K310 Elementary Statistics
Spring 2024
th
Due: February 11 at 10 pm
Test #1 Paper and Pencil Portion
Instructions: In order to receive full credit, you must show how you set up your problem.
Round probability to 4 decimal places, 3 significant places, or write as a reduced fraction.
•
The list of data represents the amount of protein in a sample of 29 brands of protein
bars.
1
2
5
6
8
8
9
9
9
10
11
12
12
13
13
14
14
14
15
15
16
16
16
16
16
17
17
17
18
Start with 0, use a class width of 5, and create a Frequency Distribution with 4 classes.
Also state the relative frequency.
(6 pts.)
Class
Frequency
Relative Freq.
2. (a) Given the distribution of the number of miles per gallon for 30 SUVs,
find the class boundaries. (4 pts.)
Miles per gallon Class Boundaries
Frequency
12 – 13
(b)
14 – 15
9
16 – 17
7
18 – 19
4
Identify the class width.
(4 pts.)
(c)
10
Graph a frequency Histogram.
(4 pts.)
3.
Write answers as reduced fractions or rounded to 4 decimal places or 3 significant places.
Electric Tools
Manual Tools
Push Mower
6
25
Hedge Clipper
10
5
Weed Cutter
7
7
(4 pts. each)
At a Home and Garden center, 60 tools listed in the above table were sold.
What is the probability of the following purchases?
(a)
What is the probability that a Manual tool or weed cutter was purchased?
(b)
If 2 of the 60 tool sales are randomly selected, what is the probability both were
manual push mowers. Assume the 2 selections are made with replacement.
(c)
If 2 of the 60 tool sales are randomly selected, what is the probability both were
manual push mowers. Assume the 2 selections are made without replacement.