Question

1- To investigate whether there is gender bias in the initial screening of job applications for particular jobs, a random sample of fire department administrators was asked to evaluate a large number of job applications. Among the applications were applications that were identical except for the answer to the gender question. For those applications the following evaluations were given. Among all fire department administrators, do applications identified as representing a male applicant receive different scores on average than those representing a female? Because the sample is so small, assume that the populations of evaluation scores are normally distributed. Use alpha=.0

                               Male application      Female Application

          Administrator #1          15                       13

           Administrator #2          24                      20

          Administrator #3          24                      18

          Administrator #4          30                      20

           Administrator #5          21                      18

What is the null hypothesis?

2- To investigate whether there is gender bias in the initial screening of job applications for particular jobs, a random sample of fire department administrators was asked to evaluate a large number of job applications. Among the applications were two applications that were identical except for the answer to the gender question. For those applications the following evaluations were given. Among all fire department administrators, do applications identified as representing a male applicant receive different scores on average than those representing a female? Because the sample is so small, assume that the populations of evaluation scores are normally distributed. Use alpha=.05  

                               Male application      Female Application

          Administrator #1          15                       13

           Administrator #2          24                      20

          Administrator #3          24                      18

          Administrator #4          30                      20

           Administrator #5          21                      18

What is the alternative hypothesis

3- To investigate whether there is gender bias in the initial screening of job applications for particular jobs, a random sample of fire department administrators was asked to evaluate a large number of job applications. Among the applications were two applications that were identical except for the answer to the gender question. For those applications the following evaluations were given. Among all fire department administrators, do applications identified as representing a male applicant receive different scores on average than those representing a female? Because the sample is so small, assume that the populations of evaluation scores are normally distributed. Use alpha=.05  

                               Male application      Female Application

          Administrator #1          15                       13

           Administrator #2          24                      20

          Administrator #3          24                      18

          Administrator #4          30                      20

           Administrator #5          21                      18

What would the absolute value (without regard to signs)of the critical value be for this hypothesis test?

Answer 1