Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. A researcher was interested in comparing the resting pulse rates of people who exercise regularly and the pulse rates of people who do not exercise regularly. She obtained independent simple random samples of 16 people who do not exercise regularly and 12 people who do exercise regularly. The resting pulse rates (in beats per minute) were recorded and the summary statistics are as follows. Do not exercise regularly Exercise regularly x1 72.3 beats/min x2 = 68.1 beats/min %3D %3D s1 = 10.9 beats/min s2 8.2 beats/min %3D %3D nį = 16 n2 = 12 %3D Construct a 95% confidence interval for mu1 - mu2, the difference between the mean pulse rate of people who do not exercise regularly and the mean pulse rate of people who exercise regularly. -3.22 beats/min < mu1 - mu2 < 11.62 beats/min -3.55 beats/min < mu1 - mu2 < 11.95 beats/min -3.74 beats/min < mu1 - mu2 < 12.14 beats/min 7 heats/min < mu1 - mu2 < 14,72 beats/min

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QUESTION 17
Construct the indicated confidence interval for the difference between the two
population means. Assume that the two samples are independent simple random
samples selected from normally distributed populations. Do not assume that the
population standard deviations are equal.
A researcher was interested in comparing the resting pulse rates of people who
exercise regularly and the pulse rates of people who do not exercise regularly. She
obtained independent simple random samples of 16 people who do not exercise
regularly and 12 people who do exercise regularly. The resting pulse rates (in beats
per minute) were recorded and the summary statistics are as follows.
Do not exercise regularly
Exercise regularly
x1 = 723 beats/min
x2 = 68.1 beats/min
%3D
s1 = 10.9 beats/min
s2 = 8.2 beats/min
ni = 16
n2 = 12
Construct a 95% confidence interval for mu1 - mu2, the difference between the mean
pulse rate of people who do not exercise regularly and the mean pulse rate of people
who exercise regularly.
-3.22 beats/min < mu1 - mu2 < 11.62 beats/min
-3.55 beats/min < mu1 - mu2 <11.95 beats/min
-3.74 beats/min < mu1 - mu2 < 12.14 beats/min
-4.12 beats/min < mu1 - mu2 < 14,72 beats/min
Transcribed Image Text:QUESTION 17 Construct the indicated confidence interval for the difference between the two population means. Assume that the two samples are independent simple random samples selected from normally distributed populations. Do not assume that the population standard deviations are equal. A researcher was interested in comparing the resting pulse rates of people who exercise regularly and the pulse rates of people who do not exercise regularly. She obtained independent simple random samples of 16 people who do not exercise regularly and 12 people who do exercise regularly. The resting pulse rates (in beats per minute) were recorded and the summary statistics are as follows. Do not exercise regularly Exercise regularly x1 = 723 beats/min x2 = 68.1 beats/min %3D s1 = 10.9 beats/min s2 = 8.2 beats/min ni = 16 n2 = 12 Construct a 95% confidence interval for mu1 - mu2, the difference between the mean pulse rate of people who do not exercise regularly and the mean pulse rate of people who exercise regularly. -3.22 beats/min < mu1 - mu2 < 11.62 beats/min -3.55 beats/min < mu1 - mu2 <11.95 beats/min -3.74 beats/min < mu1 - mu2 < 12.14 beats/min -4.12 beats/min < mu1 - mu2 < 14,72 beats/min
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