Question 1

In a survey, 72% of all students use the campus gym. A random sample of 120 students was taken, and 78% reported using the gym. Which of the following correctly identifies the parameter in this scenario?

Accepted Answer

The percentage of all students who use the gym (72%)

Question 2

Which of the following variables is Quantitative and measured at the Ratio level?

Accepted Answer

The number of minutes a student exercises per day

Question 3

A researcher wants to determine the favorite type of music among all residents of Florida. Which sampling technique is most appropriate, and why?

Accepted Answer

Simple Random Sampling, because every resident has an equal chance of being selected

Question 4

Which of the following best describes the level of measurement for eye color (Brown, Blue, Green, etc.)?

Accepted Answer

Nominal

Question 5

Given the frequency distribution table below, what is the class width?

Class Limits:
26–32
32–38
38–44
44–50
50–55

Accepted Answer

$$6$$

Question 6

For the class with limits 38–44, what is the class midpoint?

Accepted Answer

$$41$$

Question 7

A laboratory mouse lived 60 days. Given that the mean lifespan is $$\mu = 50$$ days and the standard deviation is $$\sigma = 5$$ days, what is the z-score for this mouse?

Use the formula:

$$z = \frac{x - \mu}{\sigma}$$

Accepted Answer

$$z = 2$$

Question 8

A university class has 50 students. 20 are Biology majors, 18 are Environmental Club members, and 6 are both. What is the probability that a randomly selected student is either a Biology major or a member of the Environmental Club?

Use the formula:

$$P(A \cup B) = P(A) + P(B) - P(A \cap B)$$

Accepted Answer

$$0.64$$

Question 9

Which of the following variables is measured at the Interval level?

Accepted Answer

Temperature measured in degrees Fahrenheit

Question 10

If you want to estimate the average GPA of the 25 students in a small honors seminar class, which method should you use?

Accepted Answer

Census, because the population is small and accessible

Question 11

What is the cumulative frequency up to and including the class 38–44, given the following frequencies: 26–32: 4, 32–38: 4, 38–44: 7?

Accepted Answer

$$15$$

Question 12

Which class in the frequency distribution table is the mode class?

Accepted Answer

38–44

Question 13

A mouse lived 45 days. What is the z-score for this mouse, given $$\mu = 50$$ days and $$\sigma = 5$$ days?

$$z = \frac{x - \mu}{\sigma}$$

Accepted Answer

$$z = -1$$

Question 14

Which of the following is a Statistic in the context of a survey?

Accepted Answer

The percentage of students in the sample who use the gym

Question 15

What is the relative frequency for the class 32–38, given its frequency is 4 and the total number of data points is 20?

Accepted Answer

$$0.20$$

Question 16

Which sampling technique divides the population into groups based on a characteristic and then samples from each group?

Accepted Answer

Stratified Sampling

Question 17

Pain level rated on a scale from 1 to 10 is best classified as which level of measurement?

Accepted Answer

Ordinal

Question 18

If a mouse lived 55 days, what is the z-score? ($$\mu = 50$$, $$\sigma = 5$$)

$$z = \frac{x - \mu}{\sigma}$$

Accepted Answer

$$z = 1$$

Question 19

Which of the following is NOT a characteristic of a census?

Accepted Answer

It is always more practical than sampling

Question 20

Which variable is Qualitative and measured at the Nominal level?

Accepted Answer

Political party affiliation

STA2014-0001 Practice Exam 1: Step-by-Step Statistics Guidance

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