If its possible, can you please use the program R to solve this problem and post

Question

If its possible, can you please use the program R to solve this problem and post the formula you used to get the answer on R? Thank you!

Below is a table of pulse rates of women who drink alcohol after running for one minute. The mean pulse rate for a women who does not drink alcohol after running for one minute is 97 beats per minute (bpm). Is there significant evidence to state that the average pulse rate of women who drink alcohol after running for one minute is higher than the average pulse rate of women who do not drink after running for one minute? Test at the 5% significance level.

165 149 133 129 116 107 103 98 95 93 93 90 89 77

Explanation / Answer

Ho : Mean pulse rate for women who drink alchohol after running for one minute is equal to mean pulse rate for a women who does not drink alcohol, which, is 97 beats per minute (bpm) . = 97 bpm

Ha : Mean pulse rate for women whodrink alchohol after running for one minute is greater than the mean pulse rate for a women who does not drink alcohol, which, is 97 beats per minute (bpm) . > 97 bpm

AVerage of the sample xbar = 109.7857

Standard deviation of sample s = 25.43

Here test statistic

t = (xbar - H )/ (s/n)

t = (109.79 - 97)/ (25.43/ 14)

t = 12.79/ 6.7964 = 1.88

so here, dF = 14-1 = 13 and significanre level = 0.05 for one direction

tcrt = 1.771

so here t > tcritical , so we will reject the null hypothesis and conclude that Mean pulse rate for women whodrink alchohol after running for one minute is greater than the mean pulse rate for a women who does not drink alcohol, which, is 97 beats per minute (bpm) .

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