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1. _________ measures the degree of relationship between two variables X and Y.
a. efficient of variation
b. Variance
c. Moment
d. Correlation coefficient
2. Which of the following statements is not an example of a continuous random variable?
a.The time it takes you to finish a statistics test
b.The number of mistakes made by a typist on a randomly chosen page of a manuscript
c.The weight gain in kilograms per month for a calf
d.The price for cheesecake in New York Style cheesecake
3. Given that P(A) = 2/5, P(B) = 1/2, P(A n B) = 1/5, find the P(B/A)
Question 8Answer
a.2/5
b.2/3
c.1/2
d.1/5
4. Which of the following is correct about the difference between a one-tailed test and a two-tailed test?
a.In a one-tailed test, the rejection region is in one of the tails, while in a two-tailed test the rejection region is split between the tails.
b.In a one-tailed test, the rejection region is always in the lower tails, while in a two-tailed test the rejection region is split between the tails.
c.In a two-tailed test, the rejection region is in one of the tails, while in a one-tailed test the rejection region is split between the tails.
d.In a one-tailed test, the rejection region is always in the upper tails, while in a two-tailed test the rejection region is split between the tails.
5. The term ANOVA
a.stands for Another Numeric Observation of the Variance
b.stands for Analysis of Variance
c.has no special meaning
d.stands for Analysis of Variables
6. There are basically two types of random variables; __________ and continuous random variables.
a.Dependent
b.Discrete
c.Independent
d.Exploratory
7. In hypothesis testing the type of the test to be used (one or two tailed) is determined by
a.Acceptance region
b.Alternative hypothesis
c.Null hypothesis
d.Critical region
8. A random sample of size 18 and 12 were selected from two normal populations A and B respectively. To determine if there is a difference in the population means assuming independent sample and equal variances, the degrees of freedom will be
a.29
b.15
c.30
d.28
9. Three cards are drawn randomly from a deck of cards one after the other with replacement each time. Find the probability that the three cards are a 5, a heart and a king.
a.1/676
b.1/64
c.1/8
d.1/52
10. A formula or rule used for estimating the parameter is called
a.Estimating
b.Estimate
c.Estimation
d.Estimator
11. In estimation theory, what is a point estimate?
a.A range of values that likely contains the population parameter
b.A measure of the dispersion of the sample data
c.The average of the sample data
d.A single value that is used to approximate the population parameter
12. Which type of sampling technique involves dividing the population into groups or clusters and then randomly selecting entire clusters to form the sample?
a.Systematic sampling
b.Cluster sampling
c.Convenience sampling
d.Stratified sampling
13. Which measure is used to quantify the spread or variability of a dataset?
a.Mean
b.Skewness
c.Kurtosis
d.Standard Deviation
14. Which index number formula considers the expenditure shares of the base year while constructing the index?
a.Paasche Price Index
b.Laspeyres Price Index
c.Fisher Price Index
d.Marshall-Edgeworth Price Index
15. What is the difference between discrete and continuous data?
a.Discrete data is measured with a ruler, while continuous data is measured with a scale.
b.Discrete data can only take on specific values, while continuous data can take on any value within a range.
c.Discrete data can take on any value within a range, while continuous data can only take on specific values.
d.Discrete data is qualitative, while continuous data is quantitative.
16. What does kurtosis measure in a dataset?
a.Spread or variability
b.Tail behavior
c.Symmetry
d.Central tendency
17. Which interval estimate has a higher level of confidence?
a.A 100
b.A 95
c.A 90
d.A 99
18. Correlation is a statistical measure that describes the:
a.Difference between two variables
b.Strength and direction of the linear relationship between two variables
c.Causation between two variables
d.Proportion of variability explained by two variables
19. Which level of measurement allows for ranking and comparison of data but does not have a true zero point?
a.Nominal
b.Ordinal
c.Ratio
d.Interval
20. Goodness of fit is a statistical technique used to:
a.Assess the variability of a dataset
b.Measure the correlation between two variables
c.Compare the means of two or more groups
d.Determine if an observed frequency distribution fits an expected theoretical distribution
21. Which of the following statements best describes the relationship between a parameter and a statistic?
a.A parameter has a sampling distribution that can be used to determine what values the statistic is likely to have in repeated samples
b.A parameter has a sampling distribution with the statistic as its mean
c.A parameter is used to estimate a statistic
d.A statistic is used to estimate a parameter
22. A random or unbiased assignment of individuals or items to treatment groups in order to average out extraneous (or nuisance) factor is called
a.Error control
b.Randomization
c.Replication
d.Experiment
23. Which of the following statements is not correct?
a.To study basic properties of discrete random variables, only the tools of discrete mathematics -summation and differences - are required.
b.In general, each outcome of an experiment can be associated with a number by specifying a degree of association.
c.The number of movies you watched last year is an example of a continuous random variable.
d.The study of continuous random variables requires the continuous mathematics of the calculus integrals and derivatives.
