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 25 120 128 92 123 112 93 86 06 125 95 125 117 97 122 127 88 Arandom 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 25 101 97 112 88 115 114 85 68 96 (Reference: National Center for Health Statistics.) i. Use a calculator to verify that x 109.50, s, 15.41, 99.36, anc S2 = 11.57. ii. Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has lower rate of hay fever? Use a 0.05.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
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Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Question
5.3
2.4
3.5
5.2
(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
0.94.
i/ 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
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
120
128
92
123
112
93
86
06
125
95
125
122
88
L6
Arandom sample of n, = 14 regions in western Kansas gave the following
information for people over 50 years old.
x,: Rate of hay fever per 1000 population for people over 50
95
110
97
112
88
85
110
115
114
68
96
(Reference: National Center for Health Statistics.)
i. Use a calculator to verify that x
109.50, s, - 15.41, x2
- 99.36, and
sh 11.57.
ii. Assume that the hay fever rate in each age group has an approximately
normal distribution. Do the data indicate that the age group over 50 has a
lower rate of hay fever? Use a = 0.05.
%3D
Education: Tutoring In the journal Mental Retardation, an article reported
the results of a peer tutoring program to help mildly mentally retarded chil-
dren learn to read. In the experiment, the mildly retarded children were ran-
domly divided into two groups: the experimental group received peer tutorin
along with regular instruction, and the control group received regular instruc
n, = 30 children in each group.
The Gates-MacGintie Reading Test was given to both groups before instruc
tion began. For the experimental group, the mean score on the vocabulary
49.1
with
tion with no peer tutoring. There were n1
portion of the test was x, = 344.5, with sample standard deviation s1
For the controł group, the mean score on the same test was x, = 354.2,
samnle standard
Transcribed Image Text:5.3 2.4 3.5 5.2 (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 0.94. i/ 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 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 25 120 128 92 123 112 93 86 06 125 95 125 122 88 L6 Arandom sample of n, = 14 regions in western Kansas gave the following information for people over 50 years old. x,: Rate of hay fever per 1000 population for people over 50 95 110 97 112 88 85 110 115 114 68 96 (Reference: National Center for Health Statistics.) i. Use a calculator to verify that x 109.50, s, - 15.41, x2 - 99.36, and sh 11.57. ii. Assume that the hay fever rate in each age group has an approximately normal distribution. Do the data indicate that the age group over 50 has a lower rate of hay fever? Use a = 0.05. %3D Education: Tutoring In the journal Mental Retardation, an article reported the results of a peer tutoring program to help mildly mentally retarded chil- dren learn to read. In the experiment, the mildly retarded children were ran- domly divided into two groups: the experimental group received peer tutorin along with regular instruction, and the control group received regular instruc n, = 30 children in each group. The Gates-MacGintie Reading Test was given to both groups before instruc tion began. For the experimental group, the mean score on the vocabulary 49.1 with tion with no peer tutoring. There were n1 portion of the test was x, = 344.5, with sample standard deviation s1 For the controł group, the mean score on the same test was x, = 354.2, samnle standard
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