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A company labeled its can soup with 800mg sodium per serving. A consumers' group is concerned that the soup contains less sodium than what is listed on the can. A sample of 49 cans had a mean sodium content of 840 mg per serving and a sample standard deviation of 35 mg. Do the cans contain less than the 800 mg of sodium per serving listed on the label? Assume the population of the amount of sodium per serving is following a normal distribution.
1) What statistical procedure can be used? Explain why.
2) Use α = 0.05, and bothrejection region and p-value to make a decision.
A type I error is the mistake of rejecting the null hypothesis when it is actually true.
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