one-tailed or two-tailed test: State the Hypotheses; df= ta or t value for the critical region = sM = %3D t%3D

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
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Chapter1: Starting With Matlab
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1. The coach of a very popular men's basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M = 36 miles and s = 5 miles. Test the coach's claim at the 5% (.05) level of significance.
Transcribed Image Text:1. The coach of a very popular men's basketball team claims that the average distance the fans travel to the campus to watch a game is 35 miles. The team members feel otherwise. A sample of 16 fans who travel to games was randomly selected and yielded a mean of M = 36 miles and s = 5 miles. Test the coach's claim at the 5% (.05) level of significance.
**Understanding Hypothesis Testing**

When conducting a hypothesis test, you'll need to determine whether you're using a one-tailed or two-tailed test. Here's a step-by-step guide for setting up your test:

1. **State the Hypotheses:**
   - Clearly define your null and alternative hypotheses.

2. **Degrees of Freedom (df):**
   - Enter the degrees of freedom based on your data set.

3. **Critical Value (tα or t value for the critical region):**
   - Determine the critical value that corresponds to your test.

4. **Standard Error of the Mean (sM):**
   - Calculate or provide the standard error for your sample mean.

5. **Test Statistic (t):**
   - Compute or provide the t-statistic for your test.

6. **Decision:**
   - Based on the t-statistic and the critical value, decide whether to reject or fail to reject the null hypothesis.

By following these steps, you'll be able to properly conduct and interpret the results of a hypothesis test.
Transcribed Image Text:**Understanding Hypothesis Testing** When conducting a hypothesis test, you'll need to determine whether you're using a one-tailed or two-tailed test. Here's a step-by-step guide for setting up your test: 1. **State the Hypotheses:** - Clearly define your null and alternative hypotheses. 2. **Degrees of Freedom (df):** - Enter the degrees of freedom based on your data set. 3. **Critical Value (tα or t value for the critical region):** - Determine the critical value that corresponds to your test. 4. **Standard Error of the Mean (sM):** - Calculate or provide the standard error for your sample mean. 5. **Test Statistic (t):** - Compute or provide the t-statistic for your test. 6. **Decision:** - Based on the t-statistic and the critical value, decide whether to reject or fail to reject the null hypothesis. By following these steps, you'll be able to properly conduct and interpret the results of a hypothesis test.
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