Question

Suppose that resting pulse rates for healthy adults are found to follow a Normal distribution, with a mean of 69 beats per minute and a standard deviation of 9.5 beats per minute. What does it mean if Bonnie has a pulse rate of 78.5 beats per minute?a. Bonnie's pulse rate, when converted to a standard score, would be 1.5.b. Bonnie's pulse rate is two standard deviations above the mean.c. Approximately 32% of adults have pulse rates higher than Bonnie's.d. Approximately 16% of adults have pulse rates higher than Bonnie's.

Answer 1

Answer:

Approximately 16% of adults have a pulse rate higher than bonnie'.

Step-by-step explanation:

A normal random variable with mean Mu = 69 and standard deviation sd = 9.5 is standardized with the transformation:

Z = (X - Mu) / sd = (X - 69) / 9.5

For a pulse rate value of 78.5, Z = (78.5 - 69) / 9.5 = 1.0

P (X <78.5) = P (Z <1.0) = 0.8413.

P (X> 78.5) = P (Z> 1.0) = 0.1587.

The standard score for the Bonnie's  pulse rate is 1.0.

Bonnie's  pulse rate is at the 1.0 standard deviations above the mean.

Approximately 16% of adults have a pulse rate higher than bonnie'.

Answer 2

Bonnie's pulse rate is at 1.0 standard deviations above the mean. Approximately 16% of adults have a pulse rate higher than Bonnie. Then the correct option is D.

What is normal a distribution?

It is also called the Gaussian Distribution. It is the most important continuous probability distribution. The curve looks like a bell, so it is also called a bell curve.

The mean is 69 and the standard deviation is 9.5. Then

$\rm Z = \dfrac{x - \mu }{\sigma } = \dfrac{x - 69}{9.5}$

For a pulse rate value of 78.5, Then the range will be

$\rm P(x < 78.5 ) = P (Z < 1.0) = 0.8413$

And

$\rm P(x > 78.5 ) = P (Z > 1.0) = 0.1587$

The standard score for Bonnie's pulse rate is 1.0.

Bonnie's pulse rate is at 1.0 standard deviations above the mean.

Approximately 16% of adults have a pulse rate higher than Bonnie.

More about the normal distribution link is given below.

https://brainly.com/question/13759327