Questions 36 – 40. No work or explanation required unless specifically asked for
ID: 3181134 • Letter: Q
Question
Questions 36 – 40. No work or explanation required unless specifically asked for.
36. Imagine a spinner with 3 colors - - Red, White, Blue - - and the colors are the same size. Someone plans to spin the pointer 2 times, but will stop spinning if the pointer lands on Blue. List all the possible outcomes of this random experiment. [Use the letters R, W, B]
37. Three of the four following statements contain a mistake. Identify the statement which could be true and explain the mistake in each of the others.
A) The correlation between age and color preference is 0.51.
B) The correlation between the pounds of fertilizer used and the height of bean plants is .44.
C) In catfish, there is a high correlation (1.05) between their length and their age.
D) There is a correlation of 0.23 between religion and political party affiliation.
38. A survey of banks revealed the following distribution for the interest rate being charged on a home loan.
Interest Rate
4.90% to 4.99%
5.00% to 5.09%
5.10% to 5.19%
5.20% to 5.29%
5.30%
and above
Probability
0.12
0.23
0.24
0.35
0.06
If a bank is selected at random from this distribution, what is the chance that the interest rate charged on a home loan will exceed 5.19%?
39. Questions 39 and 40 are based on the following table:
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
A researcher wants to determine if job applicants’ ages affect their chance of being hired. Would it be more appropriate to calculate conditional row percentages or conditional column percentages? Explain your answer.
40.
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.
36. Imagine a spinner with 3 colors - - Red, White, Blue - - and the colors are the same size. Someone plans to spin the pointer 2 times, but will stop spinning if the pointer lands on Blue. List all the possible outcomes of this random experiment. [Use the letters R, W, B]
Explanation / Answer
36.
The list of possible outcomes is:
[ RRR, RRW, RWR, WRR, WWR, WRW, RWW, WWW]
38)
.35 +.06 = .41
41%
Hope this will be helpful. Thanks :)
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