MCQ
Which of the following is an example of an ordinal piece of data?
Mason got 3rd place in the race
Napoleon Bonaparte is believed to have been 67 inches tall
The current temperature is 58 degrees Fahrenheit
Peyton Manning wears jersey number 18
If a teacher records the hair color of all of her students using the categories: brown, blond, red, black, and other, the data could be presented using which one of these methods?
Confidence interval
Histogram
Box plot
Bar graph
A sample is defined as which of the following?
A subset of the population
A set used to calculate parameters
A set used to calculate a population mean
A set of different populations
What is the range of the following data set?
13 24 19 27 22 19 14 21 23
14
19
21
10
If six runners run a race, in how many different orders can they finish the race?
108
36
30
720
You have 9 books and are giving one book to each of your 4 friends. How many ways can you do this?
9⋅4
9!4!
94
9⋅8⋅7⋅6
If the outcomes of events A and B do not affect each other, then events A and B are said to be
Collectively exhaustive
Independent
Dependent
Mutually exclusive
A coin is flipped and a card is drawn from a deck of cards. The card is checked for its suit (Spade = S, Club = C, Diamond = D, Heart = R). Identify the sample space of the experiment.
S={(H,S), (H,C), (H,D), (H,R), (T,S), (T,C), (T,D), (T,R)}
S={(T,S), (T,C), (T,D), (T,R)}
S={(H,S), (H,D), (T,C), (T,R)}
S={(H,S), (H,C), (H,D), (H,R)}
If A is an event, then which of the following is always true?
0 < P (A) < 1
P (A) > 0
P (A) = 0 or P (A) = 1
0 ≤ P (A) ≤ 1
When waiting at a train station, the mean waiting time for the next train is 8 minutes. The situation is memoryless, meaning that no matter how long you have already waited, the expected amount of additional time you must wait is still 8 minutes. If X is the amount of time you must wait for a train, what type of random variable is X?
Exponential random variable
Uniform random variable
Binomial random variable
Normal random variable
Which of the following describes a discrete random variable?
The area of the kitchen in a random American household
The weight of the heaviest person in a random American household
The capacity of the refrigerator in a random American household
The number of children in a random American household
Which of these is a property of discrete probability distributions?
The cumulative density function will be continuous
Individual event probabilities can be positive or negative
The sum of all probabilities is 1
The probability distribution is bell-shaped
What is the area on a standard normal distribution to the right of z = -1.56 equal to?
0.9406
0.0594
0.8728
0.4364
What is the area under a standard normal distribution between z = -1.10 and z = 0.89?
0.6776
0.1357
0.9490
0.8133
Assume that a random variable X is normally distributed with mean μ=37.4 and standard deviation σ=3.8. Compute P(X>35.2).
0.7190
0.1080
0.2910
0.8920
Assume that a random variable X is normally distributed with mean μ=51 and standard deviation σ=23. Compute P(X<42).
0.5476
0.4510
0.6517
0.3483
For a specific z-score, the value of the cumulative standard normal distribution is 0.9906. That z-score is:
1.96
0.84
2.35
1.79
Given that X is a normally distributed random variable with mean μ=30 and standard deviation σ=5, use the Empirical Rule to estimate the probability that X is less than 35.
0.34
0.84
0.95
0.68
If the heights of adult women are normally distributed with mean μ=65.6 inches and standard deviation σ=2.7 inches, which of the following heights would be considered unusual for an adult woman to have?
59.8 inches
62.3 inches
70.1 inches
65.6 inches
A random sample of 93 ACT scores from a high school have a sample mean of 17.7. The standard deviation for all ACT scores is set at 6.0. Construct a 95% confidence interval for the population mean. Round to the nearest tenth.
(16.5, 18.9)
(17.2, 20.4)
(15.9, 19.7)
(15.5, 18.1)
If a sample of size n is taken from a population, the Central Limit Theorem states that
For large n, the sample mean will be exactly equal to the population mean
For large n, the population is approximately normal regardless of the sample mean
For large n, the sampling distribution of the sample mean is approximately normal, regardless of the shape of the population
For any population, the sampling distribution of the sample mean is approximately normal, regardless of the value of n
A candy company sells a large bag of 100 fun size candy bars. The bag is labeled to weigh 2000 grams (averaging 20 grams/bar). The candy bars produced have a mean weight of 20.3 grams and a standard deviation of 1.0 grams. What is the probability that the mean weight of the 100 candy bars in a bag is less than the 20.0 grams necessary to meet the weight labeled on the bag?
0.0493
0.0013
0.6179
0.3821
Two confidence intervals use the same sample data. One confidence interval is a 90% confidence interval and the other is a 95% confidence interval. Compare the widths of these two confidence intervals.
The 95% confidence interval is wider than the 90% confidence interval
The two confidence intervals are the same width
It is unknown which will be wider without knowing the sample size and standard deviation
The 90% confidence interval is wider than the 95% confidence interval
In 2007, a Pew survey of 35,000 Americans found that 78.4% of them identify as Christian. Use this data to construct a 95% confidence interval to estimate the true proportion of Americans that identify as Christian. (Round to three decimal places.)
(0.783, 0.808)
(0.777, 0.781)
(0.754, 0.827)
(0.780, 0.788)
Find the p-value if you are conducting a two-tailed hypothesis test where ρ=0.5, p^=0.47, and n=1200.
0.0376
0.0004
0.0600
0.1542