Statistics Final Exam/ 135 Qs with Definitive
Solutions.
A large state university conducted a survey among their students and received 400 responses.
The survey asked the students to provide the following information:
*Age
*Year in School (Freshman, Sophomore, Junior, Senior)
*Major
What type of graph would you use to describe the variable Major? - Answer: A bar chart
because Major is a categorical variable.
Obtain the five-number summary for the given data.1, 3, 6, 7, 9, 11, 14 - Answer: 1, 3, 7, 11, 14
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,Two Physics classes at Jefferson High School took the same quiz. Mr. Spears had 20 students in
his class with a mean score of 80. Mrs. Guyton's class of 30 students had a mean score of 90.
Overall, what was the mean score for all students on the quiz? - Answer: 86
Use the following information to answer the question. The distribution of the number of hours
of sleep people get per night is unimodal and symmetric with a mean of 6 hours and a standard
deviation of 1.5 hours.
Approximately what percent of people sleep between 6 and 7.5 hours per night? - Answer: 34%
Use the following information to answer the question. The mean age of lead actors from the top
ten grossing movies of 2007 was 36.4 years with a standard deviation of 9.87 years. Assume the
distribution of the actors ages is approximately unimodal and symmetric.
In 2007, popular actor and singer Justin Timberlake was 26-years-old. What is Justin
Timberlake's age in 2007 if it is standardized? Would it be unusual for a 26-year-old actor to be
in a top-grossing film of 2007? Assume the Empirical Rule applies and round to the nearest
hundredth. - Answer: z = -1.05; It would not be unusual.
Which of the following measurements is likely to have the most variation? - Answer: The
individual weights in ounces of potatoes in a randomly selected crate of potatoes.
Use the following information to answer the question. The economic impact of an industry, such
as sport fishing, can be measured by the retail sales it generates. In 2006, the economic impact
of great lakes fishing in states bordering the great lakes had a mean of $318 and a standard
deviation of $83.5. Note that all dollar amounts are in millions of dollars. Assume the
distribution of retail sales is unimodal and symmetric. (Source: National Oceanic and
Atmospheric Administration).
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, The economic impact of fishing for nearly all great lakes states should fall within what range (in
millions of dollars)? - Answer: $67.5 to $568.5
The numbers listed below represent the amount of precipitation (in inches) last year in six
different U.S. cities.
23.3 12.3 41.7 29.0 23.4 12.1 - Answer: 11.11 in.
The distribution of the number of "friends" all users of a popular social media site have is
strongly skewed to the right. Which of the following is true? - Answer: The median number of
friends is smaller than the mean.
Use the following information to answer the question. The mean age of lead actors from the top
ten grossing movies of 2007 was 36.4 years with a standard deviation of 9.87 years. Assume the
distribution of the actors ages is approximately unimodal and symmetric.
In 2002, actor Adrian Brody won an academy award in for the movie "The Pianist." He was 29-
years-old. Finish the statement: "According to the Empirical Rule, the ages of nearly all lead
actors will be between and years. Adrien Brody was this range when she won the academy
award." - Answer: 6.8; 66.0; within
The grocery expenses for six families were $43.80, $66.14, $57.93, $81.44, $70.44, and $45.86 .
Compute the mean grocery bill. Round your answer to the nearest cent. - Answer: $60.94
A city planner says, "The typical commute to work for someone living in the city limits is less
than the commute to work for someone living in the suburbs." What does this statement mean?
- Answer: The center of the distribution of commute times for a city-dweller is less than the
center of the distribution for those living in the suburbs.
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Solutions.
A large state university conducted a survey among their students and received 400 responses.
The survey asked the students to provide the following information:
*Age
*Year in School (Freshman, Sophomore, Junior, Senior)
*Major
What type of graph would you use to describe the variable Major? - Answer: A bar chart
because Major is a categorical variable.
Obtain the five-number summary for the given data.1, 3, 6, 7, 9, 11, 14 - Answer: 1, 3, 7, 11, 14
Page 1 of 26
,Two Physics classes at Jefferson High School took the same quiz. Mr. Spears had 20 students in
his class with a mean score of 80. Mrs. Guyton's class of 30 students had a mean score of 90.
Overall, what was the mean score for all students on the quiz? - Answer: 86
Use the following information to answer the question. The distribution of the number of hours
of sleep people get per night is unimodal and symmetric with a mean of 6 hours and a standard
deviation of 1.5 hours.
Approximately what percent of people sleep between 6 and 7.5 hours per night? - Answer: 34%
Use the following information to answer the question. The mean age of lead actors from the top
ten grossing movies of 2007 was 36.4 years with a standard deviation of 9.87 years. Assume the
distribution of the actors ages is approximately unimodal and symmetric.
In 2007, popular actor and singer Justin Timberlake was 26-years-old. What is Justin
Timberlake's age in 2007 if it is standardized? Would it be unusual for a 26-year-old actor to be
in a top-grossing film of 2007? Assume the Empirical Rule applies and round to the nearest
hundredth. - Answer: z = -1.05; It would not be unusual.
Which of the following measurements is likely to have the most variation? - Answer: The
individual weights in ounces of potatoes in a randomly selected crate of potatoes.
Use the following information to answer the question. The economic impact of an industry, such
as sport fishing, can be measured by the retail sales it generates. In 2006, the economic impact
of great lakes fishing in states bordering the great lakes had a mean of $318 and a standard
deviation of $83.5. Note that all dollar amounts are in millions of dollars. Assume the
distribution of retail sales is unimodal and symmetric. (Source: National Oceanic and
Atmospheric Administration).
Page 2 of 26
, The economic impact of fishing for nearly all great lakes states should fall within what range (in
millions of dollars)? - Answer: $67.5 to $568.5
The numbers listed below represent the amount of precipitation (in inches) last year in six
different U.S. cities.
23.3 12.3 41.7 29.0 23.4 12.1 - Answer: 11.11 in.
The distribution of the number of "friends" all users of a popular social media site have is
strongly skewed to the right. Which of the following is true? - Answer: The median number of
friends is smaller than the mean.
Use the following information to answer the question. The mean age of lead actors from the top
ten grossing movies of 2007 was 36.4 years with a standard deviation of 9.87 years. Assume the
distribution of the actors ages is approximately unimodal and symmetric.
In 2002, actor Adrian Brody won an academy award in for the movie "The Pianist." He was 29-
years-old. Finish the statement: "According to the Empirical Rule, the ages of nearly all lead
actors will be between and years. Adrien Brody was this range when she won the academy
award." - Answer: 6.8; 66.0; within
The grocery expenses for six families were $43.80, $66.14, $57.93, $81.44, $70.44, and $45.86 .
Compute the mean grocery bill. Round your answer to the nearest cent. - Answer: $60.94
A city planner says, "The typical commute to work for someone living in the city limits is less
than the commute to work for someone living in the suburbs." What does this statement mean?
- Answer: The center of the distribution of commute times for a city-dweller is less than the
center of the distribution for those living in the suburbs.
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