Arandom sample of the closing stock prices in dollars for a company in a recent year is listed below. Assume that o is $2.13. Construct the 90% and 99% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. 22.77 20.79 16.01 21.32 17.67 18.31 21.37 18.27 19.39 20.04 16.24 17.98 17.53 21.81 20.63 15.51 The 90% confidence interval is ($ S) (Round to two decimal places as needed.)

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
icon
Related questions
Question
Answer these question
### Understanding Confidence Intervals with Stock Prices

**Scenario Description:**
A random sample of closing stock prices in dollars for a company in a recent year is listed below. Assume the standard deviation (σ) is $2.13. The task is to construct the 90% and 99% confidence intervals for the population mean, interpret the results, and compare the widths of the confidence intervals.

**Sample Data:**
- 21.37
- 18.27
- 22.77
- 20.79
- 16.01
- 21.32
- 17.67
- 18.31
- 20.63
- 15.51
- 19.39
- 20.04
- 16.24
- 17.98
- 17.53
- 21.81

**Instructions:**
- Construct the 90% confidence interval.
- (Round to two decimal places as needed.)

**Placeholder for Input:**
- The 90% confidence interval is \((\square, \square)\).

**Resources:**
- Help Me Solve This
- View an Example
- Get More Help

**Note:**
This exercise helps in understanding how to calculate and interpret confidence intervals, which are critical in statistical analysis to estimate the range in which a population parameter lies, based on sample data.

**Footer:**
- Copyright © 2021 Pearson Education Inc. All rights reserved.
- Terms of Use | Privacy Policy | Permissions | Contact Us

This exercise is designed to help students improve their statistical skills by working through real data and applying mathematical concepts to determine confidence intervals.
Transcribed Image Text:### Understanding Confidence Intervals with Stock Prices **Scenario Description:** A random sample of closing stock prices in dollars for a company in a recent year is listed below. Assume the standard deviation (σ) is $2.13. The task is to construct the 90% and 99% confidence intervals for the population mean, interpret the results, and compare the widths of the confidence intervals. **Sample Data:** - 21.37 - 18.27 - 22.77 - 20.79 - 16.01 - 21.32 - 17.67 - 18.31 - 20.63 - 15.51 - 19.39 - 20.04 - 16.24 - 17.98 - 17.53 - 21.81 **Instructions:** - Construct the 90% confidence interval. - (Round to two decimal places as needed.) **Placeholder for Input:** - The 90% confidence interval is \((\square, \square)\). **Resources:** - Help Me Solve This - View an Example - Get More Help **Note:** This exercise helps in understanding how to calculate and interpret confidence intervals, which are critical in statistical analysis to estimate the range in which a population parameter lies, based on sample data. **Footer:** - Copyright © 2021 Pearson Education Inc. All rights reserved. - Terms of Use | Privacy Policy | Permissions | Contact Us This exercise is designed to help students improve their statistical skills by working through real data and applying mathematical concepts to determine confidence intervals.
Expert Solution
Step 1

Using Excel formula “=NORM.S.INV(1-(0.10/2))” (or from standard normal distribution table), the z-value for 90% is 1.645.

Using Excel formula “=NORM.S.INV(1-(0.01/2))” (or from standard normal distribution table), the z-value for 99% is 2.576.

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Recommended textbooks for you
A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability
A First Course in Probability
Probability
ISBN:
9780321794772
Author:
Sheldon Ross
Publisher:
PEARSON