An Introduction to Mathematical Statistics and Its Applications (6th Edition)
An Introduction to Mathematical Statistics and Its Applications (6th Edition)
6th Edition
ISBN: 9780134114217
Author: Richard J. Larsen, Morris L. Marx
Publisher: PEARSON
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Chapter 8.2, Problem 4Q

For Questions 8.2.1-8.2.12 use the flowchart in Figure 8.2.4 to identify the experimental designs represented. In each case, answer whichever of the questions on p. 427 are necessary to make the determination.

Male cockroaches can be very antagonistic toward other male cockroaches. Encounters may be fleeting or quite spirited, the latter often resulting in missing antennae and broken wings. A study was done to see whether cockroach density has any effect on the frequency of serious altercations. Ten groups of four male cockroaches (Byrsotria fumigata) were each subjected to three levels of density: high, intermediate, and low. The following are the numbers of “serious” encounters per minute that were observed ( 16 ) .

Group High Intermediate Low
1 0.30 0.11 0.12
2 0.20 0.24 0.28
3 0.17 0.13 0.20
4 0.25 0.36 0.15
5 0.27 0.20 0.31
6 0.19 0.12 0.16
7 0.27 0.19 0.20
8 0.23 0.08 0.17
9 0.37 0.18 0.18
Average 0.25 0.18 0.20
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Please help on parts f, g, and h (subpart 3)
For questions 1 to 3 consider the town of Alpha. In Alpha one can eat at the following places: Dave’s Diner, Tony’s Trottoria, Paulie’s Pizzeria, Rick’s Restaurant, Bob’s Bistro, Pete’s Pub, Gregg’s Grill and Carl’s Café. A visitor is spending the day in Alpha and will need to go out for breakfast, lunch and dinner. Assume that each restaurant has a different menu for breakfast, lunch and dinner. Suppose the visitor is a food critic for a traveling publication and was sent to the town and charged with the task of reviewing 3 different restaurants for their service. Since he is only concerned with the service he does not care about which particular menu he is having (i.e. the breakfast menu, the lunch menu or the dinner menu). This being the case, how many different ways can he choose 3 different restaurants to review. Show work.
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