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STATISTICS
CHAPTER 8 TEST
Show all of your work! Indicate the correct units! Draw a box around each final answer!
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1. Find the critical z value(s) or t value(s) for each hypothesis test. Draw the standard
normal distribution or t distribution for each test. Be sure to indicate the area for each
critical region and non-critical region. Shade the critical region.
(a) Left-tailed z test with
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α = 0.006 and n = 208.
(b) Right-tailed t test with
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α = 0.005 and n = 33.
(c) Two-tailed z test with
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α = 0.006 and n = 190.
(d) Left-tailed t test with
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α = 0.05 and n = 40.
(e) Right-tailed z test with
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α = 0.015 and n = 240.
(f) Two-tailed t test with
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α = 0.01 and n = 81.
Name: ________________________________________ Date: ____________________
2. Each of the following statements represents a claim. Determine the null hypothesis and
the alternative hypothesis. Then identify which hypothesis is the claim.
(a) The average salary of an adjunct professor is now more than $3,300 per course.
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H0 :
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H1:
(b) Since joining the Boston Celtics, Isiah Thomas is an 87.6% free-throw shooter.
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H0 :
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H1 :
(c) The average score on the math portion of the SAT is now less than 540.
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H0 :
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H1 :
(d) The principal of North Quincy High School believes that the dropout rate for his
school differs from the national rate of 14%.
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H0 :
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H1:
(e) The average lifespan of a Cocker Spaniel now exceeds 13.5 years.
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H0 :
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H1 :
(f) Because of new medical guidelines, the proportion of pregnancies that end with a
Cesarean section is now lower than the year 2000 value of 32%.
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H0 :
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H1 :
Name: ________________________________________ Date: ____________________
3. Answer the following questions regarding hypothesis testing.
(a) What is a type I error?
(b) What is a type II error?
(c) Given that P(type I error) =
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α and P(type II error) =
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β , how are
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α and
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β related to
each other?
(d) Is it possible to calculate the exact value of
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α? Explain.
(e) Is it possible to calculate the exact value of
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β ? Explain.
(f) When performing a z test for a proportion, what are the minimum requirements?
(g) When performing a t test for a mean, what are the minimum requirements?
Name: ________________________________________ Date: ____________________
4. The mean income of a pharmaceutical sales representative is $92,100. However, the
president of Eli Lilly claims that the mean income of his sales representatives is more
than the national average. He randomly selects 100 sales representatives and finds that
the mean income is $96,325 with a standard deviation of $9,550. Using
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α = 0.005,
determine whether there is enough evidence to support the president’s claim.

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5. The Audubon Society claims that 54% of raccoons have rabies. A researcher draws
blood from 60 randomly selected raccoons and finds that 27 raccoons test positive for
rabies. Using
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α = 0.05, is there enough evidence to support the Audubon Society’s
claim?
Name: ________________________________________ Date: ____________________
6. A survey of Boston commuters indicates that the average commute time is 25.4
minutes. A real estate agent in Wellesley, MA claims that the commute time from her
town to Boston is less than the average and wants to publicize this. She randomly selects
30 commuters and finds the average is 22.1 minutes with a standard deviation of 5.3
minutes. At
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α = 0.01, does the evidence support her claim?
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7. It has been reported that, among the general population, 27% smoke cigarettes.
However, the American Medical Association claims that the rate is much less than this
for college graduates. The AMA randomly selects 200 college graduates and shows that
39 smoke. With
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α = 0.01, is there enough evidence to support the AMA claim?
Name: ________________________________________ Date: ____________________
8. The Screen Actors Guild (SAG) claims that the mean age of actresses when they win
Oscars is 33 years. A random sample of 81 Oscar-winning actresses is selected. The
sample has a mean of 35.9 years with a standard deviation of 11.1 years. With
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α = 0.01,
is there enough evidence to support SAG’s claim?
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9. It has been reported that 18% of all high school seniors in the United States have
smoked marijuana at least one time in the last month. However, the headmaster of a
private boarding school claims that the rate is much lower for his school. He randomly
selects 400 students for testing and finds that 62 test positive for marijuana. With
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α =
0.05, is there enough evidence to support the headmaster’s claim?

 

 

 

 

 

 

 

Sample Solution

s regarding environmental issues as a threat but this do by a referent object in a specific social, political, linguistic structure. (Stritzel, 2007) The vague conceptualisation of the specific referent object as mentioned by the Copenhagen School – need the post-structural position created by the second generation of securitisation scholars where they stress the importance of the role the audience play along with setting the socio-political environment. (Salter, 2008) The purpose of this essay was to assess critically the strengths and weaknesses of the securitisation theory. After discussing the concept of the securitisation theory as conceptualised by the Copenhagen School, the essay went on to discuss how the theory was developed by second generation of securitization scholars by focusing on “what conditions the social content and meaning of security produced threats.” (Balzacq, 2010) The essay then went on to discuss the stance the Aberystwyth School had on the voice of the audience and finally, the idea of environmental securitisation was discussed. It can be argued that security may not be a negative practice, which as discussed above involves the use of hard power but instead the emancipation from the “relative objectivism” affecting both traditional stance on security and the Copenhagen School work. Therefore, it can be said that the concept of security can be revised to provide a unified position on security. In regard to the securitisation of environmental degradation, environmental issues can be tackled rather than those issues being exploited politically. This essay has provided a range of strength and weaknesses to the Securitisation theory.

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