Answered: In Country A, the population mean…

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

In Country A, the population mean height for 3-year-old boys is 39 inches. Suppose a random sample of 15 3-year-old boys from Country B showed a sample mean of 38.6 inches with a standard deviation of 3 inches. The boys were independently sampled. Assume that heights are Normally distributed in the population. Complete parts a through c below.

a. Find the test statistic. (Type an integer or decimal rounded to two decimal places as needed.)

Find the p-value. (Type an integer or decimal rounded to three decimal places as needed.)

b. Now suppose the sample consists of 30 boys instead of 15 and repeat the test.

Find the test statistic. (Type an integer or decimal rounded to two decimal places as needed.)

Find the p-value. (Type an integer or decimal rounded 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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