25 May Question Chi Square and Anova
Question
This exercise has the following two tasks:
Task 1: Consider the three samples listed in the table:
Inferences from Two Samples
Column A: 1,3,5
Column B: 0,6,2,5,2
Column C: 3,12,6,3
A B C
1 0 3
3 6 12
5 2 6
5 3
2
Obtain the sample mean and the sample standard deviation of each of the three samples.
– Obtain total sum of squares (SST,) treatment sum of squares (SSTR,) and error sum of
squares (SSE) by using the de?ning formulas and verify that the one-way ANOVA identity holds.
– Obtain SST, SSTR, and SSE by using the computing formulas.
– Construct the one-way ANOVA table.
Task 2: Read the case study titled “Losses to Robbery” and answer the corresponding
questions:
Losses to Robbery: The Federal Bureau of Investigation conducts surveys to obtain
information on the value of losses from various types of robberies. The 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.
Highway Gas Station Convenience Store
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