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A nutritionist claims that children under the age of 10 years are consuming more than the U.S. Food and Drug Administration's recommended daily allowance of sodium, which is 2400 mg. A random sample of 22 children under the age of 10 was taken to measure their daily consumption of sodium. The sample mean was 2993 mg., with a sample standard deviation of s=1489 mg. Be sure to check if the conditions are met, and show how you checked them
a) Test the nutritionist's claim at the α =0.01 level of significance.
Whats your conclusion?
b) How large of a samplei s needed in order to have a confidence level of 95%with a margin of error 400 mg? show all work.
Use σ ≈ 1489. sample size n=?
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