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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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Soluion: we have popalalitnp C32n, 100e, 400,,14) popeulation medion o o population vonant272o frequen Histojram 400 73S 735 070 1070 1465 2 2 400 735 o7 iii) a!! possible Sample of size 2 ะ 16 5 S I )Aossible sample oi respecHve mean me an 3 : 600 - 360 means .700 Xs= C1200 , o mcang- go6 X4C120oj00meant mean lo- 700 bo, 400) % (ที่) (Sample mean alleast$706 is , at am ple meao is len than/200 V) a) probability that 5

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