Question

It has been hypothesized that the mean pulse rate for college students is about 72 beats per minute. A sample of university students recorded their sexes and pulse rates. Assume that the samples are representative of all university men and women for pulse rate measurements. The summary statistics were the following.

Sex	n	Mean	StDev
Female	35	76.7	11.6
Male	57	70.42	9.95

(a) Test whether the pulse rates of all university men have a mean of 72.
Conclude that mean male pulse rate is  ? not significantly significantly different from 72.

(b) Test whether the pulse rates of all university women have a mean of 72.
Conclude that mean female pulse rate is  ? not significantly significantly different from 72.

(c) Write a sentence or two summarizing the results of parts (a) and (b) in words that would be understood by someone with no training in statistics.
The data  ? provide do not provide evidence that the mean pulse rate of university women is significantly different from 72 beats per minute.
The data  ? provide do not provide evidence that the mean pulse rate of university men is significantly different from 72 beats per minute.

Answer 1

Ans:

Assume alpha=0.05

critical z values=+/-1.96

a)

Test statistic:

z=(70.42-72)/(9.95/SQRT(57))

z=-1.20

Fail to reject H0.

We can conclude that mean male pulse rate is not significantly different from 72.

b)

Test statistic:

z=(76.7-72)/(11.6/SQRT(35))

z=2.40

Reject H0.

We can conclude that mean female pulse rate is significantly different from 72.

c)

The data provide evidence that the mean pulse rate of university women is significantly different from 72 beats per minute.

The data do not provide evidence that the mean pulse rate of university men is significantly different from 72 beats per minute.