Assignment:
Interpreting Values of When generating random digits as shown below, we can test the generated digits for goodness-of-fit with the distribution in which all of the digits are equally likely. What does an exceptionally large value of the test statistic suggest about the goodness-of-fit? What does an exceptionally small value of the test statistic (such as 0.002)suggest about the goodness-of-fit?
Exercise
Goodness-of-Fit A New York Times CBS News Poll typically involves the selection of random digits to be used for telephone numbers. The New York Times states that "within each (telephone) exchange, random digits were added to form a complete telephone number, thus permitting access to listed and unlisted numbers." When such digits are randomly generated, what is the distribution of those digits? Given such randomly generated digits, what is a test for "goodness-of-fit"?
Observed Expected Frequencies A wedding caterer randomly selects clients from the past few years and records the months in which the wedding receptions were held. The results are listed below (based on data from The Amazing Almanac). Assume that you want to test the claim that weddings occur in different months with the same frequency. Briefly describe what O and E represent, then find the values of O and E.
|
Month
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jan.
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Feb.
|
March
|
April
|
May
|
june
|
July
|
Aug.
|
Sept.
|
Oct.
|
Nov.
|
Dec.
|
|
Number
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5
|
8
|
7
|
9
|
13
|
17
|
11
|
10
|
10
|
12
|
8
|
10
|