A researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise regularly. Independent simple random samples were obtained of 16 people aged 30-40 who do not exercise regularly and 12 people aged 30-40 who do exercise regularly. The resting pulse rate (in beats per minute) of each person was recorded. The summary statistics are as follows. Summary Statistics Do Not Exercise Do Exercise Sample Mean 72.7 69.4 Sample Standard Deviation (s) 10.0 9.0 Sample Size 16 12 Assuming that the populations are normally distributed and the population standard deviations are equal, test at the 5% significance level if there is any difference between the mean pulse rate of people who do not exercise regularly and the mean pulse rate of people who exercise regularly.
(Q2). A researcher was interested in comparing the resting pulse rates of people who exercise regularly and people who do not exercise regularly. Independent simple random samples were obtained of 16 people aged 30-40 who do not exercise regularly and 12 people aged 30-40 who do exercise regularly. The resting pulse rate (in beats per minute) of each person was recorded. The summary statistics are as follows.
Summary Statistics |
Do Not Exercise |
Do Exercise |
Sample Mean |
72.7 |
69.4 |
Sample Standard Deviation (s) |
10.0 |
9.0 |
|
16 |
12 |
Assuming that the populations are
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