1. A pizza company wants to know how undergraduate students at a local universit
ID: 3224316 • Letter: 1
Question
1. A pizza company wants to know how undergraduate students at a local university feel about their menu options. An employee hands out surveys to 500 students selected at random of a total of 15,000 undergraduates. Only 250 questionnaires are returned. What is the size of the population in this example?
a. 250 students
b. 500 students
c. 15,000 students
d. 500 + 250 = 750 students
2. A 2,000-pound shipment of tomatoes is considered for purchase by a pizza shop. The shop selects 75 pounds of potatoes from 4 points in the shipment for inspection. If the fraction of acceptable potatoes is high enough in the 75-pound selection of tomatoes, the shipment will be purchased. What is the sample in this example?
a. all 300 tomatoes in the selection
b. all tomatoes in the United States
c. all tomatoes in the 75-pound selection
d. All 2,000 pounds of tomatoes in the shipment
3. Researchers have noted that children who learn to play a musical instrument through taking lessons have higher average SAT scores, higher average GPA, and higher average class rank. This could be a good example of an ________________ study.
a. response
b. explanatory
c. experimental
d. observational
4. When two variables are not related to each other, even though they may have a very high correlation because they both result from some other, possibly hidden factor, this is an example of
a. an outlier
b. extrapolation
c. a lurking variable
d. None of the above
5. A candy company manufactures bags of colorful candies. The company reports that it makes 20% each of green and red candies and 15% each of yellow, blue, and orange candies. The rest of the candies are white. If you pick a candy at random, what is the probability that it is white?
a. 0.10
b. 0.15
c. 0.20
d. 0.25
Explanation / Answer
1. Here population size is = 15000 students. So option (c) is the correct choice.
2. Here all tomatoes in the 75 pound selection is the sample. So option (c) is the correct choice.
3. The given example is a good example of an explanatory studey. So option (b) is the correct choice.
4. This is due to some spurious correlation, and this is an example of a lurking variable. So Option (c) is the correct choice.
5. Green and red candies contain (2*20)% = 40% of the total candies. Yellow, Blue and Orange candies contain (3*15)% = 45% of the total candies. Remaining (100-40-45)% = 15% candies are white.
So if we pick a candy at random, the probability that it will be white = 0.15. So Option (b) is the correct choice.
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