A researcher is interested in knowing the chemical content in food. For this purpose he took arandom sample of size n = 50 people. From these data, the average chemical content of dailyintake x= 750 grams/day, with a standard deviation, s = 35 grams/day.Questiona) Determine the 95% confidence interval estimate for the average chemical content of the actualfoodb) If we consider the standard deviation of the actual chemical content (population) of food = 30grams/day; How large a sample is needed if you want to believe that the 90% estimator of thesample mean does not exceed 5 grams/day difference from the true mean?

The sample mean is 750 and the sample standard deviation is 35.

Answered: andom sample of size n = 50 people.…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Question 5, 8.3.49
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An IQ test is designed so that the mean is 100 and the standard deviation is 10 for the population of normal adults. Find the sample size necessary to estimate the mean IQ score of statistics students such that it can be said with 99% confidence that the sample mean is within 4 IQ points of the true mean. Assume that σ=10 and determine the required sample size using technology. Then determine if this is a reasonable sample size for a real world calculation.
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