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Name: Menstrual cycle length. Menstrual cycle lengths (days) in an SRS of te
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Description: Menstrual cycle length. Menstrual cycle lengths (days) in an SRS of ten women are as follows: {31, 28, 26, 24, 29, 33, 25, 26, 28, 30}. Use this data to test whether mean menstrual cycle length differs significantly from a lunar month. (A lunar month

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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Menstrual cycle length. Menstrual cycle lengths (days) in an SRS of ten women are as follows: {31, 28, 26, 24, 29, 33, 25, 26, 28, 30}. Use this data to test whether mean menstrual cycle length differs significantly from a lunar month. (A lunar month is 29.5 days.) Assume that population values vary according to a Normal distribution. Use a two-sided alternative and 5% significance level. Note that days with standard deviation s = 2.8284 days. ?=28.0

List the hypotheses, test statistic, p-value, and conclusion for this problem.

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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