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 25 100 90 121 129 94 123 112 93 125 95 125 117 97 122 127 88 A random 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 96 108 99 97 113 88 110 79 115 100 89 114 85 96 (i) Use a calculator to calculate x,, s,, X, and s,. (Round your answers to two decimal places.) X = S1 = X2 = S2 = (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. (a) What is the level of significance?
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 25 100 90 121 129 94 123 112 93 125 95 125 117 97 122 127 88 A random 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 96 108 99 97 113 88 110 79 115 100 89 114 85 96 (i) Use a calculator to calculate x,, s,, X, and s,. (Round your answers to two decimal places.) X = S1 = X2 = S2 = (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. (a) What is the level of significance?
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Author:Amos Gilat
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Transcribed Image Text: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
100 90 121
129 94
123
112 93
125 95
125 117 97 122
127 88
A random 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
96
108
99 97
113
88 110
79
115
100
89
114
85
96
(i) Use a calculator to calculate x,, s,, X2, and s3. (Round your answers to two decimal places.)
x =
S1 =
X, =
S, =
(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.
(a) What is the level of significance?
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