Mathematics: A population is estimated to have a standard deviation of 9. We want to estimate the population mean within 2, with a 99% level of confidence. How large a sample is required? (Round up your answer to the next whole number.)

A population is estimated to have a standard deviation

drandbone92

30.01.2022

The sample required is n = 135

Step-by-step explanation:

From the question we are told that

The standard deviation is $\sigma = 9$

The margin of error is E = 2

Given that the confidence level is 99% then the level of significance is mathematically evaluated as

$\alpha = 100-99$

$\alpha = 1 \%$

$\alpha = 0.01$

Next we will obtain the critical value $\frac{\alpha }{2}$ from the normal distribution table(reference math dot armstrong dot edu) , the value is

$Z_{\frac{\alpha }{2} } = Z_{\frac{0.05 }{2} } = 2.58$

The sample size is mathematically represented as

$n = [ \frac{Z_{\frac{\alpha }{2} } * \sigma }{E} ]^2$

substituting values

$n = [ \frac{ 2.58 * 9 }{2} ]^2$

n = 135

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chasechevy13

19.08.2020

Coal, nuclear and natural gas power plants all transform thermal energy into electricity.

True

False

Step-by-step explanation:

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