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…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

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ISBN:9780079039897

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Chapter10: Statistics

Section10.4: Distributions Of Data

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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).

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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