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Stats Modeling the World
Quiz 3: Displaying and Describing Categorical Data
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Question 21
Essay
One manager suggesting just going to the stores in the city where the company is headquartered so they wouldn't have to travel far. What type of sampling would this be? Explain why this method is biased. Be sure to name the kind(s) of bias you describe and link it to the variable of interest.
Question 22
Essay
Max wants to start a farm to grow mussels. He needs to determine the best environment for growing them. He is going to try two different amounts of salt in the water (salinity) and three different water temperatures. For his experiment he has 18 aquariums, each with 20 mussels. He wants to see which environment produces the largest mussels. -Someone suggested that Max arrange the tanks so that six with the lowest temperature are on one end of the room, and the six with the highest temperature are at the other end of the room. Explain how this could introduce confounding into the experiment.
Question 23
Multiple Choice
Placebos are a tool for
Question 24
Multiple Choice
The principal of a small elementary school wants to select a simple random sample of 24 students. The school has 12 classrooms with 18 students in each class. She decides to randomly select two Students from each classroom. Is this a simple random sample?
Question 25
Essay
UFOs. A National Geographic survey in 2012 found that 36% of Americans believe in aliens. (The outer-space kind, not visitors from foreign countries!) If you were to randomly select 10 Americans, what is the average number of believers you'd expect in your sample? Conduct a simulation to find out! a. Explain how you will use the random numbers listed below to conduct your simulation. b. Carefully label your simulation for 2 trials.
Trial #
The run
Outcome
1
98642
20639
23185
56282
69929
2
14125
38872
94168
71622
35940
\begin{array} { | c | c c c c c | c | } \hline \text { Trial \# } &&&{ \text { The run } } &&& \text { Outcome } \\\hline 1 & 98642 & 20639 & 23185 & 56282 & 69929 & \\\hline 2 & 14125 & 38872 & 94168 & 71622 & 35940 & \\\hline\end{array}
Trial #
1
2
98642
14125
20639
38872
The run
23185
94168
56282
71622
69929
35940
Outcome
c. State your conclusion.
Question 26
Multiple Choice
A researcher wants to compare the effect of a new type of shampoo on hair condition. The researcher believes that men and women may react to the shampoo differently. Additionally, the researcher believes that the shampoo will react differently on hair that is dyed. The subjects are split into four groups: men who dye their hair; men who do not dye their hair; women who dye their hair; women who do not dye their hair. Subjects in each group are randomly assigned to the new shampoo and the old shampoo. This experiment
Question 27
Multiple Choice
Of the following, which is not a critical part of designing a good experiment?
Question 28
Multiple Choice
Suppose your local school district decides to randomly test high school students for attention deficit disorder (ADD) . There are three high schools in the district, each with grades 9-12. The school Board pools all of the students together and randomly samples 250 students. Is this a simple random sample?
Question 29
Essay
Sweet potato pie Sam is preparing sweet potato pies as his dessert for Thanksgiving. The store he shops at sells six sweet potatoes in a bag. He has found that each bag will contain 0, 1, or 2 bad sweet potatoes. Based on experience he estimates that there will be no bad sweet potatoes in 40% of the bags, one bad sweet potato in 30% of the bags, and two bad sweet potatoes in the rest. Conduct a simulation to estimate how many bags Sam will have to purchase to have three dozen sweet good potatoes. a. Describe how you will use a random number table to conduct this simulation. b. Show two trials by clearly labeling the random number table given below. Specify the outcome for each trial.
Trial
Simulation
Outcome
#
1
578821
76309
635508
29418
#
2
133026
34993
54636
17877
\begin{array}{|c|cc|c|}\hline \text { Trial } &{\text { Simulation }} && \text { Outcome } \\\hline{\# 1} & 578821 & 76309 & \\\hline & 635508 & 29418 & \\\hline{\# 2} & 133026 & 34993 & \\\hline & 54636 & 17877 & \\\hline\end{array}
Trial
#1
#2
Simulation
578821
635508
133026
54636
76309
29418
34993
17877
Outcome
c. State your conclusion.
Question 30
Multiple Choice
A company sponsoring a new Internet search engine wants to collect data on the ease of using it. Which is the best way to collect the data?
