Iron is essential to most life forms and to normal human physiology. It is an integral part of many proteins and enzymes that maintain good health. At the 1% significance level, do the data suggest that adult females under the age of 51 are, on average, getting less than the RDA of 18 mg of iron? Assume that the population standard deviation is 4.2 mg.
Added by Brooke M.
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Let's assume we have a sample of n observations, where n is the number of adult females in our study. We will denote the sample mean as x̄, which represents the average iron intake of the sample. Show more…
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Recommended daily allowance of iron for females aged 19-50 is 18 mg/day. Careful measurement of the daily iron intake of 15 women yielded a mean daily intake of 16.2 mg with a sample standard deviation of 4 mg. Assuming that the daily iron intake of women is normally distributed, perform the test to determine if the actual mean daily intake for all women is less than 18 mg/day, at the 10% level of significance.
Madhur L.
The recommended daily allowance of iron for females aged 19-50 is 18 mg/day. A careful measurement of the daily iron intake of 15 women yielded a mean daily intake of 16.2 mg with a sample standard deviation of 4.7 mg. a. Assuming that daily iron intake in women is normally distributed, perform the test that the actual mean daily intake for all women is different from 18 mg/day, at the 10% level of significance. b. The sample mean is less than 18, suggesting that the actual population mean is less than 18 mg/day. Perform this test, also at the 10% level of significance. (The computation of the test statistic done in part (a) still applies here.)
Qudsiya A.
The recommended daily allowance of iron for females aged 19-50 is 18 mg per day. A careful measurement of the daily iron intake of 15 women yielded a mean daily intake of 16.2 mg with a sample standard deviation of mg. Assuming that daily iron intake in women is normally distributed, perform the test to determine if the actual mean daily intake for all women is different from 18 mg/day, at the 0% level of significance.
Shagun K.
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