a) How large a sample must she select if she desires to be 90% confident that the true mean is within 3 ounces of the sample mean (in other words, the margin of error is 3 ounces)? (b) Repeat part (a) using a 98% level of confidence. (c) Which level of confidence requires a larger sample size? Explain the math behind your conclusion. Look at your formulas and explain what is different and how this impacts your answer

MATLAB: An Introduction with Applications
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A health care professional wishes to estimate the birth weights of infants. A previous study indicates that the population standard deviation of the birth weights is known to be 8 ounces.

(a) How large a sample must she select if she desires to be 90% confident that the true mean is within 3 ounces of the sample mean (in other words, the margin of error is 3 ounces)?

(b) Repeat part (a) using a 98% level of confidence.

(c) Which level of confidence requires a larger sample size? Explain the math behind your conclusion. Look at your formulas and explain what is different and how this impacts your answer.

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