Answered: To test the hypothesis that adult women…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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To test the hypothesis that adult women are getting less than the recommended dietary allowance of 18 mg of iron per day, a researcher randomly selects 40 adult women to determine their daily intake of iron.

a.What are the hypotheses for the testthe researcher is conducting?(Let μ be the mean daily iron intake, in mg, of adult women.)

H0:

HA:

b. The mean daily iron intake of the 40 women sampled is 16.2mg. Assuming that the population standard deviation is known to be about σ= 4.2mg, find the P-value for the researcher’s test.

c. Do the data provide sufficient evidence at the 1% significance level to conclude adult women, on average, are getting less than the daily recommended dietary allowance of iron? Show how you used the P-value from part (b) to reach your conclusion

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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