Question

Assume that pulse rates of men follow a bell-shaped (normal) distribution with a mean of 74 beats per minute and a standard deviation of 12 beats per minute.
a.	Based upon the Empirical Rule, give an interval that contains about 95% of all such pulse rates.
b.	What would be the z-score (standard score) of an individual with a pulse rate of 56 beats per minute?
c.	If the z-score (basic standardized score) of an individual was stated to be 1.25, what would be his pulse rate?

How would this be answered using excel and formulas

Answer 1

Assume that pulse rates of men follow a bell-shaped (normal) distribution with a mean of 74 beats per minute and a standard deviation of 12 beats per minute. That is .

a) The 68-95-99.7 rule (Empirical rule) states that 95% of pulse rates lies within 2 standard deviations of mean.

Thus, the interval is

b) The z-score is given by . Corresponding to , the z-score is

c) Given that . The corresponding pulse rate is

There is no need of EXCEL. No need of even a calculator.