The average annual salary for a group of occupational therapists was $65,000, with a standard deviation of 7,000. Ginny earns $4

Question

iren2701 [21]

2 years ago

8

The average annual salary for a group of occupational therapists was $65,000, with a standard deviation of 7,000. Ginny earns $4

4,000 per year, as an occupational therapist. What percentage of occupational therapists earn more per year than Ginny

Social Studies

1 answer:

Aleksandr-060686 [28] · Answer 1 · 2023-07-28T01:07:51+03:00

The percentage of occupational therapists that earn more per year than Ginny is equal to 99.87%.

<h3>How to determine the percentage?</h3>

In order to determine the percentage of occupational therapists that earn more per year than Ginny, we would calculate the z-score by using the following formula:

Z = (x - u)/σ

<u>Where:</u>

x is the sample mean.

u is the mean.

σ is the standard deviation.

Substituting the given parameters into the formula, we have;

Z = (44,000 - 65,000)/7,000

Z = -3.

For the p-value:

P(x > 44,000) = P(Z > -3) = P(Z < 3)

P(Z < 3) = P(Z = -3)

P(Z = -3) = 0.4987

P = 0.4987 + 0.5

P = 0.9987

Therefore, percentage = 99.87%.

Read more on standard deviation here: brainly.com/question/4302527

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