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Statistics

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Apr 3, 2024

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Statistics Exam Quiz Question 1: Descriptive Statistics What is the mean, median, and mode of the following dataset? 5,7,9,10,10,12,15,185,7,9,10,10,12,15,18 a) Mean: 10; Median: 10; Mode: 10 b) Mean: 10.5; Median: 10; Mode: 10 c) Mean: 10; Median: 10.5; Mode: 10 d) Mean: 10.5; Median: 10.5; Mode: 10 Question 2: Probability If you roll a fair six-sided die, what is the probability of rolling an even number? a) 1/2 b) 1/3 c) 1/6 d) 2/3 Question 3: Normal Distribution In a normal distribution, approximately what percentage of data falls within one standard deviation of the mean? a) 34% b) 68% c) 95% d) 99.7% Question 4: Hypothesis Testing In hypothesis testing, what is the significance level typically set at to reject the null hypothesis? a) 0.05 b) 0.10 c) 0.20 d) 0.01 Question 5: Correlation A correlation coefficient of -0.85 indicates:
a) A strong positive linear relationship b) A moderate negative linear relationship c) A weak positive linear relationship d) A strong negative linear relationship Question 6: Sampling Which of the following sampling methods ensures every member of the population has an equal chance of being selected? a) Convenience sampling b) Systematic sampling c) Stratified sampling d) Simple random sampling Question 7: Inferential Statistics What type of statistical analysis is used to determine if there is a significant difference between the means of two independent groups? a) Chi-square test b) Paired t-test c) Independent t-test d) Analysis of Variance (ANOVA) Question 8: Measures of Dispersion Which of the following measures of dispersion is influenced the most by extreme values? a) Range b) Interquartile range c) Standard deviation d) Variance Question 9: Confidence Intervals If a 95% confidence interval for the mean weight of apples is (50, 60) grams, what does this imply? a) There is a 95% chance that the true mean weight falls between 50 and 60 grams b) 95% of the apples weigh between 50 and 60 grams c) There is a 5% chance that the true mean weight falls outside the range of 50 to 60 grams d) There is a 95% chance that the sample mean is between 50 and 60 grams
Question 10: Regression Analysis In regression analysis, what does the coefficient of determination (R- squared) measure? a) The strength of the relationship between the independent and dependent variables b) The average change in the dependent variable for a one-unit change in the independent variable c) The proportion of the total variation in the dependent variable explained by the independent variable d) The slope of the regression line
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