d) What does this interval suggest about any genderbased difference in manual agility? O A. With 99% condence, the mean number of pegs placed by males is greater than the mean number of pegs placed by females by an amount in the interval. 0 3. With 99% condence, the mean number of pegs placed by females is greater than the mean number of pegs placed by males by an amount in the interval. 0 c. With 99% condence, there is no difference in the mean number of pegs placed by males and females. 9) The two results seem contradictory. Which method is correct: doing two-sample inference, or doing one-sample inference twice? O onesample inference twice 0 two-sample inference f) Why don't the results agree? 0 A. Using two different condence intervals adds the standard deviations instead of the variances. The two-sample difference of means procedure takes this into account. 0 3. Using two different condence intervals adds the variances instead of the standard deviations. The two-sample difference of means procedure takes this into account. 0 C. The two-sample difference of means procedure adds the variances instead of the standard deviations. Using two different condence intervals takes this into account. 0 D. The two-sample difference of means procedure adds the standard deviations instead of the variances. Using two different condence intervals takes this into account. StatCrunch Tech Help (9 Time Remaining: 01:28:58 m Z: M9-Ch14 Quiz Question 3 This Quiz: 10 pts possible (9') Submit Quiz Male Female Afactory hiring people to work on an assembly line gives job applicants a test of manual agility. This test counts how many Number of subjects 40 40 strangely shaped pegs the applicant can t into matching holes in a one-minute period. The table to the right summaries the data by gender of the job applicant. Assume that all conditions necessary for inference are met. Complete parts a through f. a) Find 99% condence intervals for the average number of pegs that males and females can each place. A The 99% condence interval for males is ( , ). (Round to two decimal places as needed.) The 99% condence interval for females is (|:|,l:|). (Round to two decimal places as needed.) b) If those intervals overlap, what does this suggest about any gender-based difference in manual agility? O A. It may appear to suggest that there is a difference in the mean number of pegs placed by males and females, but a two-sample t-interval should be constructed to assess the difference in mean number of pegs placed. 0 B. The intervals do not overlap. O C. It may appear to suggest that there is no difference in the mean number of pegs placed by males and females, but a two-sample t-interval should be constructed to assess the difference in mean number of pegs placed. c) Find a 99% confidence interval for the difference in the mean number of pegs that could be placed by men and women. The 99% condence interval for the difference Pmen Pwomen is ( , ). (Round to two decimal places as needed.) d) What does this interval suggest about any gender-based difference in manual agility? StatCrunch Tech Help (9 Time Remaining: 01:29:10 m . 4