Given this data from a software company that tests programming ability: u=160 in

Question

Given this data from a software company that tests programming ability: u=160 in the past, however 25 applicants (n=25) were tested and their mean was 183 (line segment x=183), with a S=12. At 05 level of significance, test whether this mean score is significantly greater than 160. Conduct a hypothesis test. The manager of a pizza parlor claims his employees make an average of 4.50 per hour with a standard deviation S=.75. Bob does not believe his claim, so he takes a sample of 51 employees and finds their average salary to be 4.25. If Bob wants to be over 97% correct (i.e. alpha=.025), does he have grounds that employees earn less than 4.50 per hour?

Explanation / Answer

18) Perform 1-sampl et test.

t=(xbar-mu)/(s/sqrt n)

=(183-160)/(12/sqrt 25)

=9.58

p value is 0.0000.

P value less than alpha=0.05. Reject H0 and cconclude that mean score is significntly greater than 160.

19) Compute 1-sample Z test.

Z=(xbar-mu)/(s/sqrt n-1)

=(4.25-4.50)/(0.75/sqrt 50)

=-2.36

p value is 0.0091.

p value is less than alpha=0.025. Reject H0 to cocnclud ethat he has grounds to say employees earn less tha 4.50 per hour.

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