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Statistics

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Apr 3, 2024

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Statistics Exam Quiz Question 1: Probability If you toss a fair coin three times, what is the probability of getting at least one head? a) 1/8 b) 3/8 c) 7/8 d) 1/2 Question 2: Sampling Methods Which of the following sampling methods involves dividing the population into subgroups and then randomly selecting individuals from each subgroup? a) Simple random sampling b) Cluster sampling c) Stratified sampling d) Systematic sampling Question 3: Measures of Central Tendency In a positively skewed distribution, which measure of central tendency is typically the largest? a) Mean b) Median c) Mode d) Range Question 4: Hypothesis Testing What is the critical value for a two-tailed hypothesis test with a significance level of 0.05 and degrees of freedom equal to 10? a) ±1.96 b) ±2.23 c) ±2.58 d) ±1.645 Question 5: Correlation If the correlation coefficient between two variables is -0.75, what can be said about their relationship?

a) There is a strong negative linear relationship b) There is a strong positive linear relationship c) There is a weak negative linear relationship d) There is no relationship Question 6: Probability Distribution Which probability distribution is used to model the number of successes in a fixed number of independent Bernoulli trials? a) Normal distribution b) Poisson distribution c) Binomial distribution d) Exponential distribution Question 7: Confidence Intervals If a 90% confidence interval for a population mean is (12, 20), what does this imply? a) There is a 90% chance that the population mean is between 12 and 20 b) 90% of the data falls between 12 and 20 c) There is a 10% chance that the population mean is outside the range of 12 to 20 d) There is a 90% chance that the sample mean is between 12 and 20 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 chart is most suitable for displaying the distribution of a continuous variable? a) Pie chart b) Histogram c) Bar chart d) Scatter plot

Question 10: Measures of Dispersion Which measure of dispersion is not affected by extreme values in a dataset? a) Range b) Standard deviation c) Interquartile range d) Variance

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