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Free Practice Quiz Question List

7 Basic Statistical Applications Online Quiz Questions

Use this free practice quiz with 20 questions to review 7 Basic Statistical Applications, test your knowledge, and prepare for your next test or exam.

20 questions
01
Choose one
1 point

Which type of graph is most appropriate for displaying counts of responses in categories such as transportation method?

  1. A

    Histogram

  2. B

    Bar chart

  3. C

    Scatterplot

  4. D

    Box plot

02
Choose one
1 point

A company wants to estimate the true average commute time of all its employees. Which quantity is the population parameter?

  1. A

    The average commute time of the 100 sampled employees, because it is calculated from data

  2. B

    The number of employees in the company, because it describes the group being studied

  3. C

    The true average commute time for all employees, because it describes the population

  4. D

    The sample size of 100, because it determines how much data were collected

03
Choose one
1 point

For the data set 4, 5, 5, 6, 204,\ 5,\ 5,\ 6,\ 20, which measure of center is generally more appropriate for describing a typical observation, and why?

  1. A

    The mean, because it uses every observation

  2. B

    The range, because it includes the minimum and maximum

  3. C

    The standard deviation, because it measures distance from the mean

  4. D

    The median, because it is resistant to the high outlier

04
Choose one
1 point

Researchers randomly assign participants to a treatment group or a control group. What conclusion is this design intended to support?

  1. A

    It permits generalization from the sample to the population

  2. B

    It supports a causal comparison between treatment groups

  3. C

    It guarantees that the sample represents every subgroup

  4. D

    It eliminates all variability in the response variable

05
Choose all
1 point

Which statements correctly describe independence of events A and B? Select all that apply.

  1. A

    Knowing that B occurred does not change the probability of A

  2. B

    Independent events must be mutually exclusive

  3. C

    The intersection probability equals the product of the individual probabilities

  4. D

    Independent events must have equal probabilities

06
Choose all
1 point

Which conditions are required for a random variable to have a binomial distribution? Select all that apply.

  1. A

    There is a fixed number of trials

  2. B

    The response can take any real value in an interval

  3. C

    The trials are independent

  4. D

    Each trial has the same success probability

07
Written response
1 point

Calculate the sample mean of the data set 4, 5, 5, 6, 204,\ 5,\ 5,\ 6,\ 20. Enter the value as a number.

08
Written response
1 point

What is the statistical term for the distribution of a statistic, such as Xˉ\bar{X}, over repeated samples of the same size from the same population?

09
Fill in the blank
1 point

A manager groups customer waiting times into intervals. The most appropriate graph for showing the resulting distribution is a .

10
Fill in the blank
1 point

The function that gives the probability of each possible value of a discrete random variable is called the .

11
Open ended
1 point

A store claims that 60% of its customers use its loyalty card. Describe a simulation that would show how sample proportions from samples of 100 customers vary under this claim, and explain what the resulting distribution would represent.

12
Choose one
1 point

A survey contains three yes-or-no questions. How many different response patterns are possible?

  1. A

    6

  2. B

    7

  3. C

    8

  4. D

    9

13
True or false
1 point

True or false: For a continuous random variable, the probability of any one exact value is typically zero.

  1. A

    True

  2. B

    False

14
Choose one
1 point

For the data set 4,5,5,6,204,5,5,6,20, which value is the median?

  1. A

    4

  2. B

    5

  3. C

    6

  4. D

    8

15
Written response
1 point

A manager records waiting times of 3,4,4,5,6,7,8,153,4,4,5,6,7,8,15 minutes. What is the sample mean? Enter the numerical value in minutes.

16
Choose one
1 point

Which expression represents the probability that a customer renews given that the customer uses the mobile application?

  1. A

    The probability of renewal divided by the probability of being an app user

  2. B

    The probability of renewal and app use divided by the probability of app use

  3. C

    The probability of app use divided by the probability of renewal

  4. D

    The probability of renewal and app use divided by the probability of renewal

17
Written response
1 point

What distribution models the number of successes in a fixed number of independent Bernoulli trials when the success probability is constant?

18
Choose one
1 point

Which study design provides the strongest basis for concluding that a treatment caused an observed difference?

  1. A

    A convenience sample of volunteers

  2. B

    A survey of the target population

  3. C

    A randomized experiment with random assignment to treatments

  4. D

    An observational study comparing existing groups

19
True or false
1 point

True or false: If a customer makes a purchase with theoretical probability 0.40, then any small sample of customers must have a relative frequency of purchases close to 0.40.

  1. A

    True

  2. B

    False

20
True or false
1 point

True or false: If waiting times are measured in minutes, the sample standard deviation is measured in minutes, while the sample variance is measured in square minutes.

  1. A

    True

  2. B

    False