Statistical Sciences 2244A/B Lecture Notes - Lecture 3: Sampling Distribution
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three randomly selected households are surveyed the numbers of people in the households are 2,6 and 7 assume that samples of size n=2 are randomly selected with replacement from the population of 2,6 and 7 listed below are the nine different samples
2,2 2,6 2,7 6,2 6,6 6,7 7,2 7,6 7,7
A) find the variance of each of the nine samples then summerize the sampling distribution of the variances in the format of a table representing the probability distribution of the distinct variance values
S^2 | Probability |
0, 0.3, or 0.3 | Ā |
1, 6.3 or 0.5 | Ā |
8, 4 or 25 | Ā |
40.5, 6.3 or 12.5 | Ā |
(1 point) Among drivers who have had a car crash in the last year, 110 were randomly selected and categorized by age, with the results listed in the table below.
If all ages have the same crash rate, we would expect (because of the age distribution of licensed drivers) the given categories to have 16%, 44%, 27%, 13% of the subjects respectively. At the 0.05 significance level, test the claim that the distribution of crashes conforms to the distribution of ages.
Ā Age | Ā Under 25 | 25-44 | 45-64 | Over 64 |
Drivers | 42 | 25 | 15 | 28 |
The test statistic is
The critical value is
The conclusion is
āÆ A. There is sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distribution of ages.
āÆ B. There is not sufficient evidence to warrant the rejection of the claim that the distribution of crashes conforms to the distribution of ages.
Ā