10. The table below summarizes results from a study of people who refused to answer sur- vey questions. Using a significance level of 0.05, test to see if the age group of people is independent of their refusal to answer survey questions. (You may use calculator short- cuts, but you must still write your hypotheses, the numbers obtained from the calculator, and your conclusion.)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Chapter10: Statistics
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10. The table below summarizes results from a study of people who refused to answer sur-
vey questions. Using a significance level of 0.05, test to see if the age group of people is
independent of their refusal to answer survey questions. (You may use calculator short-
cuts, but you must still write your hypotheses, the numbers obtained from the calculator,
and your conclusion.)
Age
18-21
22-29 30-39 40-49 50-59 60 and over Totals
262 252 143 145
209
1091
36
29
38
60
200
23
285
288 172 183
269
1291
Responded 80
Refused 14
Totals 94
11. Sam collects a sample of 200 hobbit heights and determines their average height is
39.8 inches with a standard deviation of 4.4 inches. Assume the heights are normally
distributed (and do not use information from the Middle Earth Almanac in the last ques-
tion).
(a) Use Sam's sample to test his theory, with a 0.05 significance level, that the average
height of a hobbit is actually 39.7 inches.
(b) Use Sam's sample to test his theory, with a 0.05 significance level, that the standard
deviation in hobbit heights is less than 5.1 inches.
Transcribed Image Text:10. The table below summarizes results from a study of people who refused to answer sur- vey questions. Using a significance level of 0.05, test to see if the age group of people is independent of their refusal to answer survey questions. (You may use calculator short- cuts, but you must still write your hypotheses, the numbers obtained from the calculator, and your conclusion.) Age 18-21 22-29 30-39 40-49 50-59 60 and over Totals 262 252 143 145 209 1091 36 29 38 60 200 23 285 288 172 183 269 1291 Responded 80 Refused 14 Totals 94 11. Sam collects a sample of 200 hobbit heights and determines their average height is 39.8 inches with a standard deviation of 4.4 inches. Assume the heights are normally distributed (and do not use information from the Middle Earth Almanac in the last ques- tion). (a) Use Sam's sample to test his theory, with a 0.05 significance level, that the average height of a hobbit is actually 39.7 inches. (b) Use Sam's sample to test his theory, with a 0.05 significance level, that the standard deviation in hobbit heights is less than 5.1 inches.
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