At Rachel's 11th birthday party, 8 girls were timed to see how long (in seconds) they could hold their breath in a relaxed position. After a two-minute rest, they timed themselves while jumping. The girls thought that the mean difference between their jumping and relaxed times would be zero. Test their hypothesis at the 5% level. Part (a) 29 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the null hypothesis. Ho: Md 20 Ho: Md ≤0 Ho: Md=0 Ho: Md #0 Part (b) Relaxed time (seconds) 29 48 28 22 23 45 37 State the alternative hypothesis. Ha: Md > 0 Ha: Md <0 Ha: Md = 0 O Ha: Md #0 Part (c) Jumping time (seconds) 20 43 29 21 25 43 35 32 In words, state what your random variable Xd represents. Xd represents the average difference in the length of time each girl can hold her breath. O X represents the difference in time for each girl to hold her breath while relaxed and while jumping. O X represents the difference in the average amount of time a girl can hold her breath while relaxed and while jumping. O X represents the amount of time each girl can hold her breath.
At Rachel's 11th birthday party, 8 girls were timed to see how long (in seconds) they could hold their breath in a relaxed position. After a two-minute rest, they timed themselves while jumping. The girls thought that the mean difference between their jumping and relaxed times would be zero. Test their hypothesis at the 5% level. Part (a) 29 NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlying population is normally distributed. (In general, you must first prove that assumption, though.) State the null hypothesis. Ho: Md 20 Ho: Md ≤0 Ho: Md=0 Ho: Md #0 Part (b) Relaxed time (seconds) 29 48 28 22 23 45 37 State the alternative hypothesis. Ha: Md > 0 Ha: Md <0 Ha: Md = 0 O Ha: Md #0 Part (c) Jumping time (seconds) 20 43 29 21 25 43 35 32 In words, state what your random variable Xd represents. Xd represents the average difference in the length of time each girl can hold her breath. O X represents the difference in time for each girl to hold her breath while relaxed and while jumping. O X represents the difference in the average amount of time a girl can hold her breath while relaxed and while jumping. O X represents the amount of time each girl can hold her breath.
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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Transcribed Image Text:At Rachel's 11th birthday party, 8 girls were timed to see how long (in seconds) they could hold their breath in a relaxed
position. After a two-minute rest, they timed themselves while jumping. The girls thought that the mean difference between
their jumping and relaxed times would be zero. Test their hypothesis at the 5% level.
Relaxed time (seconds)
29
48
28
22
23
45
37
29
NOTE: If you are using a Student's t-distribution for the problem, including for paired data, you may assume that the underlyin
population is normally distributed. (In general, you must first prove that assumption, though.)
Part (a)
State the null hypothesis.
O Ho: Md ²0
O Ho: Md ≤0
Ho: Md = 0
O Ho: Md #0
Part (b)
State the alternative hypothesis.
ⒸH₂: Md > 0
O Ha: Md <0
○ Ha: Md = 0
O Ha: Md #0
Part (c)
Jumping time (seconds)
20
43
29
21
25
43
35
32
In words, state what your random variable X represents.
O X represents the average difference in the length of time each girl can hold her breath.
O X represents the difference in time for each girl to hold her breath while relaxed and while jumping.
O X
represents the difference in the average amount of time a girl can hold her breath while relaxed and while jumping.
O X represents the amount of time each girl can hold her breath.
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