Which of the equations below is the proper way to calculate the test statistic for the above hypothesis test?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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Question
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The data below displays heights (in inches) of a random sample of students and their parent of the same sex.
Student (s)
|70 65 68
63 72 71
Parent (p)
65 67 64 63 70 66
Difference (s-p)
5
-2
4 0
2
The sample mean for the difference between student and parent heights is Xp = 2.33 and the sample standard deviation for the difference between student and parent heights is sp = 2.88. Assume the distribution
of the differences is Normal.
Which of the equations below is the proper way to calculate the test statistic for the above hypothesis test?
Oa.
2.33 -0
2.88
V5
Ob.
2.33-0
t 3=
2.88
2.33 -0
2.88
Od.
2.33 -0
2.88
6.
Transcribed Image Text:The data below displays heights (in inches) of a random sample of students and their parent of the same sex. Student (s) |70 65 68 63 72 71 Parent (p) 65 67 64 63 70 66 Difference (s-p) 5 -2 4 0 2 The sample mean for the difference between student and parent heights is Xp = 2.33 and the sample standard deviation for the difference between student and parent heights is sp = 2.88. Assume the distribution of the differences is Normal. Which of the equations below is the proper way to calculate the test statistic for the above hypothesis test? Oa. 2.33 -0 2.88 V5 Ob. 2.33-0 t 3= 2.88 2.33 -0 2.88 Od. 2.33 -0 2.88 6.
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