# Group Exercise: Another Z-test

Let's say that we're studying household size in Kings County. The mean HH size is 4.2 persons, with a standard deviation of 1.8 persons.

You can compute the area under the normal curve here: http://www.stat.berkeley.edu/~stark/SticiGui/Text/clt.htm#normal_curve

What is the probability of:

(a) drawing a sample of 1,000 HHs with a mean size of 4.4 persons or more?

(b) drawing a sample of 900 HHs with a mean size between 4.5 and 5?

(c) drawing a sample of 1,500 HH with a mean size of 3.8 or less?

(d) drawing a sample of 600 HHs with a mean size of 4.1 or more?

(e) drawing a sample of 800 HHs with a mean size of 4.3 or less?

(f) drawing a sample of 1,200 HHs with a mean size between 4.4 and 4.6?

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