### Quantitative Aptitude MCQ Quiz - 4

1. Which of the following is not true with regard to the binomial distribution?

[A]The outcomes are independent of each other

[B]Each outcome can be classified as a success or failure

[C]The probability of success is constant from trial to trial

[D]The random variable of interest is continuous

2. Which of the following best describes the expected value of a discrete random variable?

[A]It is the geometric average of all possible outcomes of the variable

[B]It is the simple average of all possible outcomes of the variable

[C]It is the weighted average of all possible outcomes of the variable

[D]It is the outcome of the variable, which has the highest probability of occurrence

3. When sampling without replacement from a finite population such that the probability of success is not constant from trial to trial, the data follow a

[A]Binomial distribution

[B]Uniform distribution

[C]Normal distribution

[D]Hypergeometric distribution

4. A graphical method of representing states of nature and courses of action may be referred to as a

[A]Decision tree

[B]Histogram

[C]Scatter diagram

[D]Frequency distribution

5. As the sample size increases

[A]The variation of the sample mean from the population mean becomes larger

[B]The variation of the sample mean from the population mean becomes smaller

[C]The variance of the sample becomes less than the variance of the population

[D]The standard deviation of the sample becomes less than the standard deviation of the population

6. The sampling distribution of the mean is a distribution of

[A]Means of individual populations

[B]Observations within a population

[C]Observations within a sample

[D]Means of all possible samples of a specific size taken from a population

7. When estimating the population mean from a sample taken from a normal population with unknown variance, the t distribution may be used with number of degrees of freedom equal to

[A]Sample size

[B]Sample size + 1

[C]Sample size – 1

[D]0

8. Which type of sampling is appropriate when the population consists of well-defined groups such that the elements within each group are heterogeneous and each group is a representative of the population as a whole?

[A]Simple random sampling

[B]Cluster sampling

[C]Stratified sampling

[D]Systematic sampling

9. If a hypothesis is tested at a significance level of 10% then it means that

[A]There is a 10% probability that the null hypothesis will be rejected though it is true

[B]There is a 10% probability that the null hypothesis will be false

[C]There is a 10% probability that the null hypothesis will be true

[D]There is a 90% probability that the alternative hypothesis will be false

10. Which of the following distributions should be used in hypothesis testing when the population standard deviation is not known and the sample size is less than 30?

[A]Chi-square distribution

[B]Poisson distribution

[C]Normal distribution

[D]t-distribution

11. In which of the following conditions a Type I error is said to have occurred, in testing a hypothesis?

[A]The sample statistic is incorrectly calculated

[B]The sample variance is incorrectly calculated

[C]Null hypothesis is rejected though it is true

[D]Null hypothesis is accepted though it is false

12. The Y intercept in the simple linear regression equation (X is the independent variable and Y is the dependent variable) represents the

[A]True value of Y when X = 0

[B]Change in average value of Y per unit change in X

[C]Expected value of Y when X = 0

[D]Standard deviation of the values of X

13. Which of the following is true with regard to simple regression and correlation analyses?

[A]Correlation analysis provides a measure, which indicates how well an equation for estimating one variable from another, explains the changes in the estimated variable

[B]If the coefficient of correlation between two variables is close to 1, then there is no correlation between the two variables

[C]If the slope of a regression equation is positive, then the coefficient of correlation between the variables involved is negative

[D]If the slope of a regression equation is negative, then the dependent variable decreases as the independent variable decreases

14. The slope of the simple linear regression equation (X is the independent variable and Y is the dependent variable) represents the

[A]Mean value of Y when X = 0

[B]Change in mean value of Y per unit change in X

[C]True value of Y for a fixed value of X

[D]Variance of the values of X

15. Which of the following is indicated if the standard error of estimate for a regression equation is zero?

[A]The standard deviation of the observed values of the dependent variable is zero

[B]The standard deviation of the independent variable is zero

[C]The observed value of the dependent variable will always be equal to its estimated value, for a given value of the independent variable

[D]There is no correlation between the variables involved

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