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Name: 4. A study examined the sense of direction of 30 male and 30 female st
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Description: 4. 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 to south, which tested their absolute frame of re

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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4. 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 to 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. Male Female Mean ?̅1 = 37.6 ?̅2 = 55.8 SD ?1 = 38.49 ?2 = 48.26

(a)Given the statistical summaries, test at the 1% significance level whether males on average have a better sense of direction than females

(b)What is the P-value of the hypothesis test in part (a)?

(c)Obtain a confidence interval for the difference between the mean absolute pointing errors for males and females corresponding to the hypothesis test in part (a)

(d)Interpret the confidence interval obtained in part (c). Does this interval support the conclusion of the hypothesis test in part (a)? Justify your answer.

4. 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 to south, which tested their
absolute frame of reference. The students pointed by moving a pointer
attached to a 360° protractor. Following are the absolute pointing errors, in
degrees, of the participants.
Male
Female
Male
Female
13
130
39
33
10
14
8
20
3
138
Mean
ĩ = 37.6
X2 = 55.8
13
68
18
3.
11
122
78
69
111
3
38
23
60
5
128
31
18
35
111
59
86
22
70
109
36
27
32
35
SD
s = 38.49 | s2 = 48.26
58
167
15
30
12
27
8.
80
20
67
26
19
91
68
66
176
15

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