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 a0.01 significance level for both parts. Male BMIFemale BMIμμ1μ2n4949x overbar27.280225.7919s8.9269855.840165 Test the claim that males and females have the same mean body mass index (BMI). What are the null and alternative hypotheses? The test statistic, t, is __________ The P-value is __________ State the conclusion for the test. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI.__________ < μ1 − μ2 < __________ Does the confidence interval support the conclusion of the test?__________, because the confidence interval contains __________.

We have given BMI statistics for random samples of men and women- For sample 1 for male- Sample…

Answered: Given in the table are the BMI…

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

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.4: Distributions Of Data

Problem 19PFA

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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

0.01 significance level for both parts.

	Male BMI	Female BMI
μ	μ1	μ2
n	49	49
x overbar	27.2802	25.7919
s	8.926985	5.840165

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

What are the null and alternative hypotheses?

The test statistic, t, is __________

The P-value is __________

State the conclusion for the test.

Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI.

__________ < μ1 − μ2 < __________

Does the confidence interval support the conclusion of the test?

__________, because the confidence interval contains __________.

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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