your first job is at a not-for-profit company that people who are looking for jobs come to for help in that effort.  You're assigned the task to evaluate the effectiveness of a new job training program that your employer is considering instituting. You decide to run a study in which job seekers are randomly assigned into two large groups.  Group A is the "control group," and they are given the standard preparation that has always been given -- a one-hour presentation of how to answer typical questions in an interview, how to dress, etc.  Group B is given a one-week workshop that goes into much greater detail about how to interview, including, for example, having them participate in a series of mock interviews.  Individuals in both groups are tracked and eventually all of them get jobs.  The time it took to acquire a job in both groups is normally distributed.  For Group A it took a mean of 25.0 days with a standard deviation of 4.0 days; for Group B it took a mean of 20.0 days with a standard deviation of 5.0 days. Your employer will judge the new job training program a success if it results in a greater percentage (than is the case in the control group) of job seekers who got a job within 28.0 days. (a)  Would you consider the new job training program a success, where, once again, success is defined solely by whether it results in a greater percentage (than is the case in the old program) of job seekers in Group B who got a job within 28.0 days than was the case in Group A?   (b)  If Group B job seekers who took over 30.0 days to get a job are eligible for a special program designed to help them *keep* their jobs, then what percentage of all people in Group B would be eligible for such a program (to 1 decimal place, as in 74.3%)?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section: Chapter Questions
Problem 13PT
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your first job is at a not-for-profit company that people who are looking for jobs come to for help in that effort.  You're assigned the task to evaluate the effectiveness of a new job training program that your employer is considering instituting.

You decide to run a study in which job seekers are randomly assigned into two large groups.  Group A is the "control group," and they are given the standard preparation that has always been given -- a one-hour presentation of how to answer typical questions in an interview, how to dress, etc.  Group B is given a one-week workshop that goes into much greater detail about how to interview, including, for example, having them participate in a series of mock interviews. 

Individuals in both groups are tracked and eventually all of them get jobs.  The time it took to acquire a job in both groups is normally distributed.  For Group A it took a mean of 25.0 days with a standard deviation of 4.0 days; for Group B it took a mean of 20.0 days with a standard deviation of 5.0 days.

Your employer will judge the new job training program a success if it results in a greater percentage (than is the case in the control group) of job seekers who got a job within 28.0 days.

(a)  Would you consider the new job training program a success, where, once again, success is defined solely by whether it results in a greater percentage (than is the case in the old program) of job seekers in Group B who got a job within 28.0 days than was the case in Group A?  

(b)  If Group B job seekers who took over 30.0 days to get a job are eligible for a special program designed to help them *keep* their jobs, then what percentage of all people in Group B would be eligible for such a program (to 1 decimal place, as in 74.3%)?  

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