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 a0.01significance level for both parts.malebmifemale bmi μμ1μ2n4343x28.439725.1541s8.5674394.499153The test statistic, t, is enter your response here. (Round to two decimal places as needed.)The P-value is enter your response here. (Round to three decimal places as needed.)b. Construct a confidence interval suitable for testing the claim that males and females have the same mean BMI.enter your response here<μ1−μ2<enter your response here(Round to three decimal places as needed.)

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Answered: The test statistic, t, is enter your…

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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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	43	43
x	28.4397	25.1541
s	8.567439	4.499153

The test statistic, t, is enter your response here. (Round to two decimal places as needed.)

The P-value is enter your response here. (Round to three decimal places as needed.)

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

enter your response here<μ1−μ2<enter your response here

(Round to three decimal places as needed.)

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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