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
97 91 122 126 93 123 112 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 people over 50
96 108 99 95 111 88 110
79 115 100 89 114 85 96
a) What sampling distribution will you use? What assumptions are you making? choose one:
The Student's t. We assume that both population distributions are approximately normal with known standard deviations.
The Student's t. We assume that both population distributions are approximately normal with unknown standard deviations.
The standard normal. We assume that both population distributions are approximately normal with unknown standard deviations.
The standard normal. We assume that both population distributions are approximately normal with known standard deviations.
b) What is the value of the sample test statistic? (Test the difference ?1 − ?2. Round your answer to three decimal places.)
c) Find (or estimate) the P-value. choose one:
P-value > 0.250
0.125 < P-value < 0.250
0.050 < P-value < 0.125
0.025 < P-value < 0.050
0.005 < P-value < 0.025
P-value < 0.005
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