A study examined the sense of direction of 30 male and 30 female students. After being taken to an unfamiliar wooded park, the students were given some spatial orientation tests, including pointing south, which tested their absolute frame of reference. The students pointed by moving a pointer attached to a 360o protractor. Following are the absolute pointing errors, in degrees, of the participants.

A studvir examined the sense of direction of 30 male and 30 female students. After being taken to on unfamiriar wooded put. the students were given some spatial orientation tests. including pohting south, which tested the: absolute frame of reference. The students painted by moving a pointer attached to a 360\" pratractar. Fallawhg cre the absolute panting errors. in degrees. of the participants. Hub Id 13 130 H 33 N 3 13' 38 13 a) 5 II 35 Ill so 5 l6 2: 21 32 as 31:35\" s,=4526 I. n 81' '2' 66 I16 I! (1:) Given the statistical summaries. test at the 1% signicmce level whether males have a better sense of diection than females. on average. (In) What is the P-value of the hypothesis test in part (a)? (c) Obtain and interpret a 98% hire-sided condence interval for the difference between the mean absolute painting errors far males and females. ' (1!) Does the interval in (:3 give evidence that an average. males and females differ in the sense of direction? Justify your