A factory hiring people for tasks on its assembly line gives applicants a test of manual dexterity. This test counts how many oddly shaped parts the applicant can install on a model engine in a one-minute period. Assume that those tested applicants represent simple random samples of men and women who apply for those jobs. Complete parts (a) through ). 33 Click the icon to view the table of gender and number of parts installed on the more recente a mode enguo na (a) Find the 95% confidence interval for the expected number of parts that men and women can install during a one-minute period. The 95% confidence interval for the expected number of parts that men can installis The 95% confidence interval for the expected number of parts that women can install is ( (Round to two decimal places as needed.)
Male 30 Male 23 Female 36
Male 23 Male 28 Female 25
Male 22 Male 25 Female 18
Male 35 Male 28 Female 34
Male 17 Male 23 Female 41
Male 22 Male 26 Female 28
Male 35 Male 18 Female 21
Male 17 Male 19 Female 29
Male 22 Male 19 Female 31
Male 36 Male 12 Female 24
Male 24 Male 23 Female 31
Male 26 Male 25 Female 28
Male 27 Male 23 Female 28
Male 18 Male 21 Female 12
Male 27 Female 36 Female 34
(b) These data are counts, and hence cannot be negative or fractions. How can we use the normal model in this situation? (c) Your intervals in part (a) should overlap. What does it mean that the intervals overlap? (d) Find the 95% confidence interval for the difference Hmen - Mwomen- (e) Does the interval found in part (d) suggest a different conclusion about #men - Mwomen than the use of two separate intervals? (f) Which procedure is the right one to use if we're interested in making an inference about Hmen - Mwomen?