91影视

The pulse rates of females are tabulated.

The mean female pulse rate is given as 74.0 beats per minute.

The standard deviation of the female pulse rate is given as 12.5 beats per minute.

The following is the expression of thez-score for a given data value (x):

$z=\frac{x-\stackrel{炉}{x}}{s}$

Here,$\stackrel{炉}{x}$ is the mean of the sample.

s is the standard deviation of the sample.

a.

The difference between the pulse rate of 36 beats per minute and the mean female pulse rate is computed as shown below:

$$\begin{gathered} x-\stackrel{炉}{x}=36-74 \\ =-38 \end{gathered}$$

Thus, the difference between the pulse rate of 36 beats per minute and the mean female pulse rate is equal to-38 beats per minute.

b.

The difference between the pulse rate of 36 beats per minute and the mean female pulse rateis computed using the z-score as shown below:

$$\begin{gathered} z=\frac{x-\stackrel{炉}{x}}{s} \\ =\frac{36-74}{12.5} \\ =-3.04 \end{gathered}$$

Therefore, the difference is3.04 standard deviations.

c.

The z-score for the given value is computed as shown below:

$$\begin{gathered} z=\frac{x-\stackrel{炉}{x}}{s} \\ =\frac{36-74}{12.5} \\ =-3.04 \end{gathered}$$

Here, the calculated value of the z-score is equal to -3.04.

d.

Since the z-score value is below -2, it can be said that the female pulse rate of 36 beats per minute is significantly low.