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a random sample size of 450 is drawn from a large population. The population standard deviation is 1.6. The sample mean is 27.9. Estimate the size of the population mean, including margin of error.​

a random sample size of 450 is drawn from a large population. The population standard deviation is 1.6. The sample mean is 27.9. Estimate the size of the popula class=

Answer :

ronhagrid310

Answer:

The size of the population mean would be provided as:

mean +/- std/sqrt(sample size)

<=>

27.9 +/- 1.6/sqrt(450)

<=>

27.9 +/- 0.75

=> Option A is correct.

Hope this helps!

:)

Size of the population mean including the margin of error is option (a) 27.9±0.075

What is Standard deviation?

the standard deviation is a measure of the amount of variation or dispersion of a set of values

What is mean ?

Mean is the average of the given numbers and is calculated by dividing the sum of given numbers by the total number of numbers

Given,

Random sample size = 450

Population standard deviation = 1.6

Sample mean = 27.9

Size of the population mean = Mean ± Standard deviation / ([tex]\sqrt{sample size}[/tex])

=27.9±[tex](\frac{1.6}{\sqrt{450} })[/tex]

=27.9±0.075

Hence, Size of the population mean including the margin of error is option (a) 27.9±0.075

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