Salaries of 38 college graduates who took a statistics course in college have a mean, x, of $67,400. Assuming a standard deviation, o, of $15,504, construct a 95% confidence interval for estimating the population mean u Click here to view at distribution table Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table, $

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

HELP!

**Statistics and Confidence Intervals**

Salaries of 38 college graduates who took a statistics course in college have a mean (\( \overline{x} \)) of $67,400. Assuming a standard deviation (\( \sigma \)) of $15,504, construct a 95% confidence interval for estimating the population mean (\( \mu \)).

- Click [here](#) to view a t-distribution table.
- Click [here](#) to view page 1 of the standard normal distribution table.
- Click [here](#) to view page 2 of the standard normal distribution table.

\[ \$ \_\_ \leq \mu \leq \$ \_\_ \] (Round to the nearest integer as needed.)

---

**Guidelines for constructing confidence intervals:**

1. Determine the sample mean (\( \overline{x} \)).
2. Identify the standard deviation (\( \sigma \)).
3. Decide on the confidence level (in this case, 95%).
4. Use the standard normal distribution table or a t-distribution table, based on sample size and information availability, to find the z-score.
5. Calculate the margin of error and construct the interval.

**Note:** The diagram or graph area is left blank for students to input their calculations or view tables as needed for precise values.
Transcribed Image Text:**Statistics and Confidence Intervals** Salaries of 38 college graduates who took a statistics course in college have a mean (\( \overline{x} \)) of $67,400. Assuming a standard deviation (\( \sigma \)) of $15,504, construct a 95% confidence interval for estimating the population mean (\( \mu \)). - Click [here](#) to view a t-distribution table. - Click [here](#) to view page 1 of the standard normal distribution table. - Click [here](#) to view page 2 of the standard normal distribution table. \[ \$ \_\_ \leq \mu \leq \$ \_\_ \] (Round to the nearest integer as needed.) --- **Guidelines for constructing confidence intervals:** 1. Determine the sample mean (\( \overline{x} \)). 2. Identify the standard deviation (\( \sigma \)). 3. Decide on the confidence level (in this case, 95%). 4. Use the standard normal distribution table or a t-distribution table, based on sample size and information availability, to find the z-score. 5. Calculate the margin of error and construct the interval. **Note:** The diagram or graph area is left blank for students to input their calculations or view tables as needed for precise values.
Expert Solution
Step 1

We want to find the 95% CI for population mean (μ)

 

steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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