MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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**Educational Text on Hypothesis Testing**

**Critical Thinking:**
7. When conducting a test for the difference of means for two independent populations, what alternate hypothesis would indicate the mean of the first population is smaller than that of the second population? Express the alternate hypothesis in two ways.

8. When conducting a test for the difference of means for two independent populations, what alternate hypothesis would indicate the mean of the first population is larger than that of the second population?

**Basic Computation: Testing \( \mu_1 - \mu_2 \):**
9. A random sample of 49 measurements from one population had a sample mean of 10, with sample standard deviation 3. An independent random sample of 64 measurements from the second population had a sample mean of 12, with sample standard deviation 2. Test the claim that the population mean of the first population exceeds that of the second. Use a 1% level of significance.

   **Check Requirements:**
   - (a) What distribution does the sample test statistic follow? Explain.
   - (b) State the hypotheses.
   - (c) Compute the P-value of the sample test statistic.
   - (d) Conclude the test.
   - (e) Interpret the results.

10. Same information as question 9, but use a 5% level of significance instead of 1%.

   **Check Requirements:**
   - (a) What distribution does the sample test statistic follow? Explain.
   - (b) State the hypotheses.
   - (c) Compute the P-value of the sample test statistic.
   - (d) Conclude the test.
   - (e) Interpret the results.

**Basic Computation: Testing \( \mu_1 - \mu_2 \):**
11. A random sample of 49 measurements from one population had a sample mean of 10, with sample standard deviation 3. An independent random sample of 64 measurements from the second population had a sample mean of 12, with a sample standard deviation of 2. Test the claim that the population mean of the first population is different from that of the second. Use a 5% level of significance.

   **Check Requirements:**
   - (a) What distribution does the sample test statistic follow? Explain.
   - (b) State the hypotheses.
   - (c) Compute the P-value of the sample test statistic.
   - (d) Con
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Transcribed Image Text:**Educational Text on Hypothesis Testing** **Critical Thinking:** 7. When conducting a test for the difference of means for two independent populations, what alternate hypothesis would indicate the mean of the first population is smaller than that of the second population? Express the alternate hypothesis in two ways. 8. When conducting a test for the difference of means for two independent populations, what alternate hypothesis would indicate the mean of the first population is larger than that of the second population? **Basic Computation: Testing \( \mu_1 - \mu_2 \):** 9. A random sample of 49 measurements from one population had a sample mean of 10, with sample standard deviation 3. An independent random sample of 64 measurements from the second population had a sample mean of 12, with sample standard deviation 2. Test the claim that the population mean of the first population exceeds that of the second. Use a 1% level of significance. **Check Requirements:** - (a) What distribution does the sample test statistic follow? Explain. - (b) State the hypotheses. - (c) Compute the P-value of the sample test statistic. - (d) Conclude the test. - (e) Interpret the results. 10. Same information as question 9, but use a 5% level of significance instead of 1%. **Check Requirements:** - (a) What distribution does the sample test statistic follow? Explain. - (b) State the hypotheses. - (c) Compute the P-value of the sample test statistic. - (d) Conclude the test. - (e) Interpret the results. **Basic Computation: Testing \( \mu_1 - \mu_2 \):** 11. A random sample of 49 measurements from one population had a sample mean of 10, with sample standard deviation 3. An independent random sample of 64 measurements from the second population had a sample mean of 12, with a sample standard deviation of 2. Test the claim that the population mean of the first population is different from that of the second. Use a 5% level of significance. **Check Requirements:** - (a) What distribution does the sample test statistic follow? Explain. - (b) State the hypotheses. - (c) Compute the P-value of the sample test statistic. - (d) Con
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