Answered: The data below was collected for all 50…

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 data below was collected for all 50 states in the US. Start by dividing the states into 2 groups:
those with Poverty under 12% and those with Poverty at least 12 %.

1) Test the claim that the two groups have the same mean number of Gun Deaths.

2) Test the claim that the two groups have the same mean number of High School Graduates

3) Test the claim that the two groups have the same mean number for Unemployment.

4) For each group, create a confidence interval for the number of Gun Deaths. How do they compare?

5) For each group, create a confidence interval for the number of High School Graduates. How do they
compare?

6) For each group, create a confidence interval for the number for Unemployment. How do they compare?

North Carolina
ACTIO
In Maxco
WESTET
** 355 35
13.10%
JE ROK
13.80%
14.40%
14 50%
16.70%
17.90%
18.30%
20 10%
121
128
4.2
13.7
154
141
165
BIOT
178
1
E ET
176
84.3
30.6
50.8
84.7
31.7
83.1
8318
34.2
32 1
SEL
313
$2.2
80..
133222*
5.2
B
32333
92
81
BM
B
83

NOR-NEGRE
Varment
Minnesota
Havall
DAINGN
Mrginia
Nabasa
LE
DAN CATANIA
POVERTY
7.60%
8.60%
P.ROK
9.50%
3.70%
10.00%
11.60%
12 50%
GUN DEATHS
10.3
12.6
10
IXE
25
HI
**
**
17
PI
High School
Graduates
90.4
36.6
89.8
88.6
247
UNEMPLOYMENT
4
3.5
***
**
17
F

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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