Lorraine was in a hurry when she computed a confidence interval for µ. Because σ was not known, she used a Student's t distribution. However, she accidentally used degrees of freedom n instead of n − 1. Will her confidence interval be longer or shorter than one found using the correct degrees of freedom n − 1? Explain.

The confidence interval will be shorter

Step-by-step explanation:

Required

How will the confidence interval be affected when n is used instead of n - 1

As sample size n increases, the confidence interval also increases by 1;

i.e.

However, the confidence interval gets reduced.

This implies that, the higher the degrees of freedom; the shorter the confidence interval.

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