SOPHIA INTRODUCTION TO STATISTICS
EXAMINATION TEST 2026 QUESTIONS WITH
ANSWERS GRADED A+
◉ statistics. Answer: the science of planning studies and experiments,
obtaining data, and then organizing, summarizing, presenting, analyzing,
interpreting, and drawing conclusions based on the data
◉ population. Answer: the complete collection of all measurements or
data that are being considered
◉ census. Answer: the collection of data from every member of the
population
◉ sample. Answer: sub-collection of members selected from a
population
◉ random selection. Answer: selection of sample elements in such a
way that all elements available for selection have the same chance of
being selected
,◉ a school newspaper decides to survey all the students enrolled in a
gym class to determine the percentage of these students who are also on
the football team. what is the population of this study? Answer: students
who take gym class
◉ a utility company currently offers electricity to its customers from a
windmill farm. it is considering offering electricity from a coal powered
plant at a lower price. the company received a study from a coal
producing company showing that customers would buy the cheaper
electricity. is there any incentive for the survey to be biased? Answer:
yes, because the coal company may benefit from the results of the
survey
◉ a lawn service provider in your area would like to introduce a new
service to its customers. the company put flyers on each of their
customers' doors asking them to call in and say whether or not they
would use this new service. the service received 73 phone calls, 65 of
which would use the service. which sampling method was used?
Answer: voluntary response
◉ a magician flips a coin 8 times producing heads each time. is there
statistical significance to say the coin is somehow rigged? Answer: yes,
because the results are unlikely to happen by chance
◉ a study was made to find if the distance people lived from where they
worked was affected by whether or not they had college degrees. it was
found without a college degree, a person traveled an average distance
, 12. 3 mi to work. with a college degree, a person traveled 24.2 mi to
work. are the results practically significant? Answer: yes, because the
distance for those with a degree is almost twice that of those who do not
◉ in a study of fast food restaurants, 120 restaurants started with an
average price of $2.32 per item. during a six month period the average
price increased by $0.30. does this study have practial significance?
Answer: yes, because the increase has an impact on the customer
◉ you flip a coin and get tails. Answer: possible and likely
◉ lightening strikes the same spot twice. Answer: possible but very
unlikely
◉ in a study, subjects were found using the method as follows: "we
recruited study candidates from the greater boston area using newspaper
ads and tv publicity." which sampling method was used? Answer:
voluntary response
◉ a recent poll contacted 230 people who own a car and live in
california and asked whether or not they were a homeowner. identify the
population of this poll. Answer: all people who live in california and
own a car
EXAMINATION TEST 2026 QUESTIONS WITH
ANSWERS GRADED A+
◉ statistics. Answer: the science of planning studies and experiments,
obtaining data, and then organizing, summarizing, presenting, analyzing,
interpreting, and drawing conclusions based on the data
◉ population. Answer: the complete collection of all measurements or
data that are being considered
◉ census. Answer: the collection of data from every member of the
population
◉ sample. Answer: sub-collection of members selected from a
population
◉ random selection. Answer: selection of sample elements in such a
way that all elements available for selection have the same chance of
being selected
,◉ a school newspaper decides to survey all the students enrolled in a
gym class to determine the percentage of these students who are also on
the football team. what is the population of this study? Answer: students
who take gym class
◉ a utility company currently offers electricity to its customers from a
windmill farm. it is considering offering electricity from a coal powered
plant at a lower price. the company received a study from a coal
producing company showing that customers would buy the cheaper
electricity. is there any incentive for the survey to be biased? Answer:
yes, because the coal company may benefit from the results of the
survey
◉ a lawn service provider in your area would like to introduce a new
service to its customers. the company put flyers on each of their
customers' doors asking them to call in and say whether or not they
would use this new service. the service received 73 phone calls, 65 of
which would use the service. which sampling method was used?
Answer: voluntary response
◉ a magician flips a coin 8 times producing heads each time. is there
statistical significance to say the coin is somehow rigged? Answer: yes,
because the results are unlikely to happen by chance
◉ a study was made to find if the distance people lived from where they
worked was affected by whether or not they had college degrees. it was
found without a college degree, a person traveled an average distance
, 12. 3 mi to work. with a college degree, a person traveled 24.2 mi to
work. are the results practically significant? Answer: yes, because the
distance for those with a degree is almost twice that of those who do not
◉ in a study of fast food restaurants, 120 restaurants started with an
average price of $2.32 per item. during a six month period the average
price increased by $0.30. does this study have practial significance?
Answer: yes, because the increase has an impact on the customer
◉ you flip a coin and get tails. Answer: possible and likely
◉ lightening strikes the same spot twice. Answer: possible but very
unlikely
◉ in a study, subjects were found using the method as follows: "we
recruited study candidates from the greater boston area using newspaper
ads and tv publicity." which sampling method was used? Answer:
voluntary response
◉ a recent poll contacted 230 people who own a car and live in
california and asked whether or not they were a homeowner. identify the
population of this poll. Answer: all people who live in california and
own a car
