Question Details

Compute the mean and the standard deviation of the sample 


1.	You are given the following information obtained from a random sample of 4 observations.

25	47	32	56

You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 48. (Assume the population is normally distributed.)

a.	State the null and the alternative hypotheses.
b.	Determine the test statistic.
c.	Determine the p-value; and at 95% confidence test to determine whether or not the mean of the population is significantly different from 48.



2.	Confirmed cases of West Nile virus in birds for a sample of six counties in the state of Georgia are shown below.

County	Cases
Catoosa	6
Chattooga	3
Dade	3
Gordon	5
Murray	3
Walker	4

We are interested in testing the following hypotheses regarding these data:  
H0:    3
Ha:  > 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 at 95% confidence, test the hypotheses.



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