Quantitative Quiz 19MarkMarch 7, 2025Quantitative Aptitude Welcome to your Quantitative Quiz 19 Which of the following is true about the chi-square distribution? a) It is symmetric around the mean b) It is used for testing relationships between categorical variables c) It can take negative values d) It is used for comparing means of two independent groups None What is the term for the probability that a test will correctly reject a false null hypothesis? a) Type I error b) Power of the test c) Confidence level d) Type II error None Which of the following is the correct definition of a Type I error? a) Failing to reject a false null hypothesis b) Rejecting a true null hypothesis c) Accepting the null hypothesis when it is false d) Failing to reject a true null hypothesis None In regression analysis, what does multicollinearity refer to? a) A strong relationship between the dependent and independent variables b) A condition where two or more independent variables are highly correlated c) A situation where the sample size is too small d) A situation where the residuals are not normally distributed None Which of the following is an example of a continuous probability distribution? a) Binomial distribution b) Poisson distribution c) Normal distribution d) Hypergeometric distribution None Which of the following methods is used to estimate the relationship between two variables when the relationship is not linear? a) Logistic regression b) Linear regression c) Polynomial regression d) Time-series analysis None What does the z-test for a population mean assume? a) The sample size is large b) The population standard deviation is unknown c) The population mean is zero d) The sample size is small None What is the primary objective of a two-sample t-test? a) To compare the means of a sample and a population b) To compare the variances of two independent groups c) To compare the means of two independent groups d) To assess the relationship between two categorical variables None Which of the following is a property of a binomial distribution? a) It is used for continuous data b) It models the probability of success in a single trial c) It models the number of successes in a fixed number of independent trials d) It requires normally distributed data None Which statistical test would you use to analyze the difference between observed and expected frequencies? a) T-test b) Chi-square test c) ANOVA d) Z-test None What is the effect of increasing the sample size on the standard error? a) It increases the standard error b) It decreases the standard error c) It has no effect on the standard error d) It makes the sample size irrelevant None Which of the following describes the distribution of the sample mean according to the Central Limit Theorem? a) It will be the same shape as the population distribution b) It will become more normal as the sample size increases, even if the population distribution is not normal c) It will become uniform as the sample size increases d) It will become more skewed as the sample size increases None Which of the following is true regarding the variance of a population? a) It is the square root of the standard deviation b) It is the average of the squared differences from the mean c) It can be negative d) It is the sum of all data points None What does the term "statistical significance" mean in hypothesis testing? a) The result is unlikely to have occurred by chance b) The result is highly likely to occur by chance c) The sample size is very large d) The null hypothesis is true None What does a 95% confidence interval mean for a population parameter? a) The population parameter will definitely fall within the interval b) The population parameter has a 95% chance of falling within the interval c) The sample mean will fall within the interval 95% of the time d) There is a 95% chance that the sample statistic is within the interval None Which of the following is used to test if two variables are independent in a contingency table? a) T-test b) Z-test c) Chi-square test d) F-test None What is the expected value in probability theory? a) The probability of an event occurring b) The sum of all probabilities c) The average value of a random variable, weighted by its probabilities d) The range of the data None Which of the following is a measure of the spread of a data set? a) Mean b) Mode c) Variance d) Median None What does a "95% confidence interval" imply about the precision of an estimate? a) The estimate is guaranteed to be correct 95% of the time b) There is a 95% probability that the sample mean is equal to the population mean c) If the experiment were repeated many times, 95% of the calculated intervals would contain the true population parameter d) The true population parameter is 95% likely to fall within the interval None In a regression model, what does the coefficient of determination (R-squared) indicate? a) The proportion of variance in the dependent variable explained by the independent variable b) The strength of the correlation between two variables c) The mean squared error of the model d) The difference between observed and predicted values None Which of the following is a property of the Poisson distribution? a) It models the number of successes in a fixed number of independent trials b) It is used for continuous data c) It models the number of events occurring in a fixed interval of time or space d) It is symmetric and bell-shaped None What is the purpose of using a log-transformation in data analysis? a) To make the data normally distributed b) To increase the spread of the data c) To reduce the impact of extreme outliers d) To decrease the sample size None What is a z-score? a) A measure of the central tendency of the data b) The difference between the sample mean and population mean c) A standardized score indicating how many standard deviations a data point is from the mean d) The average value of a dataset None What is the purpose of a confidence interval? a) To estimate the population parameter b) To calculate the sample mean c) To estimate the variability of a sample d) To test a hypothesis about a population parameter None Which of the following is true about a negatively skewed distribution? a) The mean is greater than the median b) The mean is equal to the median c) The median is greater than the mean d) The distribution is symmetric None What is the term used to describe a hypothesis test where both the null and alternative hypotheses are two-sided? a) One-tailed test b) Two-tailed test c) Paired test d) Independent test None Which of the following is a characteristic of a t-distribution? a) It is used when the sample size is large b) It has heavier tails than the normal distribution c) It is always normal d) It is used for categorical data None In multiple regression analysis, what does the term "multicollinearity" refer to? a) A condition where the dependent and independent variables are highly correlated b) A condition where two or more independent variables are highly correlated with each other c) A condition where the residuals are not normally distributed d) A condition where the data violates homoscedasticity None Which of the following is a non-parametric test? a) One-way ANOVA b) T-test c) Mann-Whitney U test d) Z-test None What is the purpose of the Durbin-Watson statistic? a) To test for the presence of autocorrelation in regression residuals b) To test for the normality of residuals c) To calculate the standard error of the regression d) To test the goodness of fit of a regression model None 1 out of 6 Time's upTime is Up! 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