Statistics and Probability MCQs

Statistics and Probability MCQs

Our experts have gathered these Statistics and Probability MCQs through research, and we hope that you will be able to see how much knowledge base you have for the subject of Statistics and Probability by answering these multiple-choice questions.
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1: _________ are the characteristics of the individuals of the population being studied.

A.   Parameter

B.   Variables

C.   Statistic

D.   Individual

2: A critical value, z subscript alphazα, denotes the _______.

A.   Z score with an area of fish to its right

B.   The sample size is greater than 30 and the population standard deviation is not​ known

C.   Point estimate

3: A multiple regression model has _____.

A.   At least two dependent variables

B.   More than one dependent variable

C.   More than one independent variable

D.   Only one independent variable

4: A null hypothesis makes a claim about a __________.

A.   Population parameter

B.   Sample statistic

C.   Sample mean

D.   Type II error

5: A population is ________.

A.   A group of individuals of a single species that live and interact in one area

B.   The sum of all individuals of a species in all locations

C.   A group of individuals of several interacting species that live in one area

D.   A group of cells that have similar function

E.   A group of individuals of several interacting species that interact in multiple ecosystems

6: A probability distribution for all possible values of a sample statistic is known as a _____.

A.   Simple random sample

B.   Sampling distribution

C.   Sample statistic

D.   Parameter

7: A sample standard deviation is the best point estimate of the ___________.

A.   Population range

B.   Population skewness

C.   Population mode

D.   Population standard deviation

8: A scatter chart ____.

A.   Data series

B.   Exploded

C.   Combination

D.   Column

E.   Compares trends over uneven time or measurement intervals

9: A uniform distribution will occur when __________.

A.   Spatial arrangement of individuals of a single species within a particular area or ecosystem

B.   An orchid endemic to a mountaintop forest where logging is occurring

C.   Individuals are competing for an evenly distributed resource such as space

D.   Include the effects of disease, predators, and food on a single species within a community

10: All else being equal, increasing the level of confidence desired will _______.

A.   Decrease the margin of error.

B.   Tighten the confidence interval and increase the margin of error. Incorrect

C.   Increase precision.

D.   Increase the margin of error.

E.   The confidence interval.

11: An experiment may have ____________.

A.   Only one outcome

B.   Only two outcomes

C.   One or more outcomes

D.   Several events

12: An independent-measures study uses ____.

A.   The two samples both have n = 30 with sample variances of 20 and 25.

B.   ​a different group of participants for each of the treatment conditions being compared

C.   17 for repeated-measures and 18 for independent-measures

D.   None of these

13: Based on the regression equation, we can _______________.

A.   Predict the value of the dependent variable given a value of the independent variable

B.   Independent variabled

C.   The y intercept

D.   The coefficient of determination is 0.49

14: Complete the formula: sample size = 0.25 * ( _____ /acceptable error)2

A.   Quality control

B.   Fitness for use

C.   Certainty factor

D.   Scatter diagram

15: For a data set, half of the observations are always greater than the _______.

A.   Median

B.   Mode

C.   Mean

D.   Geometric mean

16: For the repeated-measures t statistic, df = _____.

A.   N1 + n2

B.   N−1

C.   N1+n2−1

D.   N1+n2−2

17: If a = 0.05, and df = 4, the value of c 2crit = ____.

A.   7.815

B.   0.711

C.   9.488

D.   11.070

18: If a binomial distribution has p = .30, then q = ____.

A.   0.30

B.   0.50

C.   0.70

D.   1.30

19: If n = 18 and a = 0.052 tailed, the value of tcrit is ____.

A.   47

B.   39

C.   -41

D.   40

20: If n1 = 6, n2 = 8 and a = 0.052 tail, ucrit value is ____.

A.   42

B.   6

C.   8

D.   40

21: If two events are independent, then their joint probability is computed with _________.

A.   The special rule of addition

B.   The special rule of multiplication

C.   The general rule of multiplication

D.   The bayes theorem

22: If x is a binomial random variable with n=10 and p=0.8, the mean value of x is _____.

A.   10

B.   0.8

C.   8

D.   80

23: If you are asked to find the 85th percentile, you are being asked to find _____.

A.   An area corresponding to a​ z-score of

B.   -0.85

C.   A data value associated with an area of 0.85 to its left

D.   A data value associated with an area of 0.85 to its right

E.   An area corresponding to a​ z-score of 0.8

24: In a contingency table, we describe the relationship between ________.

