Probability and Normal Distributions in Statistics MCQs
Probability and Normal Distributions in Statistics MCQs
Try to answer these 30 Probability and Normal Distributions in Statistics MCQs and check your understanding of the Probability and Normal Distributions in Statistics subject.
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1: Bell Shaped Distribution is a theoretical distribution with data that are symmetrically distributed around_____
A. Mean
B. Median
C. Mode
D. All of these
2: Binomial Distribution is the distribution of probabilities for each outcome of a bivariate random variable.
A. True
B. False
3: The distribution of probabilities for each outcome of a bivariate random variable is known as _____
A. Normal distribution
B. Binomial Probability Distribution
C. Skewed distribution
D. None of these
4: The distribution of probabilities for each outcome of a bivariate random variable is known as _____
A. Normal distribution
B. Binomial Probability Distribution
C. Skewed distribution
D. None of these
5: A theoretical distribution with data that are symmetrically distributed around the mean, median, and mode is known as_____
A. Symmetrical Distribution
B. Gaussian Distribution
C. Bell-shaped Distribution
D. All of these
6: A theoretical distribution with data that are symmetrically distributed around the mean, median, and mode is known as_____
A. Symmetrical Distribution
B. Gaussian Distribution
C. Normal Distribution
D. All of these
7: A theoretical distribution with data that are symmetrically distributed around the mean, median, and mode is known as_____
A. Symmetrical Distribution
B. Gaussian Distribution
C. Normal Distribution
D. All of these
8: The Real Limits for a binomial outcome, x, are_____
A. +0.5
B. -0.5
C. ± 0.5
D. ± 5
9: Standard Normal Distribution is a normal distribution with a mean equal to 0 and a standard deviation equal to _____
A. 0
B. 0.1
C. 1.1
D. 1.0
10: A formula used to convert any normal distribution with any mean and any variance to a standard normal distribution with a mean equal to 0 and a standard deviation equal to 1 is known as_____
A. Standard Normal Transformation
B. Standard skewed Transformation
C. Z Transformation
D. Both a and c
11: A type of probability distribution table displaying a list of z scores and the corresponding probabilities (or proportions of area) associated with each z score listed is known as_____
A. Z Table
B. Skewed Table
C. Unit Table
D. Unit Normal Table
12: Z Distribution is any formula used to convert any _____ distribution with any mean and any variance to a standard normal distribution with a mean equal to 0 and a standard deviation equal to 1.
A. Skewed
B. Normal
C. Varying
D. All of these
13: Z Score is a value on the _____ of a standard normal distribution.
A. X-axis
B. Y-axis
C. Slope
D. All of these
14: Z Table is a type of _____ distribution table displaying a list of z score.
A. Variance
B. Standard Deviation
C. Significance
D. Probability
15: A formula used to convert any normal distribution with any mean and any variance to a standard normal distribution with a mean equal to 0 and a standard deviation equal to 1 is known as_____
A. Z Transformation
B. Standard normal Transformation
C. Standard skewed Transformation
D. Both a and b
16: All of the following are true about normal distributions, except:
A. It is mathematically define
B. The mean, median, and mode are all located at the 50th percentile.
C. The mean and standard deviation can equal any value.
D. The distribution is asymmetrical.
17: Scores close to the mean are located in the ________ of a normal distribution.
A. Body
B. Tails
C. Most sensitive areas
D. Most uncertain areas
18: Scores on a board game were: 23 3.1 (M SD) points. Assuming these data are normally distributed, what is the probability that a competing team got 20 points or less?
A. .6660
B. .3340
C. .1660
D. .9550
19: Of these, the largest proportion in a z distribution could be:
A. The proportion of area that lies between z = +1 and z = −1.
B. The proportion of area that lies between z = 0.5 and z= −1.
C. The proportion of area that lies to the left of z = 0.
D. The proportion of area that is to the right of z = 0.
20: What is the z score for scores in the lowest 2.5%?
A. .675
B. 1.96
C. −0.25
D. −1.96
21: A researcher found that a group of rats took 18 ± 2 min (M ± SD) to learn a route to find a rewar How long did it take for 80% of the rats to learn the route?
A. Less than 16 min
B. 19.68 min
C. Less than 18 min
D. 16.32 min
22: Which of the following is not an appropriate step for the normal approximation of the binomial distribution?
A. Check for normality
B. Compute the mean and standard deviation
C. Convert raw scores to z scores using SPSS
D. Find the proportion located within the real limits
23: A researcher wants to know the probability of earning an A in a chemistry class from a population where 8% of students typically earn an If the researcher selects a sample of 400 students, then what is the mean number of students expected to be on the honor roll? Hint: This is a binomial distribution where p = 0.08 and q = 0.92.
A. 29
B. 32
C. 368
D. 200
24: In a normal distribution, the mean can take on positive or negative values.
A. True
B. False
25: All z scores above and below the mean are positive.
A. True
B. False
26: All z scores above and below the mean are positive.
A. True
B. False
27: A z score for the mean in a normal distribution is always equal to 1.
A. True
B. False
28: A researcher selected data that were normally distributed and appropriately concluded that about 95% of scores occurred between two standard deviations below and above the mean.
A. True
B. False
29: A binomial probability distribution is the distribution of random outcomes for binomial variables such as a coin toss.
A. True
B. False
30: ___________ would probably be distributed using an intensive strategy.
A. Popular magazines.
B. Television sets.
C. Men's suits.
D. Digital cameras.
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Probability and Normal Distributions in Statistics MCQs
