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STAT 230 8 Week QUIZ 1

STAT 230 8 Week QUIZ 1

Question Quiz 1_Stat230:
You must use the TFE Editor to present your answers. Download the Quiz and post your
answers via the Assignment Folder.
For question #1, a typical row for the Stem & Leaf plot might look like 30269. Where, the
vertical line is obtained by using Shift & |/ key. The line is inserted at the location of the
cursor.
Submit quiz via the Assignment Folder
(15%) 1. A survey of the number of calls received by a sample of Southern Phone Company
subscribers last week revealed the following information.
52 43 30 38 30 42 12 46 39 37 34 46 32 18 41 5
a) Develop a stem-and-leaf chart. Above for tips on presenting Stem-Leaf plot.
b) What basic conclusions can be drawn from this chart?
c) Compute the 5 number System for this data set and list Xmin,Q1,Q2,Q3 & Xmax. See
Videos and show how the pointer was computed for each quartile.
(15%)
2. For the following table, what is the value of :
a) P(A1)
b) P(B1A2)
c) P(B2 and A3). Compute this as P(B2)*P(A3 B2) . Rows are B1 & B2: columns are A1, A2
& A3.
What are the values of P(B2) , P(A3|B2) and P(B2&A3)?
In what row and column will you find this answer?

Second Event

A1

B1
B2
Total

2
1
3

First Event
A2
1
2
3

A3

Total

3
1
4

6
4
10

(15 pnts.)
3. The chart below gives the percentage of counties in the US that use various methods for
recording votes in 1980 & 2002. Set up side-by-side bar charts by year using the instruction for
Side-By-Side Charts in the Class Notes Conference. Copy/Paste your Chart into the TFE
Editor from EXCEL.
METHOD
Punch cards
Lever machines
Paper ballots
Optical scan
Electronic
Mixed

1980
18.5
36.7
40.7
0.8
0.2
3.1

2002
15.5
10.6
10.5
43.0
16.3
4.1

(15 pnts.)
4. The following are a sample of the weights of nine jars of peanut butter.
7.69 7.72 7.80 7.86 7.90 7.94 7.97 8.06 8.09
a) Compute the median weight.
b) Compute the standard deviation of the sample using the shortcut formula. Show the formula
and values for each term and compute the answer. Use the TFE Equation Editor.
c) Compute the 5 Number System for this data. Just list the values as Xmin=xxx,
Q1=xxx,Q2=xxxx,Q3=xxxxx, Xmax = xxxx.
d) Are there outliers? An outlier value is defined as unusually large or small according to the
expressions: Answer yes or no.
Outlier > Q3 + 1.5(Q3-Q1) or,
Outlier < Q1-1.5(Q3-Q1)

(15 pnts.)
5. Answer questions a. through f. of 3.23 below.

Show work for part f. only.

(15 pnts.)
6. Compute the mean and standard deviation for the data in the table below. State your
assumptions and show all calculations. See Video- Mean & Variance for Grouped Data in
Videos Topics In Stat 230(1) conference.

Distance

Frequency

0 to 5
5 to 10
10 to 15
15 to 20
20 to 25

4
15
27
18
6

(10%)
7. A box contains 3 red balls and 4 green balls. If two balls are randomly selected in sequence,
what is the possibility that a red ball and a green ball are picked out of the box. State the rule
for P(A&B) and then substitute the values and compute the answer.
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