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Average Daily Sodium Intake

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Standards set by the FDA indicate that Americans should not exceed an average daily sodium intake of 3300 milligrams (mg). To find out whether Americans are exceeding this limit a sample of 25 Americans is selected and the mean daily sodium intake is found to be 3120 mg with a standard deviation of 800 mg. Is this sufficient to conclude at the 0.01 level that Americans consume less sodium than recommended? Test the appropriate hypothesis using the traditional method. Find the 98% confidence interval for the population mean.

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The solution determines the average daily sodium intake.

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Mean = 3120
Std Dev of sample = 800
n = 25

Std dev of population = sample Std dev/ n^.5
= 800/25^.5 = 160

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