Find and interpret a 95% confidence interval to estimate the average number of bolts per box for all boxes in the population. Round to 3 decimal places.

Complete Question

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The 95% confidence interval is  

This means that there is 95% chance that the true population mean is within this interval

Step-by-step explanation:

From the question we are told that

    The  sample size is n = 30  

    The sample mean is  

    The population standard deviation is  

Given that the confidence level is 95% then the level of confidence is evaluate as

Next we obtain the critical value of   from the normal distribution table , the values is

Generally the margin of error is mathematically represented as

substituting values

The  95% confidence interval is mathematically represented as

substituting values

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

eve and marks ratios are equivalent

step-by-step explanation: