Quantitative Quiz 18MarkMarch 7, 2025Quantitative Aptitude Welcome to your Quantitative Quiz 18 In simple linear regression, what does the slope represent? The expected value of the dependent variable when the independent variable is zero The correlation between the dependent and independent variables The change in the dependent variable for a one-unit change in the independent variable The variance of the independent variable None Which of the following statistical tests is used when comparing the variances of two independent groups? T-test F-test Z-test Paired t-test None Which of the following is the appropriate measure of central tendency for a highly skewed distribution? Mean Median Mode Variance None Which of the following is an assumption of the one-way ANOVA test? The data must be normally distributed The sample size must be small The independent variables must be categorical The dependent variable is categorical None Which of the following best describes the sampling distribution of the sample mean? It is a normal distribution for small sample sizes It becomes more skewed as the sample size increases It becomes approximately normal as the sample size increases, according to the Central Limit Theorem It is always normally distributed regardless of sample size None Which of the following distributions is most commonly used to model count data or the number of events occurring in a fixed interval? Normal distribution Binomial distribution Poisson distribution Exponential distribution None What does a correlation coefficient of -1 indicate? There is no relationship between the variables There is a perfect positive linear relationship between the variables There is a perfect negative linear relationship between the variables The relationship between the variables is weak None What is the null hypothesis in a typical hypothesis test? A statement of equality or no effect A statement that the observed data is incorrect A statement that the alternative hypothesis is true A statement that all population parameters are zero None Which of the following is a non-parametric test? One-way ANOVA T-test Mann-Whitney U test Z-test None What does a standard deviation of zero indicate about a dataset? All the values are different from the mean All the values are equal to the mean The data is perfectly normal The data is skewed None Which of the following methods is used to estimate the relationship between two variables when there is a linear relationship? Regression analysis Cluster analysis Factor analysis Principal component analysis None What is the term for a statistical value that describes the strength and direction of a linear relationship between two variables? Variance Covariance Standard deviation Correlation coefficient None Which of the following is the assumption made when performing a t-test for independent samples? The population variances are unequal The sample sizes must be equal The samples are dependent The samples are independent and normally distributed None Which of the following is an example of a continuous random variable? Number of cars in a parking lot Time it takes to run a marathon Number of heads in 10 coin flips The color of a shirt None Which of the following is an example of a nominal variable? Temperature Gender Education level Age None Which of the following is used to describe the spread of a probability distribution? Mean Median Standard deviation Mode None What does it mean if a dataset has a skewness value of 0? The data is highly skewed to the right The data is highly skewed to the left The data is perfectly symmetrical The data has no central tendency None Which of the following is an example of a hypothesis test for a single sample? One-way ANOVA Paired sample t-test Z-test for a single mean Chi-square test for independence None Which of the following is the correct definition of a sampling error? The difference between the population parameter and the sample statistic The difference between the sample mean and population mean The difference between two sample means The difference between the observed and expected frequencies None Which of the following represents the probability that an event will not occur? Complementary probability Conditional probability Cumulative probability Joint probability None Which of the following statements is true about the t-distribution? It is used when the population standard deviation is known It is used for large sample sizes only It is symmetric and bell-shaped, like the normal distribution, but with heavier tails It is used for categorical data analysis None What does it mean if a dataset is normally distributed? The data follows a perfectly straight line The data has a bell-shaped curve with symmetry about the mean The data is positively skewed The mean is greater than the median None Which of the following is an example of a discrete probability distribution? Normal distribution Exponential distribution Poisson distribution Log-normal distribution None What does the term "effect size" refer to in statistical analysis? The magnitude of the observed difference between groups The sample size required for a test The level of statistical significance The error associated with the hypothesis test None Which of the following is true about the normal distribution? It is skewed to the right It is bimodal It has a bell-shaped curve, symmetric about the mean It is skewed to the left None What does a high R-squared value indicate in regression analysis? A strong relationship between the independent and dependent variables A weak relationship between the independent and dependent variables That the model is inappropriate for the data That the data is normally distributed None Which of the following tests is appropriate when comparing the means of more than two groups? One-sample t-test Paired t-test One-way ANOVA Chi-square test None What is the primary assumption of the simple linear regression model? The dependent and independent variables are categorical The data follows a non-linear pattern The relationship between the variables is linear The sample size is large None What is the main purpose of a p-value in hypothesis testing? To determine the probability that the null hypothesis is true To calculate the sample mean To assess the strength of evidence against the null hypothesis To calculate the power of the test None In a hypothesis test, what is the significance level (α)? The probability of failing to reject the null hypothesis The probability of rejecting the null hypothesis when it is true The probability that the test will detect an effect when there is one The probability that the null hypothesis is true None 1 out of 6 Time's upTime is Up! Post Views: 124
