faculty cars have ages with a mean of 6 years and evel to test the claim that student cars are older th 78
faculty cars have ages with a mean of 6 years and evel to test the claim that student cars are older th 78
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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Question
construct a 99% confidence interval
![**Statistical Analysis of Car Ages: An Educational Example**
In a study comparing the ages of student and faculty cars, two random samples were analyzed.
1. **Hypothesis Testing:**
Randomly selected 11 student cars have ages with a mean of 7.2 years and a standard deviation of 3.4 years. Randomly selected 27 faculty cars have ages with a mean of 6 years and a standard deviation of 3.5 years.
- **Objective:** Use a 0.01 significance level to test the claim that student cars are older than faculty cars.
- **Results:**
- (a) The test statistic is \(0.978\).
- (b) The critical value is \(2.764\).
- (c) Conclusion: Is there sufficient evidence to support the claim that student cars are older than faculty cars?
- A. No
- B. Yes (Correct answer: A. No)
2. **Confidence Interval:**
Construct a 99% confidence interval estimate of the difference \(\mu_s - \mu_f\), where \(\mu_s\) is the mean age of student cars and \(\mu_f\) is the mean age of faculty cars.
- The confidence interval is represented as:
\[
< (\mu_s - \mu_f) <
\]
(Note: The exact values for the confidence interval boundaries weren't provided in the image.)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F7269c65d-b7b5-4fbf-8945-da94b0914ae2%2Fe65aad4e-0550-4ffc-970c-35a6c0dbbdca%2F1g9fr4p_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Statistical Analysis of Car Ages: An Educational Example**
In a study comparing the ages of student and faculty cars, two random samples were analyzed.
1. **Hypothesis Testing:**
Randomly selected 11 student cars have ages with a mean of 7.2 years and a standard deviation of 3.4 years. Randomly selected 27 faculty cars have ages with a mean of 6 years and a standard deviation of 3.5 years.
- **Objective:** Use a 0.01 significance level to test the claim that student cars are older than faculty cars.
- **Results:**
- (a) The test statistic is \(0.978\).
- (b) The critical value is \(2.764\).
- (c) Conclusion: Is there sufficient evidence to support the claim that student cars are older than faculty cars?
- A. No
- B. Yes (Correct answer: A. No)
2. **Confidence Interval:**
Construct a 99% confidence interval estimate of the difference \(\mu_s - \mu_f\), where \(\mu_s\) is the mean age of student cars and \(\mu_f\) is the mean age of faculty cars.
- The confidence interval is represented as:
\[
< (\mu_s - \mu_f) <
\]
(Note: The exact values for the confidence interval boundaries weren't provided in the image.)
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