According to a dietary study, high sodium intake may be related to ulcers, stomach cancer and migraine headaches. The human requirement for salt is only 217 mg/day which is surpassed most single servings of ready-to-eat cereals. If a random sample of 20 similar servings of a certain cereal has a mean sodium content of 237 mg and a standard deviation of 24.1 mg, does this suggest at the 0.01 level of significance that the average sodium content for a single serving of such cereal is lesser than 220mg? Assume the distribution of sodium content to be normal.

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