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

Cluster sampling, because residents can be grouped by city and a few cities can be randomly selected

Question 4

Which of the following best describes the level of measurement for 'Satisfaction level with campus dining (Very Unsatisfied, Unsatisfied, Neutral, Satisfied, Very Satisfied)'?

Accepted Answer

Ordinal

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 mouse lived for 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

In a university class of 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 an Environmental Club member?

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

A pain level rated on a scale from 1 to 10 is best classified as:

Accepted Answer

Quantitative; Ordinal

Question 11

If you want to find 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 12

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

Accepted Answer

$$15$$

Question 13

What is the relative frequency for the class 32–38, given there are 4 students in that class and 20 data points in total?

Accepted Answer

$$0.20$$

Question 14

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

Accepted Answer

38–44

Question 15

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

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

Accepted Answer

$$z = -1$$

Question 16

Which of the following is a statistic in the context of the campus gym survey?

Accepted Answer

The percentage of students in the sample who use the gym (78%)

Question 17

Which sampling technique is most appropriate for selecting a random sample of students from a university where students are grouped by major, and you want to ensure each major is represented?

Accepted Answer

Stratified sampling

Question 18

If the frequency of the mode class is 7, which class has the highest frequency?

Accepted Answer

38–44

Question 19

Which of the following best describes the population in the campus gym survey scenario?

Accepted Answer

All students at the university

Question 20

A student’s eye color (Brown, Blue, Green, etc.) is best classified as:

Accepted Answer

Qualitative; Nominal

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

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