Happy ville Exercise your Job: Estimate the mean number of residents per househo

Question

Happy ville Exercise your Job: Estimate the mean number of residents per household in the town of Hoppyville. There are 100 households, as shown on the Panying illustration (adapted from Aliaga & Gunderson's accom Statistics. Since we don't have the time to go to every one of these households, we will take a small sample of them and use the results to estimate the mean for the entire town. We trying out different methods for obtaining our samples. and comparing the results. Method #1: Eyeball /Judgment method town of Hoppyville. List the house Select 10 households that look to you to be representative of the the mean number of numbers of the 10 you selected, along with the number of residents, Then calculate residents per household for your sample. No. of residents Method Convenience sample subsetof subjects from the often it may be easier to obtain data from a readily accessible population. In this case, one may wish to survey the first 10 households (#1-10), or the first 10 on the West side of town 10.15, 21, 26, 33, 41.51, 59,63). or the last ten households (#91-100) Other convenience samples could be: Eastside, North side of river, and south side of river. Try one of these three samples and figure out the mean. sample mean E Method #3 Systematic Random Samples Pick anmber at rondom from l-10. Then sample every 10" household after that. For example, your sample could be H-holds 23, 33, 43 93. Go ahead and try this. Noof residents sample mean Method #4: Simple Random Samples Select 10 households at random from the 100, The random selection can be occomplished in several ways. You could put the numbers 1-100 in a hat and draw 10 out ot random, you could use a toble of random numbers. or you could let a computer pick the 10 numbers. Following are the household numbers for several random samples obtained using Minitab. Pick the somple number corresponding to the third digit of your UA ID, and find the mean number of residents per H-hold your sample. for

Explanation / Answer

a)

Sample average = 4.1

2)

Sample average = 3.7

3)

2

4)

sample average = 3.8

1 4 2 6 3 10 4 1 5 1 6 6 7 2 8 6 9 1 10 4

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