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 50 52 56 53 Heart rate after 120 129 134 123 1 2 3 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.

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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
120
129
134
123
50
52
3
56
4
53
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.
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.
Estimate the difference in the mean heart rate by calculating a 90% confidence intervai
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.
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 120 129 134 123 50 52 3 56 4 53 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. 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. Estimate the difference in the mean heart rate by calculating a 90% confidence intervai 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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