The heart rates before and after running a race (in beats per minute) of a sample of four athletes are shown in the following table: Heart rate after Heart rate before 50 52 56 53 Athlete 1 120 3 4 129 134 123 The aim of the experiment was to determine whether the population mean heart rate after a race is more than 70 beats per minute greater than before the race. Use the appropriate hypotheses test to determine whether the population mean heart rate after a race is more than 70 beats per minute greater than before the race. Use a = 0.05 and also find the approximate p-value. Also mention any assumptions made. 1.4 1.5 Using your answer in 1.4), comment on whether you are subject to a Type I or a Type II| error. Describe this error in the context of this problem. 1.6 Estimate the difference in the mean heart rate by calculating a 90% confidence interval for the data. Use this result to determine whether the population mean heart rate after a race is more than 70 beats per minute greater than before the race.
The heart rates before and after running a race (in beats per minute) of a sample of four athletes are shown in the following table: Heart rate after Heart rate before 50 52 56 53 Athlete 1 120 3 4 129 134 123 The aim of the experiment was to determine whether the population mean heart rate after a race is more than 70 beats per minute greater than before the race. Use the appropriate hypotheses test to determine whether the population mean heart rate after a race is more than 70 beats per minute greater than before the race. Use a = 0.05 and also find the approximate p-value. Also mention any assumptions made. 1.4 1.5 Using your answer in 1.4), comment on whether you are subject to a Type I or a Type II| error. Describe this error in the context of this problem. 1.6 Estimate the difference in the mean heart rate by calculating a 90% confidence interval for the data. Use this result to determine whether the population mean heart rate after a race is more than 70 beats per minute greater than before the race.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.1: Measures Of Center
Problem 9PPS
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Transcribed Image Text:The heart rates before and after running a race (in beats per minute) of a sample of four athletes
are shown in the following table:
Athlete
Heart rate before
Heart rate after
1
50
120
52
129
134
123
2
3
56
53
4
The aim of the experiment was to determine whether the population mean heart rate after a race
is more than 70 beats per minute greater than before the race.
1.4 Use the appropriate hypotheses test to determine whether the population mean heart rate
after a race is more than 70 beats per minute greater than before the race. Use a =
0.05 and also find the approximate p-value. Also mention any assumptions made.
1.5 Using your answer in 1.4), comment on whether you are subject to a Type I or a Type II
error. Describe this error in the context of this problem.
1.6 Estimate the difference in the mean heart rate by calculating a 90% confidence interval
for the data. Use this result to determine whether the population mean heart rate after a
race is more than 70 beats per minute greater than before the race.
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