A.   Two variables measured at the nomical or ordinal level

B.   Two variables, one at the nominal level and one at the interval level

C.   Two variables measured at either the interval or ratio level

D.   A single variable at two different time points

25: In order to test a nondirectional hypothesis, a researcher would use a __________ test.

A.   One-tailed

B.   Alternative

C.   Critical

D.   Two-tailed

26: In the t test for independent groups, ____.

A.   We estimate

B.   Increases

C.   Sample

D.   Decrease

27: Mean absolute deviation, standard deviation, and variance are all measures of the __________.

A.   Variability of a data set

B.   Three quartiles and two extreme values

C.   The inter-quartile range

D.   Taking the square root of the variance

28: Parameters are associated with __________; whereas, statistics are associated with __________.

A.   Populations; samples

B.   Inferential; samples

C.   Samples; populations

D.   Samples; inferential

29: Probabilities are important information when __________.

A.   Summarizing a data set with a frequency chart

B.   Applying descriptive statistics

C.   Computing cumulative frequencies

D.   Using inferential statistics

30: The points at xequals=_______ and xequals=_______ are the inflection points on the normal curve.

A.   The points are x= μ− σ and x = μ+ σ

B.   Standard error of the mean

C.   Both

D.   None of these

31: The probability distribution of all possible values of the sample mean is called the ____.

A.   Central probability distribution

B.   Sampling distribution of the sample mean

C.   Andom variation

D.   Standard error

32: The proportion of scores less than z = 0.00 is _________.

A.   0.00

B.   0.50

C.   1.00

D.   -0.50

33: The range rule of thumb roughly estimates the standard deviation of a data set as _______.

A.   S= RANGE/6

B.   S= RANGE/2

C.   S= RANGE/4

D.   S= RANGE/3

34: The sample mean is _____ the confidence interval.

A.   At the beginning of

B.   At the end of

C.   In the center of

D.   Excluded from

35: The sampling distribution of chi-square is ____.

A.   Skewed

B.   Varies with df

C.   Is a theoretical distribution

D.   All of the other three options

36: The sum of the differences between sample observations and the sample mean is equal to _______.

A.   Zero

B.   The mean deviation

C.   The range

D.   The standard deviation

37: The t distribution approaches the _______________ distribution as the sample size ___________.

A.   Binomial, increases

B.   Binomial, decreases

C.   Z, increases

D.   Z, decreases

38: The t test for correlated groups requires that ____.

A.   The population variance is known

B.   The standard error of the mean is given

C.   The sampling distribution of variance is normally distributed

D.   None of the other answers is correct

39: The t test for independent means is used when each group is tested ____________.

A.   One-tailed test

B.   Only once

C.   Only two groups in total

D.   None of these

40: ______ are the graphical components of regression analysis.

A.   Master black belts

B.   Check sheets

C.   Scatter diagrams

D.   Return on quality

41: ________ is defined as recorded facts or figures.

A.   Data

B.   A problem

C.   Role

D.   True

42: A _____ is a variable that changes the nature of the relationship between two other variables.

A.   Independent variable

B.   Dependent variable

C.   Moderate variable

43: ________ probability represents the likelihood of a single event occurring by itself.

A.   Intersection

B.   Joint

C.   Conditional

D.   Simple

44: Methods used that summarize or describe characteristics of data are called _______ statistics.

A.   Descriptive

B.   Overall

C.   Inferential

D.   Average

45: The critical value for a hypothesis test _______.

A.   True

B.   T Test

C.   Test statistic for a hypothesis test

D.   The significance level and determines the boundary for the rejection region

46: The size of the sampling error is ________.

A.   Directly related to the sample size—in other words, the larger the sample size, the larger the sampling error

B.   Directly related to the population mean—in other words, the larger the mean, the larger the sampling error

C.   Inversely related to the sample size—in other words, the larger the sample size, the smaller the sampling error

D.   Inversely related to the population standard deviation—in other words, the smaller the standard deviation, the larger the sampling error

47: The true sampling error is usually not known because ________.

A.   µ is unknown

B.   µ is a random variable

C.   2 is unknown

D.   The sample mean cannot be computed

48: The word and in probability implies that we use the ________ rule.

A.   Subtraction

B.   Division

C.   Addition

D.   Multiplication

49: The variance is equal to the _____.

A.   Square root of the standard deviation

B.   Inverse value of the standard deviation

C.   Squared value of the standard deviation

D.   Absolute value of the standard deviation

50: When a correlation exists, lowering the range of either of the variables will _________.

A.   Raise the correlation

B.   Lower the correlation

C.   Not change the correlation

D.   Produce a causal relationship