Description: **Constructing a Confidence Interval**When constructing a confidence interval, determine the appropriate critical value needed. Follow these steps based on the given data.### Summary Statistics:- **Sample size (n):** 188- **Sample mean (x̄):** 32.2

Given information- Sample size, n = 188 Sample mean, x-bar = 32.2 hg Sample standard deviation, s =…

Math

Statistics

Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value t,12, (b) find the critical value z,12, 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 = 188, x 32.2 hg, s = 6.1 hg. The confidence level is 95%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ta/2 = (Round to two decimal places as needed.) Ов. Za/2= (Round to two decimal places as needed.) O 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,12, (b) find the critical value z,12, 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 = 188, x 32.2 hg, s = 6.1 hg. The confidence level is 95%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ta/2 = (Round to two decimal places as needed.) Ов. Za/2= (Round to two decimal places as needed.) O C. 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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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. The confidence level is 90%, a= 3710 thousand dollars, and the histogram of 59 player salaries (in thousands of dollars) of football players on a team is as shown. ó 4000 8000 12000 16000 2000 Salary (thousands of dollars) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. /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 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 to/2, (b) find the critical value Zα/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 = 286, x = 33.3 hg, s = 6.4 hg. The confidence level is 95%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. ta/2= B. (Round to two decimal places as needed.) 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 t,/2, (b) find the critical value z,12, 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= 294, x= 29.4 hg, s = 6.4 hg. The confidence level is 95%. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. O A. ta12 =| (Round to two decimal places as needed.) %D В. Za/2 = (Round to two decimal places as needed.) O C. Neither the normal distribution nor the t distribution applies.
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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. Here are summary statistics for randomly selected weights of newborn girls: n=282, x=32.1 hg, s=7.3 hg. The confidence level is 95%.
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