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Question 1

  1. Compute
    the mean and the weighted mean for the following data. Show
    your work.

Weight

Grade
Earned

Midterm

10%

63

Discussion

30%

100

Assignment

20%

75

Project

20%

80

Quizzes

20%

90

If
the professor asked you if you would like the mean grade or the
weighted mean grade, which would you choose? Why? What weighted
category made the greatest impact?

Question 2

  1. If
    P(A) = 0.45, P(B) = 0.49, and P(A ∪ B) = 0.85, then P(B | A) =


Question
3 – You must show the fractions you multiplied to earn credit.
You may also include other math if you choose a different method.

Seven
vitamin and five sugar tablets identical in appearance are in a box.
One tablet is taken at random and given to Person A. A tablet is then
selected and given to Person B. What is the probability that

  1. Person
    A was given a vitamin tablet?
  2. Person
    B was given a sugar tablet given that Person A was given a vitamin
    tablet?
  3. neither
    was given vitamin tablets?
  4. both
    were given vitamin tablets?
  5. Person
    A was given a sugar tablet and Person B was given a vitamin tablet?
  6. Person
    A was given a vitamin tablet and Person B was given a sugar tablet?
  7. exactly
    one person was given a vitamin tablet?

Question 4

The
following information regarding the ten richest Americans was
reported in a recent issue of Forbes.

wk 1 assignment image 1

  1. How does the
    textbook define “element?” Name the elements in the
    above data set.
  2. How does the
    textbook define “variable?” Name the variables in this
    data set.
  3. How does the
    textbook define “observation?” Name TWO observations
    in this data set.
  4. Explain why
    rank, even though it is a number, is NOT a quantitative
    variable.
  5. Which
    variables are quantitative?

Question 5

A
sample of the ages of 10 employees of a company is shown
below.


20 30 30 30 50
30 30 30 20 40

1.
What is a dot plot?

2.
If this set of data were going to be used to make a dot plot, what
variable would be on the x axis? Why? What variable would
be on the y axis? Why?

3.
If you were going to make a dot plot, what would the title be?
Remember that titles show relationships between both variables.

4.
Using a method of your choosing, construct a dot plot for the above
data which includes a proper title and axis labels.


Question 6

The
following data shows the price of PAO, Inc. stock over the
last eight months.

Month

Price
($)

1

1.82

2

1.85

3

1.86

4

1.91

5

1.97

6

2.00

7

2.01

8

2.08

  1. Develop a
    scatter diagram and draw a trend line through the points.
    Remember everything that was said about titles, axes labels etc. in
    the previous question.
  2. What kind
    of relationship exists between stock price and
    time (negative, positive, or no relation)? How
    do you know?

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