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STAT 500 Midterm 1 Answers (Penn State University) Latest Verified Review 2023 Practice Questions and Answers for Exam Preparation, 100% Correct with Explanations, Highly Recommended, Download to Score A+$3.99
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STAT 500 Midterm 1 Answers (Penn State University) Latest Verified Review 2023 Practice Questions and Answers for Exam Preparation, 100% Correct with Explanations, Highly Recommended, Download to Score A+
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Course
STAT 500
Institution
STAT 500
STAT 500 Midterm 1 Answers (Penn State University) Latest Verified Review 2023 Practice Questions and Answers for Exam Preparation, 100% Correct with Explanations, Highly Recommended, Download to Score A+
1. A water-heater manufacturer guarantees the electric heating element for a period of
five ...
STAT 500 Midterm 1 Answers (Penn State University) Latest
Verified Review 2023 Practice Questions and Answers for
Exam Preparation, 100% Correct with Explanations, Highly
Recommended, Download to Score A+
Name:_ SOLUTIONS
Stat 500 Midterm 1 (8 questions) YOU HAVE 3 HOURS TO COMPLETE THIS.
Show all work. Just showing answer without calculations may result in a zero for that
question.
1. A water-heater manufacturer guarantees the electric heating element for a period of
five years. The lifetimes, in months, for a sample of 10 such elements are as follows.
, Maximum value 186.4 would be a potential outlier.
C. (3 points) Based on the five number summary, what shape would you expect the data
to have? Would you expect the mean to be larger or smaller than the median?
With the outlier, we would expect the shape to be skewed to the right and mean to be
larger than median. But without the outlier, since median is closer to Q3 than Q1, the
distribution is skewed to the left and in that case mean is smaller than the median. (Both
answers are acceptable.)
D. (2 points) What would be the population of interest represented by this data?
The population is all the electric heating elements produced by the water-heater
manufacturer.
2. Past studies have shown that 20% of all surgical patients who receive a particular type of
anesthetic experience mild post-operative nausea. Suppose that five patients are scheduled to
receive this type of anesthetic.
A. (10 points) What is the probability that more than one of the five patients will experience
mild post-operative nausea?
N = 5 and p = 0.2.
To find P(X > 1) = 1 – P(X <=1) = 1 – P(X = 0) – P(X = 1)
B. (5 points) Of the 5 patients, what is the expected number and standard deviation of patients
that will experience mild post-operative nausea?
Expected number = (5)(0.2) = 1
Standard Deviation = sqrt{(5)(0.2)(0.8)} = 0.894
3. Suppose the body temperatures of adults has a normal distribution with a mean of 98.6° F
and a standard deviation of 0.60° F. 36 adults are randomly selected from the population.
2
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