STAT412
Homework 6
Due Monday, March 28
1. Suppose the United States Golf Association wants to compare the distances associated with four
different brands of golf clubs when struck with a driver. Iron Byron, the USGA’s robotic golfer, is used to
hit a random sample of ten balls of each brand in a random sequence. The distance is recorded for each
hit, and the results are shown below.
Brand A
Brand B
Brand C
Brand D
251.2
263.2
269.7
251.6
245.1
262.9
263.2
248.6
248.0
265.0
277.5
249.4
251.1
254.5
267.4
242.0
265.5
264.3
270.5
246.5
250.0
257.0
265.5
251.3
253.9
262.8
270.7
262.8
244.6
264.4
272.9
249.0
254.6
260.9
275.6
247.1
248.8
255.9
266.5
245.9
Analyze the data using =.05. Perform multiple comparisons if necessary.
2. The quality of the picture on a home satellite TV depends on the strength of the signal. Professional
installation is often necessary to properly align a dish and tune in a satellite. A study was conducted to
determine whether the signal strength was related to the satellite company and/or the geographic region.
For each company and region, a random sample of satellite TV users was obtained, and the signal strength
of each system was measured (in dBV). The data are given in the table below.
Company A
Company B
Company C
Northeast
65.9 73.9
70.9 74.9
71.3 76.8
71.4 65.2
64.0 64.2
76.7 65.1
Southeast
64.0 61.4
55.0 52.1
64.3 64.0
61.3 68.2
60.8 62.9
57.0 69.6
Midwest
55.9 64.2
67.2 74.3
69.4 68.6
61.2 64.9
58.3 64.4
69.3 73.1
Analyze the data using =.05. Perform multiple comparisons if necessary.
West
54.7 69.9
62.2 65.5
65.6 67.8
55.2 66.0
62.4 62.9
64.5 71.3