Statistics 1060: Practice Solutions Week 8

5.5

a) There are 150 independent observations, each with probability of "success" p=0.5.

b) .

c) The mean is (200)(0.4) = 80. We could interpret "between 75 and 85" as (or see line 1 of table). Or we could exclude 75 or 85 and find (or see line 2 of table).

d) (or see line 3 of table).

5.9

a) Find (table, line 1).

b) For (table, line 2).

For (table, line 3). Larger sample sizes are more likely to produce values of close to the true value of p.

5.13

a) n = 4 and .

b) The distribution is below; the histogram is at the right.

c)

5.19

a) and .

b) np = 180 and n(1 - p) = 1320 are both more than 10. Normal approximation values for are in the table.

5.21

a) is in row 1.

b) is in row 2.

c) 400; With

With

d) Yes. Regardless of p, n must be quadrupled to cut the standard deviation in half.

5.29

a)

b) has a distribution, so

(table value: 0.0071)

5.33

is approximately normal with and flaws.

(essentially).

5.35

a) is approximately normal with and g/mi.
b) P(Z > 2.326) = 0.01 if Z is N(0,1), so L = 0.9 + (2.326)(0.01342) = 0.9312 g/mi

5.37

Jonathan Payne
1999-03-12