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Statistics

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Apr 3, 2024

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Question 1: Descriptive Statistics Given the dataset: 5, 7, 8, 10, 12, 15, 18, what is the mode? a) 8 b) 10 c) 12 d) There is no mode Question 2: Probability If you roll a fair six-sided die, what is the probability of rolling an odd number? a) 1/2 b) 1/3 c) 1/6 d) 1 Question 3: Sampling Methods Which sampling method divides the population into subgroups based on a characteristic and then selects samples from each subgroup? a) Simple random sampling b) Convenience sampling c) Stratified sampling d) Systematic sampling Question 4: Hypothesis Testing What is the alternative hypothesis in a one-tailed test? a) H1: There is no difference b) Ha: There is a difference c) H1: There is a difference d) Ha: There is no difference Question 5: Correlation If the correlation coefficient between two variables is -0.70, what does this suggest about their relationship? a) There is a strong positive linear relationship b) There is a moderate positive linear relationship c) There is a strong negative linear relationship d) There is no linear relationship
Question 6: Probability Distribution Which probability distribution is appropriate for modeling the number of successes in a fixed number of independent trials? a) Normal distribution b) Poisson distribution c) Binomial distribution d) Exponential distribution Question 7: Confidence Intervals What does a 95% confidence interval represent? a) There is a 95% chance that the true population parameter lies within the interval b) There is a 5% chance that the true population parameter lies within the interval c) There is a 95% chance that the sample mean lies within the interval d) There is a 5% chance that the sample mean lies within the interval Question 8: Regression Analysis In a simple linear regression model, what does the slope coefficient represent? a) The average change in the dependent variable for a one-unit change in the independent variable b) The intercept of the regression line c) The strength of the relationship between the independent and dependent variables d) The proportion of the total variation in the dependent variable explained by the independent variable Question 9: Data Visualization Which type of plot is used to display the distribution of a single continuous variable? a) Pie chart b) Histogram c) Scatter plot d) Box plot Question 10: Measures of Dispersion Which measure of dispersion is not influenced by extreme values in a dataset?
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