Read each of the research descriptions and decide which of the following would b
ID: 3134312 • Letter: R
Question
Read each of the research descriptions and decide which of the following
would be the most appropriate display of the data collected from the research.
(A) side-by-side boxplots
(B) a histogram
(C) a scatterplot
(D) a two-way table
Write the letter of your choice AND an explanation of why you think it is correct. Your
explanation should include a) identification of the explanatory and response variables and
b) what type of variables they are.
Answer and Explanation
i) A researcher suspects that males and females prefer different colors in cars. He surveys 100 potential car buyers and records their gender and their color preference.
ii) A market researcher for a cereal company thinks that the amount of shelf space the cereal gets in a supermarket impacts the weekly sales of the product. He selects a sample of 30 supermarkets and measures the amount of shelf space (in inches) and finds out the weekly sales (in $).
iii). A different researcher at the same cereal company thinks that the shelf the cereal is displayed on (top, middle, or bottom) is more important in influencing weekly sales. She collects data from 30 supermarkets about which shelf the product is on and the weekly sales (in $).
A student is taking a very short multiple-choice quiz in which each question has 5 choices - - A, B, C, D, E. The student hasn’t studied so he randomly selects an answer for each of the 3 questions.
a) What is the probability that he gets all 3 questions correct?
b) What is the probability that the student in the previous question gets at least one answer correct?
3) Two students are randomly selected.
Let A represent the event “the first student lives in New Hampshire”
Let B represent the event “the second student lives in New Hampshire”
a) Are the events A and B disjoint? Explain your answer.
b) Referring to the question above, are the events A and B
independent? Explain your answer.
4) P(A) =.3 and P(B)= .7. If A and B are disjoint events, what is
the P(A and B)?
Job Application Outcome
Applicant Age
Hired
Not hired
Total
Younger than 40
79
1165
1244
40 or older
27
189
216
Total
106
1354
1460
For the table above, would it be more appropriate to calculate conditional row percentages or conditional column percentages? Explain your answer.
Job Application Outcome
Applicant Age
Hired
Not hired
Total
Younger than 40
40 or older
Total
Fill in the table with the appropriate percentages.
Provide an explanation of what the data shows.
Job Application Outcome
Applicant Age
Hired
Not hired
Total
Younger than 40
79
1165
1244
40 or older
27
189
216
Total
106
1354
1460
For the table above, would it be more appropriate to calculate conditional row percentages or conditional column percentages? Explain your answer.
Job Application Outcome
Applicant Age
Hired
Not hired
Total
Younger than 40
40 or older
Total
Fill in the table with the appropriate percentages.
Provide an explanation of what the data shows.
Explanation / Answer
4) WE HAVE BEEN GIVEN P(A) =0.3
P(B) = 0.7
AND ALSO GIVEN THAT A AND B ARE DISJOINT SET
DISJOINT SET ARE THOSE SET WHICH HAVE THERE INTERSECTION AS AN EMPTY
MEANS THERE IS NO ELEMENT IN THE INTERSECTION
THAT MEANS SET (A AND B) = {NULL SET}
THEREFORE AS THE SET IS EMPTY THEREFORE THE PROBABILITY P(A AND B) = 0
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