The length, in words, of the essays written for a contest are normally distributed with a population standard deviation of 565 words and an unknown population mean. If a random sample of 17 essays is taken and results in a sample mean of 940 words, find the error bound (EBM) of the confidence interval with a 90% confidence level.

The error bound (EBM) of the confidence interval with a 90% confidence level is 217.44 words.

Step-by-step explanation:

We have that to find our level, that is the subtraction of 1 by the confidence interval divided by 2. So:

Now, we have to find z in the Ztable as such z has a pvalue of .

So it is z with a pvalue of , so

Now, find the error bound M as such

In which is the standard deviation of the population and n is the size of the sample.

So

The error bound (EBM) of the confidence interval with a 90% confidence level is 217.44 words.

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5