According to a dietary study, nign sodium intake may be related to uicers, stomach cancer, and migraine headaches. The human requirement for salt is only 220 milligrams per day, which is surpassed in 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 244 milligrams and a standard deviation of 24.5 milligrams, does this suggest at the 0.01 level of significance it can be claimed that the average sodium content for a single serving of such cereal is greater than 220 milligrams? Assume the distribution of sodium contents to be normal. Answer the following questions:
According to a dietary study, nign sodium intake may be related to uicers, stomach cancer, and migraine headaches. The human requirement for salt is only 220 milligrams per day, which is surpassed in 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 244 milligrams and a standard deviation of 24.5 milligrams, does this suggest at the 0.01 level of significance it can be claimed that the average sodium content for a single serving of such cereal is greater than 220 milligrams? Assume the distribution of sodium contents to be normal. Answer the following questions:
A First Course in Probability (10th Edition)
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ISBN:9780134753119
Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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Transcribed Image Text: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 220 milligrams per day, which is
surpassed in 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 244 milligrams and a standard deviation of 24.5
milligrams, does this suggest at the 0.01 level of significance it can be claimed that the average sodium
content for a single serving of such cereal is greater than 220 milligrams? Assume the distribution of
sodium contents to be normal.
Answer the following questions:
1. State the null and alternative hypotheses: Options: { = *s2<>}
Ho: µ Blank 1 220 mg daily
Ha: u Blank 2 220 mg daily
2. Which of the hypotheses is the claim to be tested? Blank 3 Options: { Ho, Ha }
3. Given a 0.01 level of significance, the critical value is Blank 4 Blank 5
Options - 1st blank: { + - +}
Remarks - 2nd blank: Input as shown on the table provided.
4. Using the given data, the test value is Blank 6 Blank 7
Options - 1st blank: { + - +}
Remarks - 2nd blank: Round off up to 3 decimal places
5. Result: Blank 8
Options: { Reject Ho, Fail to Reject Ho }
6. Conclusion: Blank 9
Options: { There is enough evidence to support the claim, There is no enough evidence to support the claim } -- no period
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