Question

HW+#10 HW #10 - Chapter 19 (20pts for turned in on time) There are two types of INFERENCES about the populations, Confidence intervals and hypothesis test. 2 sample t test is a very common statistical tool when you want to compare two population means. For any hypothesis test, you will always have the same 5 steps in procedures: (1) State hypothesis (2) State rejection rule (3) Calculate statistic and find p value (4) Apply rejection rule and (5) Conclusion. Please make sure your test procedure has all 5 steps required for the homework. ***Make sure to understand the different scenarios for pairedt test and two-sample t test*** 1. 9pts) So far, we have learned different t hypothesis tests: one sample t test, pairedt test, and two sample t test. The hypotheses format will be different among them. Connect the hypotheses to their corresponding test procedures. HO: 25 Ha:<25 Two sample t test Ho: Hair=0 Ha: Hair > One sample t test Ho: HH2O Ha: H2H2O Paired t test 2. (Spts) A Math Recap workshop is provided to the first-year students coming to NMSU. To evaluate the workshop effectiveness, a study is conducted as following. 20 students with similar math background are randomly selected for the study, and they are given a test before they attend the workshop, as well as a similar but different test after they attend the workshop. After the data are collected from the study, you are asked to analyze the data. Which of the following inferences will you choose to analyze the data? A. One sample Z test B. One sample t test C. Pairedt test D. Two sample t test 3. (Spts A Math Recap workshop is provided to the first-year students coming to NMSU. TO evaluate the workshop effectiveness, a study is conducted as following. 20 students with similar math background are randomly selected for the study of the 20 students, 10 of them are randomly selected to attend the workshop, and the other 10 students will not be attending the workshop. A test was then given to all 20 students. After the data are collected from the study. you are asked to analyze the data. Which of the following inferences will you choose to analyze the data? A. One sample Z test B. One sample t test C. Paired t test D. Two sample t test

Answer 1

1)   H₀: $\mu$ = 25     H₁: $\mu$ < 25             One sample t test

H₀: $\mu_{diff}$ = 0    H₁: $\mu_{diff}$ > 0 Paired t test

      H₀:
ul-2
= 0     H₁:
ul-2
> 0         two sample t test

2) Option - C) Paired t test

3) Option - D) Two sample t test