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
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
Use a calculator to calculate x1, s1, x2, and s2. (Round your answers to two decimal places.)
What is the value of the sample test statistic? Compute the corresponding z or t value as appropriate. (Test the difference μ1 − μ2. Do not use rounded values. Round your answer to three decimal places.)
(b) Find a 90% confidence interval for
μ1 − μ2.
(Round your answers to two decimal places.)
from given data:
|std error =√(S21/n1+S22/n2)=||4.866|
|test stat t =(x1-x2-Δo)/Se =||2.051|
|Point estimate of differnce =x1-x2 =||9.982|
|for 90 % CI & 13 df value of t=||1.771|
|margin of error E=t*std error =||8.618|
|lower bound=mean difference-E =||1.36|
|Upper bound=mean differnce +E =||18.60|
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