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A researcher wishes to estimate the average amount a college student makes over the summer. Assume...

A researcher wishes to estimate the average amount a college student makes over the summer. Assume that the standard deviation for the incomes of all college students during the summer is $400.

1. How large of a sample is necessary so that the margin of error in a 90% confidence interval is less than $50?

2. How large of a sample is necessary so that the margin of error in a 95% confidence interval is less than $50?

work and answers for both please and thank you

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