At the downtown office of First National Bank, there are two tellers. Last week, the tellers made the following numbers of errors: 1, 2, 4, 1, and 2.
a. How many different samples of two tellers are possible?
b. Not available in Connect.
c. Compute the mean of the sample means, and compare it with the population mean. (Round the final answers to 1 decimal place.)
The mean of the sample means is:
The population mean is:
Both means are:
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Answer:
a)
10
b)
Samples | Values |
1 | 1,2 |
2 | 1,4 |
3 | 1,1 |
4 | 1,2 |
5 | 2,4 |
6 | 2,1 |
7 | 2,2 |
8 | 4,1 |
9 | 4,2 |
10 | 1,2 |
Sample mean
Sample mean | Probability | P(X) *E(X) |
1 | 0.1 | 0.1 |
1.5 | 0.4 | 0.6 |
2 | 0.1 | 0.2 |
2.5 | 0.2 | 0.5 |
3 | 0.2 | 0.6 |
E(X) | 2 |
Population mean = (1+2+4+1+2)/5 =2.0
SAMPLE MEAN = POPULATION MEAN = 2.0
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