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 underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) Part (c) Part (d) State the distribution to use for the test. (Enter your answer in the form z or far where df is the degrees of freedom.) Part (e) Jumping time (seconds) 20 43 29 21 25 43 35 32 What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) ---Select-- = Part (f) What is the p-value? O p-value < 0.010 O 0.010 < p-value < 0.050 O 0.050 < p-value < 0.100 O p-value > 0.100 Explain what the p-value means for this problem. O If Ho is true, then there is a chance equal to the p-value that the sample average difference between jumping times and relaxed times is between -1.625 and 1.625. O If Ho is false, then there is a chance equal to the p-value that the sample average difference between jumping times and relaxed times is -1.625 or less OR 1.625 or more. O If Ho is false, then there is a chance equal to the p-value that the sample average difference between jumping times and relaxed times is between -1.625 and 1.625. O If Ho is true, then there is a chance equal to the p-value that the sample average difference between jumping times and relaxed times is -1.625 or less OR 1.625 or more.
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 underlying population is normally distributed. (In general, you must first prove that assumption, though.) Part (a) Part (b) Part (c) Part (d) State the distribution to use for the test. (Enter your answer in the form z or far where df is the degrees of freedom.) Part (e) Jumping time (seconds) 20 43 29 21 25 43 35 32 What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.) ---Select-- = Part (f) What is the p-value? O p-value < 0.010 O 0.010 < p-value < 0.050 O 0.050 < p-value < 0.100 O p-value > 0.100 Explain what the p-value means for this problem. O If Ho is true, then there is a chance equal to the p-value that the sample average difference between jumping times and relaxed times is between -1.625 and 1.625. O If Ho is false, then there is a chance equal to the p-value that the sample average difference between jumping times and relaxed times is -1.625 or less OR 1.625 or more. O If Ho is false, then there is a chance equal to the p-value that the sample average difference between jumping times and relaxed times is between -1.625 and 1.625. O If Ho is true, then there is a chance equal to the p-value that the sample average difference between jumping times and relaxed times is -1.625 or less OR 1.625 or more.
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 underlying population is normally distributed. (In
general, you must first prove that assumption, though.)
Part (a)
Part (b)
Part (c)
Part (d)
State the distribution to use for the test. (Enter your answer in the form z or tof where df is the degrees of freedom.)
Part (e)
What is the test statistic? (If using the z distribution round your answer to two decimal places, and if using the t distribution round your answer to three decimal places.)
---Select--- =
Part (f)
What is the p-value?
O p-value < 0.010
O 0.010 < p-value < 0.050
Jumping time (seconds)
20
43
29
21
25
43
35
32
0.050 <p-value < 0.100
O p-value > 0.100
Explain what the p-value means for this problem.
O If Ho is true, then there is a chance equal to the p-value that the sample average difference between jumping times and relaxed times is between -1.625 and 1.625.
O If Ho is false, then there is a chance equal to the p-value that the sample average difference between jumping times and relaxed times is -1.625 or less OR 1.625 or more.
O If Ho is false, then there is a chance equal to the p-value that the sample average difference between jumping times and relaxed times is between -1.625 and 1.625.
If Ho is true, then there is a chance equal to the p-value that the sample average difference between jumping times and relaxed times is -1.625 or less OR 1.625 or more.
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