Assume that we want to construct a confidence interval. Do one of the following, as appropriate: (a) find the critical value ta/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=D156, x 29.3 hg, s = 7.7 hg. The confidence level is 90%.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
### Constructing Confidence Intervals

Assume that we want to construct a confidence interval. Follow the steps below as appropriate:

1. **Find the critical value \( t_{\alpha/2} \)**
2. **Find the critical value \( z_{\alpha/2} \)**
3. **State that neither the normal distribution nor the t distribution applies**

Here are the summary statistics for randomly selected weights of newborn girls:
- Sample size (\( n \)): 156
- Mean (\( \overline{x} \)): 29.3 hg
- Standard deviation (\( s \)): 7.7 hg

The confidence level is 90%.

### Selection Task

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.**

  [ ] 

Use the appropriate statistical tables or technology to find the critical values needed for constructing the confidence interval. Remember to interpret the results in the context of the given problem and the data provided.
Transcribed Image Text:### Constructing Confidence Intervals Assume that we want to construct a confidence interval. Follow the steps below as appropriate: 1. **Find the critical value \( t_{\alpha/2} \)** 2. **Find the critical value \( z_{\alpha/2} \)** 3. **State that neither the normal distribution nor the t distribution applies** Here are the summary statistics for randomly selected weights of newborn girls: - Sample size (\( n \)): 156 - Mean (\( \overline{x} \)): 29.3 hg - Standard deviation (\( s \)): 7.7 hg The confidence level is 90%. ### Selection Task 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.** [ ] Use the appropriate statistical tables or technology to find the critical values needed for constructing the confidence interval. Remember to interpret the results in the context of the given problem and the data provided.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Knowledge Booster
Point Estimation, Limit Theorems, Approximations, and Bounds
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman