VI. Version B. Are male college students taller than female high school basketball players? (More formally, is the popul
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VI. Version B. Are male college students taller than female high school basketball players? (More formally, is the population mean height of male college students larger than the population mean height of female high school basketball players?) In the Fall of 2008, the Cleveland Plain Dealer identified 30 players to watch during the upcoming girls' high school basketball season. Although these 30 players are not a random sample of female high school basketball players, for this problem, consider their heights to be a random sample of heights of female high school basketball players. In Spring, 2006, 29 male students in a Psychology 101 course reported their heights. Although these 29 students are not a random sample of male college students, consider them to be a random sample for the purpose of this problem. (20 pts.-4/4/10/2) The stemplot below shows the distributions of heights, in inches, in the two samples and provides sample means and standard deviations. MALE COLLEGE STUDENTS (N = 29) Inches FEMALE HIGH SCHOOL BASKETBALL PLAYERS (N = 30) 5 6 6 3 5 6 455 7666 6 6667 988 6 888999 11110000000 7 00011 33222 7 222233 4444 7 44444 7 7 70.5 MEAN 69.6 2.9 SD 3.3 1) From the question being asked: (i) specify the null and alternative hypotheses that are being tested and (ii) define the us used in your hypotheses. (The hypotheses should be about two population means, and the form of your answers to ii should be "u is the population mean height of ", in which ยต has an identifying subscript and the blank is filled with the name of the population.) 2) You will calculate a t statistic. (i) Using Option 2 (Moore et al., The Basic Practice of Statistics) to determine degrees of freedom, indicate how many degrees of freedom are involved, and (ii) say whether the P value will be one-sided or two sided.
3) (i) Calculate the t statistic and (ii) find its P value. 4) With a = .01, decide whether to reject the null hypothesis. (At least say "Reject Ho" or Retain Ho"; additional explanation of your answer is optional.)