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Chapter 13: Q.13.2 (page 526)
How many degrees of freedom does an -curve have? What are those degrees of freedom called?
There are two degrees of freedom in the F-curve.
The numerator's first number is termed degrees of freedom, whereas the denominator's second number is called degrees of freedom.
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| Sample 1 | Sample 2 | Sample 3 | Sample 4 |
| 7 | 5 | 6 | 3 |
| 4 | 9 | 7 | 7 |
| 5 | 4 | 5 | 7 |
| 4 | 4 | 4 | |
| 8 | 4 |
For an -curve with , find
a. -
b. .
c. -
Fill in the missing entries in the partially completed one-way ANOVA tables.
Show that, for two populations, , where is the pooled variance defined in Section 10.2 on page 407 . Conclude that is the pooled sample standard deviation, .
Losses to Robbery. The Federal Bureau of investigation conducts surveys to obtain information on the value of losses from various types of robberies. Results of the surveys are published in Population-at-Risk Rates and Selected Crime indicators, Independent simple random samples of reports for three types of robberies-highway, gas station, and convenience store gave the following data, in dollars, on the value of losses.
a. What does MSTR measure?
b. What does MSE measure?
c. Suppose that you want to perform a one-way ANOVA to compare the mean losses among the three types of robberies. What conditions are necessary? How crucial are those conditions?
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