Quantitative Reasoning Final Exam questions
and answers 2026\2027 A+ Grade
Graphs of normal distributions
- correct answer always have the same characteristic bell shape
In a normal distribution, the mean
- correct answer is equal to the median
In a normal distribution, data values farther from the mean are
- correct answer less common than data values close to the mean
Consider wages at a fast food restaurant where most of the workers earn the minimum wage. Would
you expect the wages of all workers at this restaurant to have a normal distribution?
- correct answer no, because a normal distribution is symmetric, but no one earns less than the
minimum wage
In a normal distribution, about two-thirds of the data values fall within
- correct answer 1 standard deviation of the mean
Suppose a car driven under different conditions gets a mean gas mileage of 40 miles per gallon with a
standard deviation of 3 miles per gallon. If you drive this car many times, the gas mileage on 95% of the
trips will be between
- correct answer 34 and 46 miles per gallon
Consider again the car described in question 6. On about what percentage of the trips will the gas
mileage be less than 37 miles per gallon?
- correct answer 16%
, Consider an exam with a normal distribution of scores with a mean of 75 and a standard deviation of 6.
If you get a 66 on the exam, your standard score (z-score) is
- correct answer -1.5
A friend tells you that his IQ is in the 102nd percentile. You can conclude that
- correct answer he doesn't understand percentiles
Researchers are testing a new cancer treatment. To determine whether the treatment offers a
statistically significant improvement in survival rates, the researchers must
- correct answer compare the survival rate with the new treatment to that with other treatments or no
treatment
Working with equal sample sizes, researchers compared three new cold remedies to a placebo. Which
remedy is most likely to be most effective?
- correct answer the one that gave results statistically significant at the 0.01 level
Researchers conduct 20 different experiments to test the effectiveness of a new weight loss pill
compared to the effectiveness of a placebo. For 19 of the 20 experiments, the results are not statistically
significant. However, one of the experiments shows that the pill works better than the placebo with
statistical significance at the 0.05 level. A fair report of the combined results from all 20 experiments
would say that
- correct answer there is no evidence that the treatment works
A poll finds that 35% of the people surveyed approve of the President's handling of the economy, with a
margin of error (for 95% confidence) of 3%. The 95% confidence interval for this poll is
- correct answer 32% to 38%
Suppose the poll described in question 5 were repeated one month later (with a new sample) and 33%
of the people surveyed approve of the President's handling of the economy. Which is the correct
conclusion about the percentage of the population that approves of the President's handling of the
economy?
- correct answer the two polls results do not differ enough to allow us to draw a conclusion about any
change
Consider a survey with a margin of error of 4%. If you want to reduce the margin of error to 2%, you
should repeat the survey with
- correct answer four times as many people
and answers 2026\2027 A+ Grade
Graphs of normal distributions
- correct answer always have the same characteristic bell shape
In a normal distribution, the mean
- correct answer is equal to the median
In a normal distribution, data values farther from the mean are
- correct answer less common than data values close to the mean
Consider wages at a fast food restaurant where most of the workers earn the minimum wage. Would
you expect the wages of all workers at this restaurant to have a normal distribution?
- correct answer no, because a normal distribution is symmetric, but no one earns less than the
minimum wage
In a normal distribution, about two-thirds of the data values fall within
- correct answer 1 standard deviation of the mean
Suppose a car driven under different conditions gets a mean gas mileage of 40 miles per gallon with a
standard deviation of 3 miles per gallon. If you drive this car many times, the gas mileage on 95% of the
trips will be between
- correct answer 34 and 46 miles per gallon
Consider again the car described in question 6. On about what percentage of the trips will the gas
mileage be less than 37 miles per gallon?
- correct answer 16%
, Consider an exam with a normal distribution of scores with a mean of 75 and a standard deviation of 6.
If you get a 66 on the exam, your standard score (z-score) is
- correct answer -1.5
A friend tells you that his IQ is in the 102nd percentile. You can conclude that
- correct answer he doesn't understand percentiles
Researchers are testing a new cancer treatment. To determine whether the treatment offers a
statistically significant improvement in survival rates, the researchers must
- correct answer compare the survival rate with the new treatment to that with other treatments or no
treatment
Working with equal sample sizes, researchers compared three new cold remedies to a placebo. Which
remedy is most likely to be most effective?
- correct answer the one that gave results statistically significant at the 0.01 level
Researchers conduct 20 different experiments to test the effectiveness of a new weight loss pill
compared to the effectiveness of a placebo. For 19 of the 20 experiments, the results are not statistically
significant. However, one of the experiments shows that the pill works better than the placebo with
statistical significance at the 0.05 level. A fair report of the combined results from all 20 experiments
would say that
- correct answer there is no evidence that the treatment works
A poll finds that 35% of the people surveyed approve of the President's handling of the economy, with a
margin of error (for 95% confidence) of 3%. The 95% confidence interval for this poll is
- correct answer 32% to 38%
Suppose the poll described in question 5 were repeated one month later (with a new sample) and 33%
of the people surveyed approve of the President's handling of the economy. Which is the correct
conclusion about the percentage of the population that approves of the President's handling of the
economy?
- correct answer the two polls results do not differ enough to allow us to draw a conclusion about any
change
Consider a survey with a margin of error of 4%. If you want to reduce the margin of error to 2%, you
should repeat the survey with
- correct answer four times as many people
