A study of fox rabies in a country gave the following information about different regions and the occurrence of rabies in each region. A random sample of
n1 = 16
locations in region I gave the following information about the number of cases of fox rabies near that location.
x1:
Region I Data
| 2 | 9 | 9 | 9 | 7 | 8 | 8 | 1 |
| 3 | 3 | 3 | 2 | 5 | 1 | 4 | 6 |
A second random sample of
n2 = 15
locations in region II gave the following information about the number of cases of fox rabies near that location.
x2:
Region II Data
| 2 | 2 | 5 | 2 | 6 | 8 | 5 | 4 |
| 4 | 4 | 2 | 2 | 5 | 6 | 9 |
Use a calculator with sample mean and sample standard deviation keys to calculate x1 and s1 in region I, and x2 and s2 in region II. (Round your answers to two decimal places.)
| x1 | = |
| s1 | = |
| x2 | = |
| s2 | = |
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 final answer to three decimal places.)
(b) Find a 95% confidence interval for
μ1 − μ2.
(Round your answers to two decimal places.)
| lower limit | |
| upper limit |
from above data
a)
x1 =5.00
s1 =2.99
x2=4.40
s2 =2.23
| std error =√(S21/n1+S22/n2)= | 0.943 | |
| test stat t =(x1-x2-Δo)/Se = | 0.636 |
b)
| Point estimate of differnce =x1-x2 = | 0.600 | |
| for 95 % CI & 14 df value of t= | 2.145 | |
| margin of error E=t*std error = | 2.023 | |
| lower bound=mean difference-E = | -1.42 | |
| Upper bound=mean differnce +E = | 2.62 |
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