Introduction to Statistics — Unit test Answers

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Students apply for admission to different academic programs within a college. Because of space, each program can only accept a limited number of students. The table below shows the acceptance data for a selection of majors in the college. Acceptance Status AcceptedRejectedTotalCollege MajorChemistry721890Business6535100Spanish451560 Total18268250What is the probability that a student was accepted, given that the student applied to the business program?

A
26.0%
B
35.0%
C
35.7%
D
65.0%
3

An appliance store sells microwave ovens and has many different styles to choose from. A handout from the store contains details about brand, type (countertop or over-range), number of power settings, and color. Which of the variables is a discrete quantitative variable?

A
brand
B
type
C
power settings
D
color
10

The relative frequency table displays the percentage of responses of students who were asked, "What caffeinated drinks do you consume?"CoffeeTeaSodaEnergy drink0.830.750.750.25The picture graph below displays the results of the survey.Is this graph misleading?

Question illustration
A
No, because the pictures accurately represent the percentage of each type of drink.
B
No, because the height of each picture corresponds to the percentage of each type of drink.
C
Yes, because the height of each picture does not correspond to the percentage of each type of drink.
D
Yes, because the areas of the pictures do not accurately represent the proportions of each type of drink.
11

A scientist is studying the characteristics of butterflies and collects a random sample of butterflies to measure. Information regarding the wingspan of the butterflies is shown in the histogram below.

Question illustration
A
Wingspan is a categorical variable.
B
Wingspan is a discrete quantitative variable.
C
Wingspan is a continuous quantitative variable.
D
Frequency is a continuous quantitative variable.
18

A student stands at the entrance of her school and notes the colors of cars that enter the parking lot. The results are shown in the bar graph below.

Question illustration
A
Car color is a discrete variable.
B
Car color is a categorical variable.
C
Car color is a continuous variable.
D
Frequency is a discrete variable.
19

A manager of a basketball team collects information on the profile and performance of the players on the team. Which of the following is an example of a continuous quantitative variable the manager might collect?

A
the height of each player
B
the position played by each player
C
the number of games played by each player
D
the number of foul shots made by each player

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