[CUSTOM SOLUTION] Sampling Variability

Number of Alcoholic Drinks Consumed per Week: 5, 6, 5, 1, 7, 4, 3, 0, 3, 5, 6, 4, 2, 0, 1, 3, 8, 7, 4, 4.1. (2 points). The above distribution captures the number of alcoholic drinks, on average, twenty college age students consume in a week. Using the data, calculate the following and show your work:a. Mean:b. Median:c. Mode:d. Range:e. Variance:f. Standard deviation (note: for this and all future standard deviation calculations, please assume that we are working with a population):2. (2 points). Calculate the Z-scores for the following values randomly selected from the population: 0, 4, 5, 83. (3 points). Using the Z-scores you calculated, identify the below percentages for the area under the curve using “Appendix A – Area Under Normal Curve” and the “Calculating Z-Score Probabilities Handout”.a. What percentage of the distribution would we expect to fall between the Z-score for the value of 0 from the original distribution and a Z-score of 0?b. What percentage of the distribution would we expect to fall between the Z-score for the value of 4 from the original distribution and a Z-score of 0?c. What percentage of the distribution would we expect to fall between the Z-score for the value of 5 and the rest of the distribution to the right of that value?d. What percentage of the distribution would we expect to fall between the Z-score for the value of 0 from the original distribution and the Z-score for the value of 8 from the original distribution?

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