Step 2: Which of the following represents the critical region for this mentioned sample O t= +2.31 O t= 2.31 O t= -2.31 O t= 0.05

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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34-

A researcher is testing the effect of a new flu vaccine on absenteeism from work. A sample of \( n = 9 \) employees are randomly selected from the normally distributed population and given the vaccine; then, the researcher measures how many times they were absent in the subsequent year. If the mean number of absences in the entire organization (i.e., in the population) are 4 per year, can the researcher conclude that the vaccine had an impact on absenteeism, and if so, how large was the effect? Use an \(\alpha\) of 0.05. Be sure to show all 5 steps.

Absences: 2, 3, 2, 1, 5, 4, 2, 1, 2

Step 1: Which of the following correctly represents the null and alternative hypothesis for the mentioned sample.
Transcribed Image Text:A researcher is testing the effect of a new flu vaccine on absenteeism from work. A sample of \( n = 9 \) employees are randomly selected from the normally distributed population and given the vaccine; then, the researcher measures how many times they were absent in the subsequent year. If the mean number of absences in the entire organization (i.e., in the population) are 4 per year, can the researcher conclude that the vaccine had an impact on absenteeism, and if so, how large was the effect? Use an \(\alpha\) of 0.05. Be sure to show all 5 steps. Absences: 2, 3, 2, 1, 5, 4, 2, 1, 2 Step 1: Which of the following correctly represents the null and alternative hypothesis for the mentioned sample.
**Step 2:** Which of the following represents the critical region for this mentioned sample?

- ○ t = ±2.31
- ○ t = 2.31
- ○ t = -2.31
- ○ t = 0.05

This step involves selecting the appropriate critical region from the provided options. The context suggests that these values relate to a statistical test, potentially a t-test. The critical region is where the test statistic falls to reject the null hypothesis.
Transcribed Image Text:**Step 2:** Which of the following represents the critical region for this mentioned sample? - ○ t = ±2.31 - ○ t = 2.31 - ○ t = -2.31 - ○ t = 0.05 This step involves selecting the appropriate critical region from the provided options. The context suggests that these values relate to a statistical test, potentially a t-test. The critical region is where the test statistic falls to reject the null hypothesis.
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