24. Given that P(A) = 2/5, P(B) = 1/2, P(A n B) = 1/5, find the P(B/A)
a.2/5
b.2/3
c.1/5
d.1/2
25. In hypothesis testing the type of the test to be used (one or two tailed) is determined by
a.Acceptance region
b.Critical region
c.Null hypothesis
d.Alternative hypothesis
26. Which of the following statements is not an example of a continuous random variable?
a.The time it takes you to finish a statistics test
b.The weight gain in kilograms per month for a calf
c.The price for cheesecake in New York Style cheesecake
d.The number of mistakes made by a typist on a randomly chosen page of a manuscript
27. A random sample of size 18 and 12 were selected from two normal populations A and B respectively. To determine if there is a difference in the population means assuming independent sample and equal variances, the degrees of freedom will be
a.29
b.15
c.28
d.30
28. The term ANOVA
a.stands for Another Numeric Observation of the Variance
b.has no special meaning
c.stands for Analysis of Variables
d.stands for Analysis of Variance
29. Of a company's employees, 30% are women and 6% are married women. Suppose an employee is selected at random. If the employee selected is a woman, what is the probability that she is married?
a.0.018
b.0.06
c.0.30
d.0.20
30. A formula or rule used for estimating the parameter is called
a.Estimator
b.Estimation
c.Estimate
d.Estimating
31. Which of the following statements is an example of a continuous random variable?
a.Total number of students taking a particular course
b.The depth of Lake Michigan at a randomly chosen point on the surface
c.The number of gas stations in a city
d.The number of credit units you registered for this semester
32. A statistic is to a sample as ___________ is to a population.
a.Average
b.Parameter
c.Variance
d.Estimate
33. The closer the correlation coefficient is to zero, ___________ the degree of association between the variables under consideration
a.the better
b.the stronger
c.the clearer
d.the weaker
34. The probability that Tope passes an exam is 1/3 and probabilities that his brother and sister pass the same exam are 2/5 and 3/8 respectively. Find the probability that the three of them will fail the exam.
a.3/8
b.1/4
c.2/5
d.1/3
35. In hypothesis testing the type of the test to be used (one or two tailed) is determined by
a.Alternative hypothesis
b.Null hypothesis
c.Critical region
d.Acceptance region
36. In a two tailed test, the level of significance is
a.Added to 2
b.Divided by 2
c.Multiplied by 2
d.Subtracted from 2
37. Two random samples each of size 18 was selected from two normal populations, A and B, respectively. To determine if significant difference exists in the population means. Assume that the samples are related, the degrees of freedom for the test to be carried out is
a.34
b.17
c.35
d.9
38. There are basically two types of random variables; __________ and continuous random variables.
a.Discrete
b.Dependent
c.Independent
d.Exploratory
Which type of sampling technique involves dividing the population into groups or clusters and then randomly selecting entire clusters to form the sample?
a.Systematic sampling
b.Stratified sampling
c.Cluster sampling
d.Convenience sampling
39. In hypothesis testing, what is the level of significance (alpha) commonly set at to test the null hypothesis?
a.0.05
b.0.10
c.0.001
d.0.01
40. What is the difference between discrete and continuous data?
a.Discrete data is measured with a ruler, while continuous data is measured with a scale.
b.Discrete data is qualitative, while continuous data is quantitative.
c.Discrete data can take on any value within a range, while continuous data can only take on specific values.
d.Discrete data can only take on specific values, while continuous data can take on any value within a range.
41. Which level of measurement allows for ranking and comparison of data but does not have a true zero point?
a.Interval
b.Nominal
c.Ratio
d.Ordinal
42. What is the primary purpose of statistics in scientific research?
a.To make data more confusing
b.To create fancy charts and graphs
c.To summarize and analyze data
d.To prove a hypothesis
43. In estimation theory, what is a point estimate?
a.The average of the sample data
b.A single value that is used to approximate the population parameter
c.A measure of the dispersion of the sample data
d.A range of values that likely contains the population parameter
44. Which type of data is categorical and can be organized into groups or categories with no inherent order?
a.Ordinal data
b.Nominal data
c.Interval data
d.Interval data
45. Which decision-making technique involves listing all possible alternatives and their associated outcomes in a table to systematically evaluate the best option?
