Confirmed cases of West Nile virus in birds for a sample of six counties in the state of Georgia are shown below. Assume the population is normally distributed.
CountyCases
Catoosa6
Chattooga3
Dade3
Gordon5
Murray3
Walker4
?
We are interested in testing the following hypotheses regarding these data:
?
H0: ?
3Ha: ?> 3
a.Compute the mean and the standard deviation of the sample.b.Compute the standard error of the mean.c.Determine the test statistic.d.Determine the p-value; and using ? = .10, test the hypotheses. What is your conclusion?
What will be an ideal response?
?
| a. | 4 and 1.265 (rounded) |
| b. | .5164 |
| c. | t = 1.936 |
| d. | p-value is between .05 and .1; reject H0 and conclude that the mean of the population is significantly more than 3. |
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