Answered: Given the two independent samples…

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

Given the two independent samples below, conduct a hypothesis test for the desired scenario. Assume all populations are approximately normally distributed.

Sample 1	Sample 2
n1= 953	n2= 880
x¯1= 381	x¯2= 456
s1= 156	s2= 170

Test the claim:

Given the null and alternative hypotheses below, conduct a hypothesis test for α=0.05.

H0: μ1=μ2
Ha: μ1≠μ2

Given the alternative hypothesis, the test is
Determine the test statistic. Round to four decimal places.
t=
Find the pp-value. Round to 4 decimals.
p-value =
Make a decision.
- Fail to reject the null hypothesis.
- Reject the null hypothesis.

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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