Question

In what follows use any of the following tests/procedures: Regression, confidence intervals, one-sided t-test, or two-sided t-test. All the procedures should be done with 5% P-value or 95% confidence interval.

**Open** the PreLaw_Nursing data.
https://www.limes.one/Content/DataFiles/PreLaw_Nursing.txt

**SETUP**: The data contain the salaries for 25
people whose college majors were either Pre-law or Nursing.
Question: Do these two majors have different salaries?

**9. What test/procedure did you perform?**

- a. One-sided t-test
- b. Two-sided t-test
- c. Regression
- d. Confidence interval

**10. What is the P-value/margin of error?**

- a. 0.000629
- b. 1.889037
- c. 1.500706
- d. 0.528567
- e. None of these

**11. Statistical interpretation**

- a. The 95% confidence interval is [35.95, 39.72].
- b. The 95% confidence interval is [40.85, 43.86].
- c. Since the
*P*-value is too large, we cannot claim that there is connection between two variables. - d. Since the
*P*-value is small, we can claim that there is connection between two variables. - e. None of these.

**12. Conclusion**

- a. Yes, I am confident that the salaries are different.
- b. No, I cannot claim that the salaries are different.

Answer #1

9. What test/procedure did you perform?

-----> b. Two-sided t-test

Because here we want find these two majors have different salaries that why we need use two sided sample T-test here .

10. What is the P-value/margin of error?

-------> a. 0.000629

Using Minitab

One-Sample T: PreLaw/Nursing

Test of μ = 0 vs ≠ 0

Variable N Mean StDev SE Mean 95% CI T P-Value

PreLaw/Nursing 50 40.100 4.875 0.689 (38.715, 41.485) 58.16 0.000

11. Statistical interpretation a

d. Since the P-value is small, we can claim that there is connection between two variables

12. Conclusion

a. Yes, I am confident that the salaries are different. Because here P-value is less than 0.05 so we reject the null hypothsis but we accept the alternative hypothesis .

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