QNT 351 Week 3 MyStat Lab

QNT
351 Week 3 MyStat Lab
Week
3 Problems
1. An industrial group reports that there
were approximately 122,000 industrial robots operating in a region last year.
The graph shows the percentages of industrial robot units assigned to each of
six task categories.Complete
parts a through e bellow.

a.
What type of graph is used to describe the data?
b.
Identify the variable measured for each of the 122,000 industrial robots
c.
Use the graph to identify the task that uses the lowest percentage of
industrial robots
d.
How many of the 122,000 industrial robots are used for assembly?
e.
What percentage of industrial robots are used for either arc welding or
dispensing/coating?

2. In one university, language professors
incorporated a 10-week extensive readings program to improve students’ Japanese
reading comprehension. The professor collected 262 books originally written for
Japanese children and required their students to read at least 40 of them as
part of the grade in course. The books
were categorized into reading levels (color-coded for easy selection) according
to length and complexity. Complete parts a trough c.

a.
Compute the relative frequencies in each category.
b.
Construct a relative frequency bar graph for the data. Choose the correct graph bellow
c.
Convert the relative frequency bar graph into a Pareto diagram. Interpret the
graph. Choose the correct graph bellow
Use
the diagram to identify the reading level that occurs more often. Choose the
correct answer bellow

3. One organization estimates that there
are 13,140 rhinoceroses living in the wild in a continent. A breakdown of the
number of rhinos of each species is reported in the accompanying table.
Complete parts a trough c.

a.
One of the 13,140 rhinoceroses is selected and the species of the rhinoceros is
determined. What type of data (quantitative or qualitative) is measured?
b.
Construct a frequency bar chart for the data. Choose the correct graph bellow.
c.
Convert the frequency bar chart, part b, into a Pareto diagram. Interpret the
results
The
most populated species of rhinoceros appear to be the ________and the least
most populated species seems to be the _________

4. One organization estimates that there
are 13,090 rhinoceroses living in the wild in a continent. A breakdown of the
number of rhinos of each species is reported in the accompanying table.
Complete parts a through c.
a.
One of the 13,090 rhinoceroses is selected and the species of the rhinoceroses
is determined. What type of data (qualitative or quantitative) is measured?
b.
construct a frequency bar chart for the data. Choose the correct graph bellow.
c.
Convert the frequency bar chart, part b, into a Pareto diagram. Interpret the
results. Choose the correct graph bellow.
Interpret
the results
The
most populated species of rhinoceros appear to be________ and the least most
populated species seems to be the _________

5. A government study found that the
number of non-cash payments in a country reached 92.7 billion transactions
during the year 2007. The pie chart to the right describes the proportions of these
non-cash transactions that were made with credit cards (CC), debit cards (D),
checks (C), electronic benefit transfers (EBT) cards, and automatic clearing
house (ACH) payments. Complete parts a trough d.
a.
Describe the population of interest in the study. Choose the correct answer
bellow.
b.
Estimate the number of non-cash payments in 2007 that were made with credit
cards
c.
What percentage of all non-cash payments in 2007 were made with either credit
or debit cards?
d.
Convert the pie chart into a Pareto diagram and interpret the figure. Choose
the correct graph bellow
Interpret
the figure. Choose the correct answer bellow.

6. A group of marketing professors asked
every fourth adult entrant to a mall to participate in a study. A total of 106
shoppers agreed to answer the question, “Made locally’ means what percentage of
local labor and materials?” The responses of the 106 shoppers are summarized in
the table to the right. Complete parts a trough c bellow.
a.
What type of data-collection method was used?
b.
What type of variable, quantitative or qualitative, is measured?
c.
Present the data in the table in graphical form. Which bar graph bellow
correctly represents the data in the table?

7. Use the relative frequency table shown
to the right to calculate the number of the 400 measurements falling into each
of the measurement classes. Then graph a frequency histogram for these data.
Calculate the number of measurements that fall into each
class
Choose the correct graph bellow
8. Use the relative frequency table shown
to the right to calculate the number of the 400 measurements falling into each
of the measurement classes. Then graph a frequency histogram for these data.
Calculate the number of measurements that fall into each
class
Choose the correct graph bellow

9. Consider the stem-and-leaf display to
the right:
a. How many observations
were in the original data set?
b. In the bottom row of
the stem-and-leaf display, identify the stem, and the numbers in the original
data set represented by this stem and its leaves.
c. Re-create all the
numbers in the data set and construct a dot plot
a.
How many observations were in the original data set?
b. In the bottom row of the stem-and-leaf display, identify
the stem, and the numbers in the original data set represented by this stem and
its leaves.
c. Re-create all the numbers in the data set and construct a
dot plot

10. Certain measurements
are summarized in the histogram to the right. What percentage of the
measurement are greater then 12?
The histogram shows that 35%
of the measurements are greater than 12
11. Calculate the mean
and median of the following grade point averages.
12. Calculate the mean for samples for
which the sample size and ?x are given bellow
a. n=10, ?x=83
b. n=16, ?x=352
c. n=45, ?x=36
d. n=18, ?x=238

13. Five banks
have been ranked by the amount charged to credit and debit cards issued by the
banks. The table to the right gives the total amount charged in 2007 for the
top ranked banks.

a. Find the mean
amount charged for the top five banks and practically interpret this value

b. Find the median
amount charged for the top five banks and practically interpret this value.

a.
The mean amount charged for the top five banks is $359.9 billion

Interpret
this value. Choose the correct answer bellow

b.
The median amount charged for the top five banks is $450.57 billion

Interpret
this value. Choose the correct answer bellow

14. Calculate the
range, variance, and standard deviation for the following sample

5, 2,1,0,1

15. Calculate the
variance and standard deviation for samples with the following statistics
a. n=12, ?x²=83,
?x=24
b. n=37, ?x²=371,
?x=90
c. n=19, ?x²=19,
?x=18