Assume that you want to test the claim that the paired sample data below come from a population from which the mean difference is zero. Using JMP, compute the value of the appropriate test statistic. Do the data appear to come from a population where the mean difference is zero? X: 28 35 25 25 32 30 28 37 Y: 26 31 31 25 33 35 28 33 а. No b. c. Yes d.

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**Paired Sample Test for Mean Difference**

**Problem Statement:**
Assume that you want to test the claim that the paired sample data below come from a population from which the mean difference is zero. Using JMP, compute the value of the appropriate test statistic. Do the data appear to come from a population where the mean difference is zero?

**Data:**
- **X:** 28, 35, 25, 25, 32, 30, 28, 37
- **Y:** 26, 31, 31, 25, 33, 35, 28, 33

**Options:**
- a. No
- b. 
- c. Yes
- d. 

**Instructions:**
Use the software JMP to perform a paired sample t-test. Compare each pair in the datasets X and Y to determine if their mean difference is statistically significantly different from zero.

**Analysis:**
1. Identify paired differences by subtracting each element in Y from the corresponding element in X.
2. Calculate the mean and standard deviation of these differences.
3. Use JMP to compute the t-statistic for these differences.
4. Interpret the p-value to determine if the null hypothesis, that the mean difference is zero, can be rejected.

**Conclusion:**
Select the correct option (a, b, c, or d) based on your analysis to answer the question: Do the data appear to come from a population where the mean difference is zero?
Transcribed Image Text:**Paired Sample Test for Mean Difference** **Problem Statement:** Assume that you want to test the claim that the paired sample data below come from a population from which the mean difference is zero. Using JMP, compute the value of the appropriate test statistic. Do the data appear to come from a population where the mean difference is zero? **Data:** - **X:** 28, 35, 25, 25, 32, 30, 28, 37 - **Y:** 26, 31, 31, 25, 33, 35, 28, 33 **Options:** - a. No - b. - c. Yes - d. **Instructions:** Use the software JMP to perform a paired sample t-test. Compare each pair in the datasets X and Y to determine if their mean difference is statistically significantly different from zero. **Analysis:** 1. Identify paired differences by subtracting each element in Y from the corresponding element in X. 2. Calculate the mean and standard deviation of these differences. 3. Use JMP to compute the t-statistic for these differences. 4. Interpret the p-value to determine if the null hypothesis, that the mean difference is zero, can be rejected. **Conclusion:** Select the correct option (a, b, c, or d) based on your analysis to answer the question: Do the data appear to come from a population where the mean difference is zero?
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