Answer:
The smallest sample size required to obtain the desired margin of error is 44.
Step-by-step explanation:
I think there was a small typing error, we have that is the standard deviation of these weighs.
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 margin of error M as such
Which of these is the smallest approximate sample size required to obtain the desired margin of error?
This sample size is n.
n is found when
So
Simplifying by 15
Rounding up
The smallest sample size required to obtain the desired margin of error is 44.