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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.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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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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.
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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