Consider a population of five families with the following data representing the number of pets in each family.
Family
Number of Pets
A
2
B
6
C
4
D
3
E
1
?
a.Determine the mean and the variance of the population.b.There are ten possible samples of size 2 (sampling without replacement). List the 10 possible samples of size 2, and determine the mean of each sample.c.Using the ten sample mean values, compute the mean and the standard deviation from the mean determined.
What will be an ideal response?
?
| a. | 3.2 and 3.7 | ||
| b. | |||
| Possible Samples | Sample Means | ||
| AB | 4 | ||
| AC | 3 | ||
| AD | 2.5 | ||
| AE | 1.5 | ||
| BC | 5 | ||
| BD | 4.5 | ||
| BE | 3.5 | ||
| CD | 3.5 | ||
| CE | 2.5 | ||
| DE | 2 | ||
| c. | 3.2 and 1.11 | ||
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