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

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