a.SWOT analysis
b.Fishbone diagram
c.Pareto analysis
d.Careto analysis
46. Which index number formula considers the expenditure shares of the base year while constructing the index?
a.Laspeyres Price Index
b.Fisher Price Index
c.Marshall-Edgeworth Price Index
d.Paasche Price Index
47. Which type of sampling technique involves selecting every nth item from the population to form the sample?
a.Cluster sampling
b.Systematic sampling
c.Stratified sampling
d.Convenience sampling
BATCH B
The closer the correlation coefficient is to zero, ___________ the degree of association between the variables under consideration
a.the stronger
b.the weaker
c.the better
d.the clearer
In hypothesis testing the type of the test to be used (one or two tailed) is determined by
a.Critical region
b.Alternative hypothesis
c.Null hypothesis
d.Acceptance region
A random or unbiased assignment of individuals or items to treatment groups in order to average out extraneous (or nuisance) factor is called
a.Randomization
b.Experiment
c.Error control
d.Replication
In regression analysis of the form as y=β0+β1x+e, the variable x is known as
a.Yield
b.Dependent
c.Treatment
d.Independent
Which of the following statements best describes the relationship between a parameter and a statistic?
a.A parameter has a sampling distribution with the statistic as its mean
b.A parameter is used to estimate a statistic
c.A statistic is used to estimate a parameter
d.A parameter has a sampling distribution that can be used to determine what values the statistic is likely to have in repeated samples
ANOVA F-test is said to be significant if
a.the null hypothesis of equality of treatment means is rejected based on the test criteria
b.the alternative hypothesis of equality of treatment means is rejected based on the test criteria.
c.the null hypothesis of equality of treatment means is not rejected based on the test criteria.
d.the alternative hypothesis of equality of treatment means is not rejected based on the test criteria.
The fraction or ratio of a sample possessing a certain trait is called a
a.Sample
b.Proportion
c.Population
d.Mean
Which of the following statements is not correct?
a.The number of movies you watched last year is an example of a continuous random variable
b.In general, each outcome of an experiment can be associated with a number by specifying a degree of association.
c.The study of continuous random variables requires the continuous mathematics of the calculus integrals and derivatives.
d.To study basic properties of discrete random variables, only the tools of discrete mathematics -summation and differences - are required.
The probability that Tope passes an exam is 1/3 and probabilities that his brother and sister pass the same exam are 2/5 and 3/8 respectively. Find the probability that the three of them will fail the exam.
a.1/4
b.1/3
c.2/5
d.3/8
Two random samples each of size 18 was selected from two normal populations, A and B, respectively. To determine if significant difference exists in the population means. Assume that the samples are related, the degrees of freedom for the test to be carried out is
a.34
b.35
c.9
d.17
Of a company's employees, 30% are women and 6% are married women. Suppose an employee is selected at random. If the employee selected is a woman, what is the probability that she is married?
a.0.06
b.0.30
c.0.20
d.0.018
Compute the limit:limx→0sin(2x)x Question 9Select one:
a) 0
b) -1
c) 1
d) 2
Consider the linear programming problem: Maximize Z=2x+3y
subject to the constraints:x+2y≤6 and 2x+y≤8x,y≥0 What is the feasible region for this problem?
A pentagon
A quadrilateral
A hexagon
A triangle
In the chi-square test for goodness of fit, the null hypothesis assumes that:
a. There is no association between the variables being tested
b. The sample is normally distributed
c. The sample size is too small to draw any conclusions
Which level of measurement has a true zero point and allows for meaningful ratios between data points?
a) Interval
b) Ordinal
c) Nominal
d) Ratio
An index number is used to:
a. Compare two different commodities in different units
b. Track the changes in a group of related variables over time
c. Calculate the average of a set of numbers
d. Measure the price level of a specific commodity
What is the primary purpose of statistics in scientific research?
a) To prove a hypothesis
b) To make data more confusing
c) To summarize and analyze data
d) To create fancy charts and graphs
Correlation is a statistical measure that describes the:
a. Strength and direction of the linear relationship between two variables
b. Causation between two variables
c. Difference between two variables
d. Proportion of variability explained by two variables
Which measure is used to quantify the spread or variability of a dataset?
a) Kurtosis
b) Mean
c) Skewness
d) Standard Deviation
In estimation theory, what is a point estimate?
a. A measure of the dispersion of the sample data
b. A single value that is used to approximate the population parameter
c. The average of the sample data
d. A range of values that likely contains the population parameter
In hypothesis testing, what is the level of significance (alpha) commonly set at to test the null hypothesis?
a) 0.05
b) 0.10
c) 0.001
d) 0.01
Which type of data is categorical and can be organized into groups or categories with no inherent order?
