Question

For a data set of the pulse rates for a sample of adult​ females, the lowest pulse rate is 32 beats per​ minute, the mean of the listed pulse rates is x overbarequals74.0 beats per​ minute, and their standard deviation is sequals14.8 beats per minute. a. What is the difference between the pulse rate of 32 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 32 beats per minutes to a z score. d. If we consider pulse rates that convert to z scores between minus2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 32 beats per minute​ significant?

Answer 1

Answer:

The lowest pulse rate is 32 beats per​ minute

$\bar {x}=74$

s= 14.8

a) What is the difference between the pulse rate of 32 beats per minute and the mean pulse rate of the​ females?

= 74- 32

= 42

b) How many standard deviations is that​ [the difference found in part​ (a)]

$= \frac{difference }{s} = \frac{42}{14.8}=2.8378$

c) Convert the pulse rate of 32 beats per minutes to a z score.

$z=\frac{32-74}{14.8}\\z=-3.07$

d) If we consider pulse rates that convert to z scores between minus2 and 2 to be neither significantly low nor significantly​ high, is the pulse rate of 32 beats per minute​ significant?

Since z = - 3.07

Hence pulse rate is significantly low