Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts. Male BMIFemale BMIuu1u2n4949x (mean)27.279925.2298s8.3891685.277489 a. Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? What is the test statistic, t? What is the P-value? State the conclusion for the test. b. Construct a confidence interval suitable for testing the claim that males and females have the same mean body mass index (BMI).

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Description: Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviation

a. The claim of the test is that males and females have the same mean body mass index (BMI). The…

Answered: a. Test the claim that males and…

MATLAB: An Introduction with Applications

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ISBN:9781119256830

Author:Amos Gilat

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Given in the table are the BMI statistics for random samples of men and women. Assume that the two samples are independent simple random samples selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. Use a 0.05 significance level for both parts.

	Male BMI	Female BMI
u	u1	u2
n	49	49
x (mean)	27.2799	25.2298
s	8.389168	5.277489

a. Test the claim that males and females have the same mean body mass index (BMI).

What are the null and alternative hypotheses?

What is the test statistic, t?

What is the P-value?

State the conclusion for the test.

b. Construct a confidence interval suitable for testing the claim that males and females have the same mean body mass index (BMI).

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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