Question

If the standard deviation of a normally distributed population is 60 and we take a sample of size 25, then what is the (standard error) standard deviation of the sampling distribution of sample means. * Your answer If the mean of a population is 3 points 250 and we take a sample of size 25, then what is the mean of the sampling distribution of sample means. * Your answer 3 points A certain car model has a mean gas mileage of 34 miles per gallon (mpg) with a standard deviation of 5 mpg. A pizza delivery company buys 42 of these cars. What is the average mpg of the sampling distribution of samples means? *

Answer 1

$\\Standard\;Deviation (\sigma)= 60$
Sample size (n) = 25
Since we know that
$\\Sample \;standard\;deviation(s) = \frac{\sigma}{\sqrt{n}} = 12.0$



$\\Mean (\mu)= 250$
Sample size (n) = 25
Since we know that
$\\Sample \; mean (\bar{x}) = \mu = 250.0$


$\\Mean (\mu)= 34 \\Standard\;Deviation (\sigma)= 5$
Sample size (n) = 42
Since we know that
$\\Sample \; mean (\bar{x}) = \mu = 34.0 \\Sample \;standard\;deviation(s) = \frac{\sigma}{\sqrt{n}} = 0.7715$



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