Test 11D
AP Statistics
Name:
Directions:
Work on these sheets.
Tables and formulas appear on a separate sheet.
Part 1:
Multiple Choice.
Circle the letter corresponding to the best answer
1.
The average growth of a certain variety of pine tree is 10.1 inches in three years. A biologist claims
that a new variety will have a greater threeyear growth. A random sample of 25 of the new variety
has an average threeyear growth of 10.8 inches and a standard deviation of 2.1 inches.
The
appropriate null and alternative hypotheses to test the biologist's claim are
(a)
H
0
:
µ
= 10.8 against
H
a
:
µ
> 10.8
(b)
H
0
:
µ
= 10.8 against
H
a
:
µ
≠
10.8
(c)
H
0
:
µ
= 10.1 against
H
a
:
µ
> 10.1
(d)
H
0
:
µ
= 10.1 against
H
a
:
µ
< 10.1
(e)
H
0
:
µ
= 10.1 against
H
a
:
µ
≠
10.1
2.
In a test of
H
0
:
µ
= 100 against
H
a
:
µ
> 100, a sample of size 80 produces
z
= 0.8 for the value of
the test statistic. The
P
value of the test is thus equal to
(a) 0.20
(b) 0.40
(c) 0.29
(d) 0.42
(e) 0.21
3.
A certain population follows a Normal distribution with mean
μ
and standard deviation
22.1
σ
=
.
You collect data on four members of the population and test the hypotheses
0
:
100;
:
100
a
H
H
=
.
You obtain a
P
value of 0.052.
Which of the following is true?
(a)
At the 5% significance level, you have proved that
0
H
is true.
(b)
You have failed to obtain any evidence for
a
H
.
(c)
There is some evidence against
0
H
, and a study using a larger sample size may be worthwhile.
(d) This should be viewed as a pilot study, and the data suggest that further investigation of the
hypotheses will not be fruitful at the 5% significance level.
(e) None of the above.
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 Spring '11
 Smith
 Statistics, Normal Distribution, Standard Deviation, Statistical hypothesis testing, researcher

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