Make a boxpolot for the following data set. (10%)
24, 15, 34, 92, 68, 34, 78, 45, 53, 67, 83, 46
Find the weighted mean for a particular student’s scores on three exams if the first one
was worth 75 points and the student received a score of 70%, the second was worth 50
points and the student received a score of 80%, and the third was worth 30 points and
the student received a score of 95%? (10%)
On an eight-question true-false quiz, a student guesses each answer. What is the
probability that the student gets at least one of the answers correct? (10%)
Construct the probability distribution for the number of heads obtained when tossing
four coins. Draw a graph of the distribution. (10%)
A research firm reported that 15% of those surveyed described their health as poor, 26%
as good, 40% as very good, and 19% as excellent. A health professional in Chicago
wanted to determine if people in Chicago had similar feelings toward their health. In a
sample of 610 people in Chicago, 70 described their health as poor, 180 as good, 220 as
very good, and 140 as excellent. Compute the test value. (10%)
A researcher has reason to believe that, for an experiment with 50 points, a 95%
prediction interval would be of width 8. If the researcher wishes to run a more precise
experiment that will result in a 95% prediction interval of width 4, then the researcher
will require how many points? (10%)
A sample of 400 racing cars showed that 80 of them cost over $700,000. What is the
99% confidence interval for the true proportion of racing cars that cost over $700,000?
(10%)
A quality control expert wants to estimate the proportion of defective components that
are being manufactured by his company. A sample of 300 components showed that 20
were defective. How large a sample is needed to estimate the true proportion of
defective components to within 2.5 percentage points with 99% confidence? (10%)
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