Question

A random sample of n_{1} = 12 in Chicago gave the
following information concerning violent crime rates (per million):
x-bar_{1} = 3.45 and s_{1} = 0.81. Another random
sample of n_{2} = 15 in Las Vegas gave the following
information concerning violent crime rates: x-bar_{2}_{=
3.81 and} s2 _{= 0.95. Do the data indicate that violent
crime rate in Chicago is higher than that in Las Vegas? Use a 5%
level of significance.}

Show all work and calculations.

Answer #1

A random sample of n1 = 10 regions in New
England gave the following violent crime rates (per million
population).
x1: New England Crime
Rate
3.5
3.9
4.0
4.1
3.3
4.1
1.8
4.8
2.9
3.1
Another random sample of n2 = 12 regions in
the Rocky Mountain states gave the following violent crime rates
(per million population).
x2: Rocky Mountain Crime
Rate
3.7
4.1
4.7
5.3
3.3
4.8
3.5
2.4
3.1
3.5
5.2
2.8
Assume that the crime rate distribution...

A random sample of n1 = 10 regions in New England gave the
following violent crime rates (per million population).
x1: New England Crime Rate 3.3 3.9 4.2 4.1 3.3 4.1 1.8 4.8 2.9
3.1
Another random sample of n2 = 12 regions in the Rocky Mountain
states gave the following violent crime rates (per million
population).
x2: Rocky Mountain Crime Rate 3.5 4.3 4.5 5.3 3.3 4.8 3.5 2.4
3.1 3.5 5.2 2.8
Assume that the crime rate distribution...

A random sample of n1 = 10 regions in New
England gave the following violent crime rates (per million
population).
x1: New
England Crime Rate
3.3
3.7
4.2
4.1
3.3
4.1
1.8
4.8
2.9
3.1
Another random sample of n2 = 12 regions in
the Rocky Mountain states gave the following violent crime rates
(per million population).
x2: Rocky
Mountain Crime Rate
3.9
4.1
4.5
5.5
3.3
4.8
3.5
2.4
3.1
3.5
5.2
2.8
Assume that the crime rate distribution is approximately...

A random sample of n1 = 10 regions in New
England gave the following violent crime rates (per million
population).
x1: New
England Crime Rate
3.3
3.7
4.2
4.1
3.3
4.1
1.8
4.8
2.9
3.1
Another random sample of n2 = 12 regions in
the Rocky Mountain states gave the following violent crime rates
(per million population).
x2: Rocky
Mountain Crime Rate
3.5
4.3
4.5
5.5
3.3
4.8
3.5
2.4
3.1
3.5
5.2
2.8
Assume that the crime rate distribution is approximately...

A random sample of n1 = 10 regions in New
England gave the following violent crime rates (per million
population).
x1: New England Crime
Rate
3.5
3.7
4.2
4.1
3.3
4.1
1.8
4.8
2.9
3.1
Another random sample of n2 = 12 regions in
the Rocky Mountain states gave the following violent crime rates
(per million population).
x2: Rocky Mountain Crime
Rate
3.9
4.1
4.5
5.1
3.3
4.8
3.5
2.4
3.1
3.5
5.2
2.8
Assume that the crime rate distribution...

A random sample of n1 = 10 regions in New
England gave the following violent crime rates (per million
population).
x1: New England Crime
Rate
3.5
3.9
4.0
4.1
3.3
4.1
1.8
4.8
2.9
3.1
Another random sample of n2 = 12 regions in
the Rocky Mountain states gave the following violent crime rates
(per million population).
x2: Rocky Mountain Crime
Rate
3.9
4.3
4.7
5.3
3.3
4.8
3.5
2.4
3.1
3.5
5.2
2.8
Assume that the crime rate distribution...

A random sample of n1 = 16 communities in western Kansas gave
the following information for people under 25 years of age.
x1: Rate of hay fever per 1000
population for people under 25
100
92
121
126
94
123
112
93
125
95
125
117
97
122
127
88
A random sample of n2 = 14 regions in
western Kansas gave the following information for people over 50
years old.
x2: Rate of hay fever per 1000
population for...

A random sample of n1 = 16 communities in
western Kansas gave the following information for people under 25
years of age.
x1: Rate of hay fever per 1000
population for people under 25
98
92
120
126
94
123
112
93
125
95
125
117
97
122
127
88
A random sample of n2 = 14 regions in
western Kansas gave the following information for people over 50
years old.
x2: Rate of hay fever per 1000
population for...

Given the information below that includes the sample size (n1
and n2) for each sample, the mean for each sample (x1 and x2) and
the estimated population standard deviations for each case( σ1 and
σ2), enter the p-value to test the following hypothesis at the 1%
significance level :
Ho : µ1 = µ2
Ha : µ1 > µ2
Sample 1
Sample 2
n1 = 10
n2 = 15
x1 = 115
x2 = 113
σ1 = 4.9
σ2 =...

A random sample of n1 = 16 communities in
certain state gave the following information for people under 25
years of age.
x1: Rate of hay fever per 1000 population
for people under 25
112 124 106 128 106 83 123 96 96 108 124 125 81 112 133 112
A random sample of n2 = 14 regions in
certatin state gave the following information for people over 50
years old.
x2: Rate of hay fever...

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