Ch. 10 Testing Claims Regarding a Parameter
10.1 The Language of Hypothesis Testing
1 Determine the Null and Alternative Hypothesis from a Claim
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
1) The mean age of bus drivers in Chicago is 54.8 years. Write the existing state and alternative hypotheses.
2) The mean IQ of statistics teachers is greater than 110. Write the existing state and alternative hypotheses.
3) The mean score for all NBA games during a particular season was less than 90 points per game. Write the null
and alternative hypotheses.
4) The dean of a major university claims that the mean time for students to earn a Master
ʹ
s degree is at most 5.5
years. Write the null and alternative hypotheses.
5) A candidate for governor of a particular state claims to be favored by more than half of the voters. Write the
null and alternative hypotheses.
6) The buyer of a local hiking club store recommends against buying the new digital altimeters because they vary
more than the old altimeters, which had a standard deviation of one yard. Write the null and alternative
hypotheses.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
7) A ______________ is a statement or claim regarding a characteristic of one or more populations.
A) Hypothesis
B) Conclusion
C) Conjecture
D) Fact
8) The ______________ hypothesis contains the
ʺ
=
ʺ
sign.
A) Null
B) Alternative
C) Explanatory
D) Conditional
9) A hypothesis test is a
ʺ
two

tailed
ʺ
if the alternative hypothesis contains a _______ sign.
A)
≠
B)
+
C)
<
D)
>
2 Understand Type I and Type II Errors
SHORT ANSWER. Write the word or phrase that best completes each statement or answers the question.
1) The mean age of bus drivers in Chicago is 50.1 years. Identify the type I and type II errors for the hypothesis
test of this claim.
2) The mean IQ of statistics teachers is greater than 120. Identify the type I and type II errors for the hypothesis
test of this claim.
3) The mean score for all NBA games during a particular season was less than 103 points per game. Identify the
type I and type II errors for the hypothesis test of this claim.
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View Full Document4) A candidate for governor of a certain state claims to be favored by more than half of the voters. Identify the
type I and type II errors for the hypothesis test of this claim.
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
5) A local tennis pro

shop strings tennis rackets at the tension (pounds per square inch) requested by the
customer. Recently a customer made a claim that the pro

shop consistently strings rackets at lower tensions, on
average, than requested. To support this claim, the customer asked the pro shop to string 20 new rackets at 59
psi. Upon receiving the rackets, the customer measured the tension of each and calculated the following
summary statistics: x
=
58 psi, s
=
3.7 psi. In order to conduct the test, the customer selected a significance level
of
α
=
.01. Interpret this value.
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 Spring '10
 all
 sufficient evidence

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