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Statistics and Data Analysis

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The covariance between two variables X and Y is 20. The standard deviations of X and Y are 4 and 5 respectively. What is the correlation coefficient?
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In hypothesis testing, if p-value = 0.03 and α = 0.05, what is the decision?
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If Q1 = 15 and Q3 = 35, what is the Interquartile Range (IQR)?
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If MSB = 150 and MSW = 25 in ANOVA, what is the F statistic?
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If a distribution has mean = 40, median = 42, and mode = 45, the distribution is:
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For the dataset: 2, 4, 6, 8, 10, calculate the range.
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For the dataset 5, 7, 9, 11, 13, what is the median?
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For the dataset 2, 4, 4, 6, 8, what is the mode?
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A sample of size 36 has mean 100 and population standard deviation 12. What is the standard error of the mean?
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A sample of size 25 has standard deviation 10. What is the standard error?
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