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Question 1. Consider the following population data on weekly earnings after taxes of single- parent households in a small Ontario town. Weekly Index i Earnings 1220 1000 400 1400 i)Find the population average, variance and median weekly earnings. i) Construct a histogram with 3 equal length intervals for the population data ii) If samples of n-2 individuals were drawn without replacement from the population, how many distinct samples would be possible? Generate the possible samples of n-2 individuals drawn without replacement, and for each sample find the sample mean of weekly earnings. iv) v) If simple random sampling was used to generate samples as described in iv), find the probability of the following events, a. The sample mean is at least $700. b. The sample mean is less than $1200.

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