Answered: The mean length at birth of 14 male…

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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Question

The mean length at birth of 14 male infants was 53 cm. If the length of infant males is normally distribution with a standard deviation of 9 cm, can one conclude on the basis of these data that the population mean is not 50 cm? Let the maximum probability of committing a type I error be 0.10.

What is the alternative hypothesis?

What is the test statistic?

What is the p-value?

What is the conclusion?

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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