Question

# The recommended daily dietary allowance for zinc among males older than age 50 years is 15...

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 = 115, x = 12.1, and s = 6.57. Does this data indicate that average daily zinc intake in the population of all males age 65−74 falls below the recommended allowance? (Use α = 0.05.)

H0: μ = 15
Ha: μ < 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 =?

You may need to use the appropriate table in the Appendix of Tables to answer this question.

#### Homework Answers

Answer #1

Solution :

Given that,

Population mean = = 15

Sample mean = = 12.1

Population standard deviation = = 6.57

Sample size = n = 115

Level of significance = = 0.05

The test statistics,

Z =( - )/ (/n)

= ( 12.1 - 15 ) / ( 6.57 / 115)

= -4.73

p-value = P(Z < z )

= P(Z < -4.73)

= 0

The p-value is p = 0, and since p = 0 < 0.05, it is concluded that the null hypothesis is rejected.

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