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A recent article in a college newspaper stated that college students get an average of 5.5 hrs of sleep each night. A student who was skeptical about this value decided to conduct a survey by randomly sampling 25 students. On average, the sampled students slept 6.25 hours per night. Identify which value represents the sample mean and which value represents the claimed population mean.

For each part, compare distributions (1) and (2) based on their medians and IQRs. You do not need to calculate these statistics; simply state how the medians and IQRs compare. Make sure to explain your reasoning. (a) (1) 3,5,6,7,9 (2) 3,5,6,7,20 (b) (1) 3,5,6,7,9 (2) 3,5,7,8,9 (c) \((1) 1,2,3,4,5\) (2) 6,7,8,9,10 (d) \((1) 0,10,50,60,100\) (2) 0,100,500,600,1000

Distributions and appropriate statistics, Part I. For each of the following, state whether you expect the distribution to be symmetric, right skewed, or left skewed. Also specify whether the mean or median would best represent a typical observation in the data, and whether the variability of observations would be best represented using the standard deviation or IQR. Explain your reasoning. (a) Number of pets per household. (b) Distance to work, i.e. number of miles between work and home. (c) Heights of adult males.

Midrange. The midrange of a distribution is defined as the average of the maximum and the minimum of that distribution. Is this statistic robust to outliers and extreme skew? Explain your reasoning.