The recommended dietary allowance (RDA) of iron is 18 milliframe (mg) per day fo

Question

The recommended dietary allowance (RDA) of iron is 18 milliframe (mg) per day for adult females under the age of 51.1 is believed that adult females under age of 51 are getting less than the RDA 18 mg of iron. For 51, sample mean is 16.56 mg and assume the population standard deviation is 2.1 mg. Formulate the hypotheses H_1 and H_0. Determine the rejection region if the level of significance is alpha = 0.1 Does the data support the believe at the significance level of alpha = 0.1? Calculate the P-value.

Explanation / Answer

a)

Ho : miu = 18

Ha : miu < 18

b)

for alpha = 0.1 since is a one tailed test

critical value is -1.28

c)

Z = ( 16.56 - 18 ) / ( 2.1 / srqt 50 )

Z = -4.85

p value is 0.000003

since p value is lower thjan significance level we reject Ho

conclusion

the mean is less than 18 mg

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