The food and drug administration will allow a food product to be labeled “sodium free” only if there is strong evidence that it contains, on average, less than 5 mg of sodium per serving. A soft drink producer, wishing to use a “salt free” label, has its product tested. A Laboratory takes 25 independent sample servings of the soft drink and measures them for sodium content using a technique that is practically free of bias. These measurements average 4.9 mg of sodium with a standard deviation of 1 mg. Is this strong evidence that the new soft drink deserves the salt free label? Translate this problem into a statistical hypothesis-testing problem and carry out the test. Be sure to give the null hypothesis and alternative hypothesis, the value of the test statistics, the P value, and your conclusions.
The food and drug administration
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