Question

For a data set of the pulse rates for a sample of adult​ females, the lowest pulse rate is 37 beats per​ minute, the mean of the listed pulse rates is x=71.0 beats per​ minute, and their standard deviation is s=18.2 beats per minute. a. What is the difference between the pulse rate of 37 beats per minute and the mean pulse rate of the​ females? b. How many standard deviations is that​ [the difference found in part​ (a)]? c. Convert the pulse rate of 37 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between −2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 37 beats per minute​ significant?

Answer 1

See below.

Explanation:

(a) Difference = 71 - 37 = 34 beats/minute.

(b) Number of standard deviations = 34 /18.2 = 1.868.

(c) z score = (x - m )/ s where m = mean and s = standard deviation

= (37 - 71) / 18.2 = -1.868.

(d) This z score lies between -2 and 2 so a pulse rate of 37 is not significant.