A population has a μ = 1185 and σ = 157. What is the value of the mean of the distribution of sample means?

1185

Step-by-step explanation:

We have been given that a population has a μ = 1185 and σ = 157. We are asked to find the value of the sample mean.

We know that represents population mean and represents standard deviation.

We also know that mean of sampling distribution is equal to population mean, therefore, the value of the sample mean for our given scenario would be 1185.

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the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet