Question

Provide an appropriate response. 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 who do not exercise regularly and 12 people aged who do exercise regularly. The resting pulse rate (in beats per minute) of each person was recorded. The summary statistics were as follows.

Do Not Exercise: x1= 73.0, s1=10.3, n1=16

Do Exercise: x2=69.9, s2=8.2, n2= 12

The researcher used a pooled t-interval procedure to obtain a 90% confidence interval for the difference between the mean pulse rate of people who do not exercise regularly and the mean pulse rate of people who exercise regularly. The 90% confidence interval was found to be . Interpret this confidence interval.

Answer 1

Confidence interval is :-

Lower Limit =
Lower Limit = -3.0673
Upper Limit =
Upper Limit = 9.2673
90% Confidence Interval is ( -3.0673 , 9.2673 )

We are 90% confident that the mean difference between the mean pulse rate of people who do not exercise regularly and the mean pulse rate of people who exercise regularly lies in the interval ( -3.0673 , 9.2673 ).

Since the value 0 lies in the interval, we can conclude that there is no difference in the the mean pulse rate of people who do not exercise regularly and the mean pulse rate of people who exercise regularly.