AP Statistics
One Sample Significance
Take Home TEST
Name:_________________________
Date:__________Period:_________
Test of Significance TEST
Part 1: Multiple Choice.
Hand write the letter corresponding to the best answer in space provided on page 7.
(2 points each)
_____1.
An automobile manufacturer claims that the average gas mileage of a new model is 35 miles
per gallon (mpg).
A consumer group is skeptical of this claim and thinks the manufacturer may be
overstating the average gas mileage.
If
μ
represents the true average gas mileage for this new model,
which of the following gives the null and alternative hypotheses that the consumer group should test?
a)
H
o
:
μ
< 35 mpg
H
a
:
≥
μ
35 mpg
b)
H
o
:
≤
μ
35 mpg
H
a
:
μ
> 35 mpg
c)
H
o
:
μ
= 35 mpg
H
a
:
μ
> 35 mpg
d)
H
o
:
μ
= 35 mpg
H
a
:
μ
< 35 mpg
e)
H
o
:
μ
= 35 mpg
H
a
:
≠
μ
35 mpg
_____2.
In a test of the null hypothesis H
o
:
μ
= 10 against the alternative hypothesis H
a
:
μ
> 10, a
sample from a normal population produces a mean of 13.4.
The zscore for the sample is 2.12 and the p
value is 0.017.
Based on these statistics, which of the following conclusions could be drawn?
a)
There is reason to conclude that
μ
> 10
b)
Due to random fluctuation, 48.3 percent of the time a sample produces a mean larger than 10.
c)
1.7 percent of the time, rejecting the alternative hypothesis is in error.
d)
1.7 percent of the time, the mean is above 10.
e)
98.3 percent of the time, the mean is below 10.
_____3. The process of producing painreliever tablets yields tablets with varying amounts of the active
ingredient.
It is claimed that the average amount of active ingredient per tablet is at least 200
milligrams.
The Consumer Watchdog Bureau tests a random sample of 70 tablets.
The mean content of
the active ingredient for the sample is 194.3 milligrams, while the standard deviation is 21 milligrams.
What is the approximate pvalue for the appropriate test?
a)
0.012
b)
0.024
c)
0.050
d)
0.100
e)
0.488
Mrs. Poyner
Chapter 10  12
page 1
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AP Statistics
One Sample Significance
Take Home TEST
_____4.
Which of the following is a criterion for choosing a ttest rather than a ztest when making an
inference about the mean of a population?
a)
The standard deviation of the population is unknown.
b)
The mean of the population is unknown.
c)
The sample may not have been a simple random sample.
d)
The population is not normally distributed.
e)
The sample size is less than 100.
_____5.
On their birthdays, employees at a large company are permitted to take a 60minute lunch
break instead of the usual 30 minutes.
Data were obtained from 10 randomly selected company
employees on the amount of time that each actually took for lunch on his or her birthday.
The company
whishes to investigate whether these data provide convincing evidence that the mean time is greater than
60 minutes.
Of the following, which information would NOT be expected to be a part of the process of
correctly conducting a hypothesis test to investigate the question, at 0.05 level of significance?
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 Spring '10
 Ladwig
 Statistics, Statistical hypothesis testing, Mrs. Poyner, Sample Significance

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