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TUTORIALS
BUM 2413 Applied Statistics: SEM I 2011/2012
Tutorial CHAPTER 6
GOODNESS OF FIT & CONTINGENCY TABLE
University Malaysia Pahang
142
BUM 2413 Applied Statistics: SEM I 2011/2012
1. Students who are home-schooled often attend their local schools to participate in various types of activities such as sports or musicals ensembles. According to the government, 82% of home-scholars receive their education entirely at home, while 12% attend school up to 9 hours per week, and 6% spend from 9 to 25 hours per week at school. A survey of 85 students who are home-schooled revealed the following information about where there receive their education. Entirely at home 50 Up to 9 hours 25 9 to 25 hours 10
At α = 0.05, is there sufficient evidence to conclude that the proportions differ from those stated by the government?
2. A researcher wishes to see if the five ways (drinking decaffeinated beverages, taking a nap, going for a walk, eating a sugary snack, other) people use to combat midday drowsiness are equally distributed among office workers. A sample of 60 office workers is selected, and the following data are obtained. Method Number beverage 21 nap 16 walk 10 snack 8 other 5
At α = 0.01, can it be concluded that there is no preference?
3. Human blood type is grouped into four types (A, B, AB, O). The percentages of American with each type of blood area as follows: O, 43%; A, 40%; B, 12%; and AB, 5%. At a recent blood drive at a large university, the donors were classified as shown below. O 60 A 65 B 15 AB 10
At α = 0.05, is there sufficient evidence to conclude that the proportions differ from those stated above? 4. A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four varieties with probabilities of 0.10, 0.30. 0.35, and 0.25, respectively, from the least to most expensive. A sample of 500 purchases resulted in sales of 46, 162, 191, and 101 of the respected qualities. Does this
BUM 2413 Applied Statistics: SEM I 2011/2012
Tutorial CHAPTER 6
GOODNESS OF FIT & CONTINGENCY TABLE
University Malaysia Pahang
142
BUM 2413 Applied Statistics: SEM I 2011/2012
1. Students who are home-schooled often attend their local schools to participate in various types of activities such as sports or musicals ensembles. According to the government, 82% of home-scholars receive their education entirely at home, while 12% attend school up to 9 hours per week, and 6% spend from 9 to 25 hours per week at school. A survey of 85 students who are home-schooled revealed the following information about where there receive their education. Entirely at home 50 Up to 9 hours 25 9 to 25 hours 10
At α = 0.05, is there sufficient evidence to conclude that the proportions differ from those stated by the government?
2. A researcher wishes to see if the five ways (drinking decaffeinated beverages, taking a nap, going for a walk, eating a sugary snack, other) people use to combat midday drowsiness are equally distributed among office workers. A sample of 60 office workers is selected, and the following data are obtained. Method Number beverage 21 nap 16 walk 10 snack 8 other 5
At α = 0.01, can it be concluded that there is no preference?
3. Human blood type is grouped into four types (A, B, AB, O). The percentages of American with each type of blood area as follows: O, 43%; A, 40%; B, 12%; and AB, 5%. At a recent blood drive at a large university, the donors were classified as shown below. O 60 A 65 B 15 AB 10
At α = 0.05, is there sufficient evidence to conclude that the proportions differ from those stated above? 4. A large supermarket carries four qualities of ground beef. Customers are believed to purchase these four varieties with probabilities of 0.10, 0.30. 0.35, and 0.25, respectively, from the least to most expensive. A sample of 500 purchases resulted in sales of 46, 162, 191, and 101 of the respected qualities. Does this