You are a researcher conducting a study on students at PVL University. To undertake this study you prepared a questionnaire to collect data from your respondents. You decided to conduct a sample survey from the population of students at PVL. From your observation and prior research it was noted that PVL has approximately 4500 students enrolled. However, for this analysis you are interested in the number of students enrolled who are also employed on campus. Based on the information receive,d currently there are 120 students employed as student workers in all departments on campus. From the population of student workers, you are required to sample 45 student workers. Question 3 Question 12 of the questionnaire asked the students to disclose their weekly student labor wage within the last month, for all student workers on campus. After considering the data from the 45 students surveyed, you calculated the mean weekly income of a student worker to be $350.00 weekly with a standard deviation of $25.00   a) Calculate μ   b) According to the Finance department of PVL, the average wage of a student worker is $365.00. however, you the researcher wanted to find out if the mean wage is different from $365.00. the population standard deviation given by PVL for all students was $30. assume that the wage of all student workers in the University have a normal distribution. Using the 5% significance level, can you conclude that the Finance department’s claim is false?: i. Perform a test of hypothesis using the p-Value approach – 4steps ii. perform a test of hypothesis using the critical-Value approach – 5 steps

MATLAB: An Introduction with Applications
6th Edition
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Author:Amos Gilat
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You are a researcher conducting a study on students at PVL University. To undertake this study you prepared a questionnaire to collect data from your respondents. You decided to conduct a sample survey from the population of students at PVL. From your observation and prior research it was noted that PVL has approximately 4500 students enrolled. However, for this analysis you are interested in the number of students enrolled who are also employed on campus. Based on the information receive,d currently there are 120 students employed as student workers in all departments on campus. From the population of student workers, you are required to sample 45 student workers.

Question 3

Question 12 of the questionnaire asked the students to disclose their weekly student labor wage within the last month, for all student workers on campus. After considering the data from the 45 students surveyed, you calculated the mean weekly income of a student worker to be $350.00 weekly with a standard deviation of $25.00

 

a) Calculate μ

 

b) According to the Finance department of PVL, the average wage of a student worker is $365.00. however, you the researcher wanted to find out if the mean wage is different from $365.00. the population standard deviation given by PVL for all students was $30. assume that the wage of all student workers in the University have a normal distribution. Using the 5% significance level, can you conclude that the Finance department’s claim is false?:

i. Perform a test of hypothesis using the p-Value approach – 4steps

ii. perform a test of hypothesis using the critical-Value approach – 5 steps

 

 

 

 

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