Question

We want to estimate the population mean within 5, with a 99% level of confidence. The population standard deviation is estimated to be 15. How large a sample is required?

Answer 1

Answer: 59.721984

Explanation:

Formula to calculate sample size (n):

$n=(\sigma \times z^{*} /E)^{2} }$

, where σ = population standard deviation, E=Margin of error,

z* =critical value for the confidence interval.

As per given, we have

E =5

σ = 15

Critical value for 99% confidence = 2.576

Then,

$n=(15 \times2.576/5)^{2}$

⇒ n= 59.721984 ≈ 60

So, Required sample size = 60 .

Link to the similar question on population deviation standard https://brainly.com/question/17126730?referrer=searchResults

Answer 2

60, is the required sample size.

A step-by-step explanation of the estimation of the population sample size.

Formula to calculate sample size (n):

n=(σ x z* ) 2

       E

where  = population standard deviation, E Margin of error, z* = critical value for the confidence interval.

As per the given value, we have

E =5

Critical value for 99% confidence = 2.576

Then,

So, the Required sample size = 60

To learn more about sample size, refer to

https://brainly.com/question/17126730

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