Answered: Suppose we are testing the Null…

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

Suppose we are testing the Null Hypothesis H₀: μ = 75 against the Alternative Hypothesis H_a: μ ≠ 75. Suppose our population is Normally distributed. A random sample of thirty six (36) observations are drawn from the population, and we find that the sample mean of these observations is 72 and the standard deviation is 10.

a) What is the value of the test satistic? (round your answer to two decimal places):

b) What is the corresponding p-value? (round your answer to four decimal places):

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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