Amarketing consultant observed 40 consecutive shoppers to estimate the average money spent by shoppers in a supermarket store. assume that the money spent by the population of shoppers follow a normal distribution with a standard deviation of $21.51. what is the probability that the average money spent by a sample of 40 shoppers is within $10 of the actual population mean. 0.1389

P (average within 10) = 0.9984

Step-by-step explanation:

Given:

Number of consecutive shoppers observed, n = 40

Standard deviation, σ = $21.51

Now,

Standard error (SE) =

or

Standard error (SE) =

or

Standard error (SE) = 3.40

also,

z =

on substituting the values, we have

z =

or

z = 2.94

Now, from the Table of Area Under Standard Noral Curve

for z = 2.94 ; area = 0.9984

we have P (average within 10) = 0.9984

answer: the answer is 30 miles per hour.

ft/s -> mphmph = ft/s 1.466667mph = 44 divided by 1.466667mph = 30.00000

- r3ktforgood ☕

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