Question

In: Statistics and Probability

You want to obtain a sample to estimate how much parents spend on their kids birthday...

You want to obtain a sample to estimate how much parents spend on their kids birthday parties. Based on previous study, you believe the population standard deviation is approximately σ=58.5σ=58.5 dollars. You would like to be 90% confident that your estimate is within 2.5 dollar(s) of average spending on the birthday parties. How many parents do you have to sample?

Solutions

Expert Solution

We are given the margin of error here as 2.5 dollars.

From standard normal tables, we have:
P(-1.645 < Z < 1.645) = 0.9

Therefore the margin of error here is computed as:

Putting all the above values, we get here:

Therefore 1482 is the required minimum sample size here.


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