a. Ordinal data
b. Nominal data
c. Interval data
d. Interval data
Which index number formula considers the expenditure shares of the base year while constructing the index?
a) Paasche Price Index
b) Fisher Price Index
c) Laspeyres Price Index
d) Marshall-Edgeworth Price Index
Which of the following statements is not an example of a continuous random variable?
a.The weight gain in kilograms per month for a calf
b.The time it takes you to finish a statistics test
c.The price for cheesecake in New York Style cheesecake
d.The number of mistakes made by a typist on a randomly chosen page of a manuscript
A formula or rule used for estimating the parameter is called
a.Estimate
b.Estimator
c.Estimation
d.Estimating
Which of the following statements is an example of a continuous random variable?
a.The number of credit units you registered for this semester
b.The depth of Lake Michigan at a randomly chosen point on the surface
c.The number of gas stations in a city
d.Total number of students taking a particular course
Three cards are drawn randomly from a deck of cards one after the other with replacement each time. Find the probability that the three cards are a 5, a heart and a king.
a.1/52
b.1/8
c.1/64
d.1/676
Which of the following statements is not an example of a discrete random variable?
a.The age of female respondents to a questionnaire about gender differences
b.The number of school-age children in a particular family
c.The number of sales a salesperson makes per year
d.The number of female respondents to a questionnaire about gender differences
Given that P(A) = 2/5, P(B) = 1/2, P(A n B) = 1/5, find the P(B/A)
a.2/3
b.1/2
c.2/5
d.1/5
The term ANOVA
a.has no special meaning
b.stands for Analysis of Variance
c.stands for Another Numeric Observation of the Variance
d.stands for Analysis of Variables
Which of the following is correct about the difference between a one-tailed test and a two-tailed test?
a.In a one-tailed test, the rejection region is always in the lower tails, while in a two-tailed test the rejection region is split between the tails.
b.In a one-tailed test, the rejection region is in one of the tails, while in a two-tailed test the rejection region is split between the tails
c.In a two-tailed test, the rejection region is in one of the tails, while in a one-tailed test the rejection region is split between the tails.
d.In a one-tailed test, the rejection region is always in the upper tails, while in a two-tailed test the rejection region is split between the tails.
Which of the following statement is true about the null hypothesis?
a.Will always contain zero
b.Must not contain zero
c.It is an initial statement about the value of the parameter
d.Can be estimated from the sample
In hypothesis testing the type of the test to be used (one or two tailed) is determined by
a.Null hypothesis
b.Alternative hypothesis
c.Acceptance region
d.Critical region
Two random samples each of size 18 was selected from two normal populations, A and B, respectively. To determine if significant difference exists in the population means. Assume that the samples are related, the degrees of freedom for the test to be carried out is
a.17
b.35
c.9
d.34
In hypothesis testing the type of the test to be used (one or two tailed) is determined by
a.Critical region
b.Acceptance region
c.Alternative hypothesis
d.Null hypothesis
ANOVA F-test is said to be significant if
a.the null hypothesis of equality of treatment means is not rejected based on the test criteria.
b.the null hypothesis of equality of treatment means is rejected based on the test criteria
c.the alternative hypothesis of equality of treatment means is not rejected based on the test criteria.
d.the alternative hypothesis of equality of treatment means is rejected based on the test criteria.
There are basically two types of random variables; __________ and continuous random variables.
a.Exploratory
b.Discrete
c.Dependent
d.Independent
In a two tailed test, the level of significance is
a.Added to 2
b.Divided by 2
c.Multiplied by 2
d.Subtracted from 2
In a two tailed test, the level of significance is
a.Divided by 2
b.Added to 2
c.Multiplied by 2
d.Subtracted from 2
A random or unbiased assignment of individuals or items to treatment groups in order to average out extraneous (or nuisance) factor is called
a.Randomization
b.Error control
c.Experiment
d.Replication
Which of the following statements best describes the relationship between a parameter and a statistic?
a.A parameter has a sampling distribution with the statistic as its mean
b.A parameter is used to estimate a statistic
c.A parameter has a sampling distribution that can be used to determine what values the statistic is likely to have in repeated samples
d.A statistic is used to estimate a parameter
In regression analysis of the form as y=β0+β1x+e, the variable x is known as
a. Treatment
b.Dependent
b. Independent
d.Yield
Which of the following statements is not correct?
a.The number of movies you watched last year is an example of a continuous random variable
b.In general, each outcome of an experiment can be associated with a number by specifying a degree of association.
c.To study basic properties of discrete random variables, only the tools of discrete mathematics -summation and differences – are required.
d.The study of continuous random variables requires the continuous mathematics of the calculus integrals and derivatives.