Question

In: Statistics and Probability

I do not know why I keep getting this question wrong, I triple checked my work!...

I do not know why I keep getting this question wrong, I triple checked my work!

A distribution of values is normal with a mean of 80 and a standard deviation of 18. From this distribution, you are drawing samples of size 23.

Find the interval containing the middle-most 40% of sample means: ANSWER HERE

Enter your answer using interval notation. In this context, either inclusive or exclusive intervals would be acceptable. Your numbers should be accurate to 1 decimal places. Answers obtained using exact z-scores or z-scores rounded to 3 decimal places are accepted.

I got 84.5 as my answer

Expert Solution

Let , , n=23

Now , we want to find the interval containing the middle most 40% of the sample means.

We have , the sampling distribution of the sample mean is approximately normally distributed with mean and standard deviation

Now ,

.................(I)

From standard normal distribution table , ...............(II)

From (I) and (II) , we get ,

Therefore , (78.0,82.0) be the interval containing the middle-most 40% of sample means.

orchestra answered 1 year ago

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