Question 31
Short Answer
Max wants to start a farm to grow mussels. He needs to determine the best environment for growing them. He is going to try two different amounts of salt in the water (salinity) and three different water temperatures. For his experiment he has 18 aquariums, each with 20 mussels. He wants to see which environment produces the largest mussels. -Identify the subjects.
Question 32
Essay
As a 4-H project, Billy is raising chickens. He feeds and waters them every day, and collects the eggs every other day, selling them to people in the neighborhood. He has found that each hen's nest will contain from 0 to 2 eggs. Based on past experience he estimates that there will be no eggs in 10% of the nests, one egg in 30% of the nests, and 2 eggs in the other 60%. Conduct a simulation to estimate how many nests Bill will have to visit to collect a dozen eggs. -Show three trials by clearly labeling the random number table given below. Specify the outcome for each trial.
57528
78305
63508
29418
90676
31993
54636
17877
31574
28042
72621
84818
\begin{array}{llllll}57528 & 78305 & 63508 & 29418\\ 90676&31993 & 54636&17877\\31574 &28042 & 72621& 84818 \end{array}
57528
90676
31574
78305
31993
28042
63508
54636
72621
29418
17877
84818
Question 33
Multiple Choice
Can watching a movie temporarily raise your pulse rate? Researchers have 50 volunteers check their pulse rates. Then they watch an action film, after which they check their pulse rates once more. Which aspect of experimentation is present in this research?
Question 34
Essay
M&Ms The Mars candy company starts a marketing campaign that puts a plastic game piece in each bag of M&Ms. 25% of the pieces show the letter "M", 10% show the symbol "&", and the rest just say "Try again". When you collect a set of three symbols "M", "&", and "M" you can turn them in for a free bag of candy. About how many bags will a consumer have to buy to get a free one? Use a simulation to find out. a. Explain how you will use the random numbers listed below to conduct your simulation. b. Carefully label your simulation for 2 trials.
Trial #
The run
Outcome
1
69074
91976
33584
94138
87637
2
48324
77928
31249
64710
02295
\begin{array}{|c|lllll|l|}\hline \text { Trial \# } &&&{\text { The run }} &&& \text { Outcome } \\\hline 1 & 69074 & 91976 & 33584 & 94138 & 87637 & \\\hline 2 & 48324 & 77928 & 31249 & 64710 & 02295 & \\\hline\end{array}
Trial #
1
2
69074
48324
91976
77928
The run
33584
31249
94138
64710
87637
02295
Outcome
c. State your conclusion.
Question 35
Short Answer
Max wants to start a farm to grow mussels. He needs to determine the best environment for growing them. He is going to try two different amounts of salt in the water (salinity) and three different water temperatures. For his experiment he has 18 aquariums, each with 20 mussels. He wants to see which environment produces the largest mussels. -Identify the response variable.
Question 36
Essay
Grape juice and blood pressure Researchers who wanted to see if drinking grape juice could help people lower their blood pressure got 120 non-smokers to volunteer for a study. They measured each person's blood pressure and then randomly divided the subjects into two groups. One group drank a glass of grape juice every day while the other did not. After sixty days the researchers measured everyone's blood pressure again. They reported that differences in changes in blood pressure between the groups were not statistically significant. a. Was this an experiment or an observational study? Explain briefly. b. Briefly explain what "not statistically significant" means in this context. c. Briefly explain why the researchers randomly assigned the subjects to the groups. d. Since everyone's blood pressure was measured at the beginning and at the end of the study, the researchers could have simply looked at the grape juice drinkers to see if their blood pressure changed. Briefly explain why the researchers bothered to include the control group. e. Briefly explain why the researchers studied only non-smokers. f. Other researchers now plan to replicate this study using both smokers and non-smokers. Briefly describe the design strategy you think they should use.
Question 37
Essay
College students' spending A consumer group wants to see if a new education program will improve the spending habits of college students. Students in an economics class are randomly assigned to three different courses on spending habits. a. What are the experimental units? b. How many factors are there? c. How many treatments are there? d. What is the response variable?
Question 38
Multiple Choice
A factory has 20 assembly lines producing a popular toy. To inspect a representative sample of 100 toys, quality control staff randomly selected 5 toys from each line's output. Was this a simple random sample?