Suppose that scores on the mathematics part of the national assessment of educational progress (naep) test for eighth-grade students follow a normal distribution with standard deviation σ = 110 . you want to estimate the mean score within ± 10 with 90 % confidence. how large an srs of scores must you choose? give your answer as a whole number.

A sample size of at least 328 students is required.

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 width M as such

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

In this problem, we have that:

So:

A sample size of at least 328 students is required.

the slope of the first function is -3. (3/1)

the slope of the second function is 1. (13-10/6-3).

since |-3| is greater than |1|, the function with the steepest slope is the first.

answer: the answer is 35%