Question

1. James and George took a math exam. George’s percentile score
on the exam was 45; James’s percentile score was 90 on the same
test. We know that

a) James correctly answered twice as many questions than George. b)
They both scored better than 20 of their classmates. c) James
correctly answered more questions than George. d) George did not
pass the test.

2. Suppose you earned a raw score of 80 on a quiz. For which of the
following conditions would your score indicate the best performance
relative to the rest of the class?

a) sample mean = 81.50 and s = 2.31 b) sample mean = 81.75 and s =
1.65 c) sample mean = 82 and s = 2.35 d) sample mean = 80.5 and s =
1.95

3. In a set of data (10 different data values) if the lowest data
value was replaced by 10 and the highest data value was replaced by
300, which of the following statements is NOT true?

a) The range would change. b) The standard deviation would change.
c) The interquartile range would change. d) The variance would
change.

4. The following statistics was gathered at a local
Starbucks:

Variable N Minimum Q1 Median Q3 Maximum amount of money spent books
300

25.0 118.8 195.0 261.3 400.0

a) What type of data would you be collecting? (qualitative nominal,
qualitative ordinal, quantitative discrete, quantitative
continuous) Please give a reason for your answer in a complete
sentence

b) Approximately how many people spent more than $118.80 on
books?

c) Approximately how many people spent less than $195.00 on
books?

5.If we were to create a histogram for this box plot would the
shape be skewed to the left, skewed to the right, or a normal
distribution? Please give a reason.

6. In a recent year, the mean ACT score was 20.5 and the standard
deviation was 4.34. If a person received a score of 12.14, was
their score significantly low? In a complete sentence please give a
reason for your answer.

7. Blood samples were taken and analyzed. It was determined in this
sample, males had red blood cell counts with a mean of 4.719 and a
standard deviation of 0.490, while females had red cell counts with
a mean of 4.349 and a standard deviation of 0.402. Who has the
higher count relative to the sample from which it came, a male with
a count of 5.58 or a female with a count of 5.23? Please show all
your work and explain your answer in a complete sentence.

Answer #1

**Please don't hesitate to give a "thumbs up" in case
you're satisfied with the answer**

3. In a set of data (10 different data values) if the lowest data value was replaced by 10 and the highest data value was replaced by 300, which of the following statements is NOT true?

a) The range would change - Possibly this will not change. If the lowest is replaced by a number less by 2, and the highest is also replaced by a number smaller by 2, then range remains same.

b) The standard deviation would change - yes, since loading from the center is essentially changing variation would change

c) The interquartile range would change - No , since min and max are being changed, Q3 and Q1 are uneffected and therefore Interquartile, which is just the difference between Q3 and Q1 , will not change

d) The variance would change.- Yes, this would ..same reasoning as change in standard deviation

1. Suppose that a student’s verbal score X from next year’s
Graduate Record Exam can be considered an observation from a normal
population having mean 547 and standard deviation 120. please
explain and show work
(a) What is the probability that a randomly selected student has
verbal score more than 600?
(b) What is the Probability that the student scores below
400?
(c) Find the score corresponding to the 90th percentile (top
10th percentile) of the distribution.

Need some assistance:
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50.00
84.13
93.33
97.73
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8.33%
91.67%
95.25%
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