Concept explainers
Goodness-of-fit test. A statistics analysis is to be done on a set of data consisting of 1,000 monthly salaries. The analysis requires the assumption that the sample was drawn from a
Table for Exercise 10.57
Interval | Probability | Expected Frequency | Observed Frequency |
Less than $800 | .023 | 23 | 26 |
Between $800 and $1,000 | .136 | 136 | 146 |
Between $1,000 and $1,200 | .341 | 341 | 361 |
Between $1,200 and $1.400 | .341 | 341 | 311 |
Between $1,430 and $1,600 | .136 | 136 | 143 |
Above $1,630 | .023 | 23 | 13 |
a. Compute the x2 statistic based on the observed and expected frequencies—just as you did n Section 10.2 α – .01.
b. Find the tabulated x2 value when α = .05 and there are 5 degrees of freedom. (There are k: 1 = 5 df associated with this x2 statistic.)
c. Based on the x2 statistic and the tabulated x2 value, is there evidence that the salary distribution is nonnormal?
d. Find an approximate observed significance level for the test in part c.
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Statistics for Business and Economics (13th Edition)
- Glencoe Algebra 1, Student Edition, 9780079039897...AlgebraISBN:9780079039897Author:CarterPublisher:McGraw Hill