Question

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 is approximately normal in both regions. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than in New England? Use α = 0.01. Solve the problem using both the traditional method and the P-value method. (Test the difference μ1 − μ2. Round the test statistic and critical value to three decimal places.)

test statistic: _______

critical value: ________

Find (or estimate) the P-value: _______

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
3.3
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
3.9
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
3.5
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 = 12 in Chicago gave the
following information concerning violent crime rates (per million):
x-bar1 = 3.45 and s1 = 0.81. Another random
sample of n2 = 15 in Las Vegas gave the following
information concerning violent crime rates: x-bar2=
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.

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...

Is the national crime rate really going down? Some sociologists
say yes! They say that the reason for the decline in crime rates in
the 1980s and 1990s is demographics. It seems that the population
is aging, and older people commit fewer crimes. According to the
FBI and the Justice Department, 70% of all arrests are of males
aged 15 to 34 years.† Suppose you are a sociologist in Rock
Springs, Wyoming, and a random sample of police files showed...

Is the national crime rate really going down? Some sociologists
say yes! They say that the reason for the decline in crime rates in
the 1980s and 1990s is demographics. It seems that the population
is aging, and older people commit fewer crimes. According to the
FBI and the Justice Department, 70% of all arrests are of males
aged 15 to 34 years.† Suppose you are a sociologist in Rock
Springs, Wyoming, and a random sample of police files showed...

Is the national crime rate really going down? Some sociologists
say yes! They say that the reason for the decline in crime rates in
the 1980s and 1990s is demographics. It seems that the population
is aging, and older people commit fewer crimes. According to the
FBI and the Justice Department, 70% of all arrests are of males
aged 15 to 34 years.† Suppose you are a sociologist in Rock
Springs, Wyoming, and a random sample of police files showed...

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