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Answer:
The minimum sample size is 239.
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 Z-table as such z has a p-value of .
That is z with a pvalue of , so Z = 2.575.
Now, find the margin of error M as such
In which is the standard deviation of the population and n is the size of the sample.
Population standard deviation is equal to 1.5
This means that
Margin of error of 0.25
This means that
What's the minimum size of the sample?
Rounding up:
The minimum sample size is 239.