You are testing the null hypothesis that mu = 0 versus the alternative mu > 0 us

Question

You are testing the null hypothesis that mu = 0 versus the alternative mu > 0 using alpha = .05. Assume sigma = 20. Suppose x = 4.7 and n = 13. Calculate the test statistic and its P-value. Repeat assuming the same for sample value of x with n = 23. Do the same for samples sizes of 33, 43, and 53. (Round the test statistic to two decimal places. Round the P-value to four decimal places.) Pot the values of the test statistics versus the sample size. Do the same for the P-value. (Do this on paper. Your instructor may ask you to turn this in.) Summarize what this demonstration shows about the effect of the sample size on significance testing. As sample size increases, a test becomes more significant. As sample size increases, a test becomes less significant. As sample size increases, there is no effect on the significance. As sample size decreases, a test becomes more significant.

Explanation / Answer

b) From above analysis we conclude that if sample size is increses then the z value will be increased then p value will be decresed hence it becomes more significant

sample size z P value 13 0.847305 0.198413 23 1.12702 0.129867 33 1.349972 0.088512 43 1.540998 0.061659 53 1.710826 0.043557

Related Questions

Navigate

• Browse (All)
• Browse Y
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.