A First Course in Probability (10th Edition)
A First Course in Probability (10th Edition)
10th Edition
ISBN: 9780134753119
Author: Sheldon Ross
Publisher: PEARSON
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The recommended daily dietary allowance for zinc among males older than age 50 years is 15 mg/day. An article reports the following summary data on intake for a sample of males age 65−74 years: n = 111, x = 12.4, and s = 6.69. Does this data indicate that average daily zinc intake in the population of all males age 65−74 falls below the recommended allowance? (Use ? = 0.05.)
State the appropriate null and alternative hypotheses.

H0: ? = 15
Ha: ? > 15H0: ? = 15
Ha: ? < 15    H0: ? = 15
Ha: ? ≤ 15H0: ? = 15
Ha: ? ≠ 15


Calculate the test statistic and determine the P-value. (Round your test statistic to two decimal places and your P-value to four decimal places.)

z  =   
P-value  =   



State the conclusion in the problem context.

Do not reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day.Reject the null hypothesis. There is sufficient evidence that average daily zinc intake falls below 15 mg/day.    Do not reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day.Reject the null hypothesis. There is not sufficient evidence that average daily zinc intake falls below 15 mg/day.
Expert Solution
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Step 1

The random variable daily zinc intake follows normal distribution.

We have to test whether average daily zinc intake falls below 15 mg/day or not.

This is One-sample z-test because the sample size is large (n > 30).

We have to assume the sample standard deviation as population standard deviation.

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