19.| Crime Rate: FBI A random sample of n, gave the following violent crime rates (per x,: New England Crime Rate 3.5 3.7 4.0 3.9 3.3 Another random sample of n, = 12 regions gave the following violent crime rates (per x,: Rocky Mountain States 3.7 4.3 4.5 5.3 3.3 4.8 3 (Reference: Crime in the United States, Fec Assume that the crime rate distribution is a regions. i. Use a calculator to verify that I S2 = 0.94. 11. Do the data indicate that the violent cri region is higher than that in New Engla 20. | Medical: Hay Feyer A random sample of

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19. | Crime Rate: FBI A random sample of n, = 10 regions in New England
gave the following violent crime rates (per million population).
x,: New England Crime Rate
3.5
3.7
4.0
3.3 4.1 1.8
4.8
3.1
Another random sample of n, = 12 regions in the Rocky Mountain states
gave the following violent crime rates (per million population).
x,: Rocky Mountain States
3.7 4.3 4.5 5.3 3.3 4.8 3.5
2.4
3.1
3.5 5.2
2.8
(Reference: Crime in the United States, Federal Bureau of Investigation.)
Assume that the crime rate distribution is approximately normal in both
regions.
i. Use a calculator to verify that x = 3.51, s, = 0.81, x, = 3.87, and
S2 - 0.94.
1i. Do the data indicate that the violent crime rate in the Rocky Mountain
region is higher than that in New England? Use a =
0.01.
%3D
20. Medical: Hay Fever A random sample of n = 16 communities in western
Kansas gave the following information for people under 25 years of age.
x;: Rate of hay fever per 1000 population for people under 25
93
86
125
120
128
92
123
112
06
95
125
122
127
88
A random sample of n2
information for people over 50 years old.
14 regions in western Kansas gave the following
x,: Rate of hay fever per 1000 population for people over 50
95
110
112
88
101
L6
115
114
85
68
96
(Reference: National Center for Health Statistics.)
Transcribed Image Text:19. | Crime Rate: FBI A random sample of n, = 10 regions in New England gave the following violent crime rates (per million population). x,: New England Crime Rate 3.5 3.7 4.0 3.3 4.1 1.8 4.8 3.1 Another random sample of n, = 12 regions in the Rocky Mountain states gave the following violent crime rates (per million population). x,: Rocky Mountain States 3.7 4.3 4.5 5.3 3.3 4.8 3.5 2.4 3.1 3.5 5.2 2.8 (Reference: Crime in the United States, Federal Bureau of Investigation.) Assume that the crime rate distribution is approximately normal in both regions. i. Use a calculator to verify that x = 3.51, s, = 0.81, x, = 3.87, and S2 - 0.94. 1i. Do the data indicate that the violent crime rate in the Rocky Mountain region is higher than that in New England? Use a = 0.01. %3D 20. Medical: Hay Fever A random sample of n = 16 communities in western Kansas gave the following information for people under 25 years of age. x;: Rate of hay fever per 1000 population for people under 25 93 86 125 120 128 92 123 112 06 95 125 122 127 88 A random sample of n2 information for people over 50 years old. 14 regions in western Kansas gave the following x,: Rate of hay fever per 1000 population for people over 50 95 110 112 88 101 L6 115 114 85 68 96 (Reference: National Center for Health Statistics.)
Expert Solution
Step 1
  1.  

Step-by-step procedure to obtain the  mean and standard deviation of New England crime rates using Ti83 calculator.

  • Press STAT.
  • Select Edit.
  • Enter the values of New England crime rates in L1.
  • Press STAT and Choose CALC.
  • Select 1-Var Stats
  • Press Enter.

Output obtained by Ti 83 calculator is given below:

Statistics homework question answer, step 1, image 1

From the output, it is verified that x¯13.51 and s10.81

Step 2

Step-by-step procedure to obtain the  mean and standard deviation of Rocky Mountain States using Ti83 calculator.

  • Press STAT.
  • Select Edit.
  • Enter the values of Rocky Mountain States in L1.
  • Press STAT and Choose CALC.
  • Select 1-Var Stats
  • Press Enter.

Output obtained by Ti 83 calculator is given below:

Statistics homework question answer, step 2, image 1

From the output, it is verified that x¯23.87 and s20.94

 

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