Question

g According to a recent study, the number of times a person visits a doctor per year follows an approximately normal distribution with a mean of 4.6 visits and a standard deviation of 0.8 visits. A tech company wishes to offer their employees health insurance next year. To find the best health insurance plan, the company randomly selects employees and notes how many times they visited the doctor last year. If the research resulted in a standard error of 0.025 visits, how many employees did they sample?

Answer 1

Answer:  1024

Step-by-step explanation:

Formula to find the standard error :

$se=\dfrac{\sigma}{\sqrt{n}}$

We are given that , $\sigma=0.8$

se=0.0025

Substitute theses values in the above formula , we get

$0.0025=\dfrac{0.8}{\sqrt{n}}$

$\Rightarrow\ \sqrt{n}=\dfrac{0.8}{0.025}=32$

Squaring both sides , we get

$n=(32)^2=1024$

Hence, they sampled 1024 employees.