Answered: a socialogist expects the life…

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

a socialogist expects the life expenancy of people in africa is different than the life expantancy of people in asia. the data shown in the table below. determine the 95% confidence interval for the difference in the population mean

africa	asia
mean₁= 63.3 yr	mean₂= 65.2
STD₁= 9.1 yr	STD₂= 7.3 yr
n₁=120	n₂= 150

calculate the critical value. use σ=0.05

A) -11.4 < μ₁ - μ₂ < -7.6 B)-12.2< μ₁ - μ₂ < -6.9 C). -13.5< μ₁ - μ₂ < -6.3

Expert Solution

Step 1

Step-by-step procedure to obtain the value of using STATKEY:

Choose Normal under Theoretical Distributions.
In Normal Distribution, click Edit Parameters.
Enter mean as 0 and standard deviation as 1 and click Ok.
Click Two-Tail.
Click OK.

Output obtained using the MINITAB software is given below:

Normal Distribution
Reset Plot
Left Tail
Two-TailRight Tail
0.40
0.35
0.30
0.25
0.20
0.025
0.950
0.025
0.15
0.10
0.05
0.00
4.0
1.0
-3.0
1.0
0.0
1.0
3.0
4.0
-1.960
1.960

Step 2

From the output, the value of is 1.96 for 95% confidence.

The 95% confidence interval is obtained as follows:

Sample statistic
ME = (x-
+
п,
п,
(9.1) (7.3)
2
=(63.3-65.2) 1.96f-
120
150
=-1.9+ 2.004
=(-3.904,0.104)

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