a. Enter the null hypothesis for this test. Ho Select an answer ? b. Enter the alternative hypothesis for this test. H₁: Select an answer ? c. Is the original claim located in the null or alternative hypothesis? Select an answer
a. Enter the null hypothesis for this test. Ho Select an answer ? b. Enter the alternative hypothesis for this test. H₁: Select an answer ? c. Is the original claim located in the null or alternative hypothesis? Select an answer
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
![**Hypothesis Testing Example: Commuter Distance to Campus**
An administrator claims that for a particular school, commuters drive on average more than 14.1 miles to get to campus. You decide to test this claim with a random sample of 84 students having a mean of 14.5 miles and a standard deviation of 2.7 miles. Test the administrator's claim using a level of significance of \( \alpha = 0.05 \).
a. **Enter the null hypothesis for this test.**
\( H_0 \): [Select an answer]
b. **Enter the alternative hypothesis for this test.**
\( H_1 \): [Select an answer]
c. **Is the original claim located in the null or alternative hypothesis?**
[Select an answer]
d. **What is the test statistic for the given statistics?**
[Input Field]
e. **What is the \( p \)-value for this test?**
[Input Field]
f. **What is the decision based on the given statistics?**
[Select an answer]
g. **What is the correct interpretation of this decision?**
Using a [Input Field]% level of significance, there [Select an answer] sufficient evidence to [Select an answer] the claim that for a particular school, commuters drive on average more than 14.1 miles to get to campus.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F362f6a54-f2ac-42e5-b1a0-3165b253b278%2F302dd2b3-6796-4c1e-abd5-349151666739%2Fqcjoc3_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Hypothesis Testing Example: Commuter Distance to Campus**
An administrator claims that for a particular school, commuters drive on average more than 14.1 miles to get to campus. You decide to test this claim with a random sample of 84 students having a mean of 14.5 miles and a standard deviation of 2.7 miles. Test the administrator's claim using a level of significance of \( \alpha = 0.05 \).
a. **Enter the null hypothesis for this test.**
\( H_0 \): [Select an answer]
b. **Enter the alternative hypothesis for this test.**
\( H_1 \): [Select an answer]
c. **Is the original claim located in the null or alternative hypothesis?**
[Select an answer]
d. **What is the test statistic for the given statistics?**
[Input Field]
e. **What is the \( p \)-value for this test?**
[Input Field]
f. **What is the decision based on the given statistics?**
[Select an answer]
g. **What is the correct interpretation of this decision?**
Using a [Input Field]% level of significance, there [Select an answer] sufficient evidence to [Select an answer] the claim that for a particular school, commuters drive on average more than 14.1 miles to get to campus.
Expert Solution

Step 1
It is given that
Population mean, μ = 14.1
Sample mean, X̄ = 14.5
Sample standard deviation, s = 2.7
Sample size, n = 84
Significance level, α = 0.05
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