STAT Quiz 2 | Complete Solution

Question 1        5.5 / 11 points
Lane  Page 62  Q 6
Categorize the following variables as being Qualitative or Quantitative and specify the Level of Measurement being used for the variable.
Answer each question by selecting the appropriate letter with your first answer being for Qualitative or Quantitative and your second answer being for Level of Measurement.
a     Qualitative     b     Quantitative     c     Nominal     d     Ordinal     e    Interval     f      Ratio
I     Rating of the quality of a movie on a 7-point scale.
___b___
________
 
2     Age in terms of centuries
___b___
________
 
3     Country you were born in.
___a___
________
 
4      Favorite Color
___a___
________
 
5     Time to respond to a question
___b___
________
Question 2        0 / 11 points
Text: David Lane
Hwk. Page 63   Q 10 
For the numbers 1, 2, 4, 16, compute the following:
ΣX       = 
 
________
 
For the numbers 1, 2, 4, 16, compute the following:
ΣX2     = 
   
________
 
For the numbers 1, 2, 4, 16, compute the following:
 
   (ΣX)2   = 
 
________
 
Calculate S.
 
S2      =  [n ΣX2 - (ΣX)2] / (n(n-1))      
 
Enter S rounded to one decimal place. 
 
________

Question 3        0 / 11 points
Text:  Barbara Illowsky
Hwk  Page 56  Question 80
Fifty part-time students were asked how many courses they were taking this term. The results are shown below:
  
# of Courses    Frequency    Relative Frequency    Cumulative Relative Frequency
Exactly 1    30    .6     
Exactly 2    15          A
Exactly 3               
 Table 1.33 Part-time Student Course Loads
 
Assume all of the students are taking at least 1 course.
Assume none of the students are taking more than 3 courses.
 
How many students are taking exactly 3 courses? 
________
 
What percent of students take exactly two courses?
Enter answer as a percent with 0 decimal places (integer) without the percent sign.
________
 
 
What percent of students take one or two courses?
Enter answer as a percent with 0 decimal places (integer) without the percent sign.
________
 
What  is the numerical value of the letter 'A' in the Table?
Enter answer as a percent with 0 decimal places (integer) without the percent sign.
 
________
Question 4        0 / 11 points
Text: Barbara Illowsky
Hwk.   Page 57   Question 84
 
Forbes magazine published data on the best small firms in 2012.  These were firms which had been publicly traded for at least a year, have a stock price of at least $5 per share, and have reported annual revenue between $5 million and $1billion.
Table 1.37 shows the ages of the chief executive officers for the first 50 ranked firms.
 
Age    Frequency    Relative Frequency    Cumulative Relative Frequency
40-44    3          
45-49    9          
50-54    11          
55-59    14          
60-64    8          
65-69    4          
70-74    1          
Table 1.37
The data in the table has been changed from the textbook to make answers to the questions less difficult to compute.
Complete the Table and then answer the following questions:
 
How many of the CEO are between 55 and 64 years old?
 
________
 
What percentage of CEOs are 65 years or older?
Enter answer as a percent with 0 decimal places without the percent sign.
 
________
 
What percentage of the CEO's are 50 years old or older?
Enter answer as a percent with 0 decimal places without the percent sign.
 
________
 
What percentage of the CEO's are younger than 55 years old?
Enter answer as a percent with 0 decimal places without the percent sign.
 
________
 
Which graph shows relative frequency?
See graphs for this question in our online textbook.
Enter answer as a letter.
A or B
 
________
 
Which graph has the x axis and y axis miss-labeled and the information graphed incorrectly?
See graphs for this question in our online textbook.
Enter answer as an
A or B. 
 
________
 
In class be prepared to explain why the graph is graphed improperly.
Question 5        0 / 11 points
Text: David Lane     Page 118     Problem 7 

For the data from the 1977 Stat. and Biom. 200 class for eye color, construct a frequency table
with the relative frequency of each eye color and answer the following questions:
 
Eye Color    Number of students    Relative Frequency
Brown    11    
Blue    9    
Green    4    
Gray    1    
 
The data in the table has been modified from the data in our textbook to reduce the difficulty of calculating and entering answers to the questions. 
 
1.   What is the relative frequency for the Eye Color Green?
      Enter answer to 2 decimal places.  Include 0 to the left of the decimal point.

      Do not enter answer as a percent.
________
 
2.     If you sum the numbers in the relative frequency column what will the total sum to?
        Enter answer as a decimal with 1 or less decimal places.
 Do not enter answer as a percent. 
________
Question 6        0 / 11 points
Text: Barbara Illowsky     Page 137     Problem 78                 
Twenty-five randomly selected students were asked the number of movies they watched the previous week. The results are as follows:
No. of Movies    Frequency    Relative Frequency    Cumulative Relative Frequency
0    5        
1    9        
2    6        
3    4        
4    1        
 Table 2.67
Complete the columns in the above table and answer the following questions.
Enter each answer with a zero to the left of the decimal point and rounded to 2 decimal places.
(Do not enter answers as a percent.)
 
1.     What is the relative frequency for the students that watched 3 movies in the previous week?
 
________
 
2.     What is the cumulative relative frequency for the students that watched 3 or less movies in the previous week?
 
________
Question 7        0 / 11 points
Illowsky  Page 138  Q 79
Answer the following following questions based upon the information provided in Q 79 in our Illowsky Textbook  page 138.
1.     The percentage of people who own 3 t-shirts costing more than $19 each is approximately:
a     21           b    59          c     41          d     Cannot be determined.
Answer the question by selecting the appropriate letter.
________
2.     The percentage of people who own at most 3 t-shirts costing more than $19 each is approximately:
a     21           b    59          c     41          d     Cannot be determined.
Answer the question by selecting the appropriate letter.
________
3     The Histogram is slightly skewed to the:
a     left          b     right          c symmetrical          d     Insufficient information to answer the question
Answer the above question by selecting the appropriate letter.
________
Question 8        0 / 11 points
Illowsky  Page 123  Q 44 - 45 (Data and question modified)
The miles per gallon rating 30 cars shown below (lowest to highest).
19 19 19 20 21 21 25 25 25 26 26 28 29 31 31
32 32 33 34 35 36 37 37 38 38 38 38 41 43 43
Calculate the the median and determine the mode.
Enter answers in the questions in the order given as an integer or a decimal rounded to 1 decimal place as appropriate for the answer.
________
________
Calculate the first quartile and third quartile for this data set.
Enter answers in the questions in the order given as an integer or a decimal rounded to 1 decimal place as appropriate for the answer.
________
________
Question 9        0 / 12 points
Text: David Lane     Page 161     Problem 8 
You know the minimum, the maximum, and the 25th, 50th, and 75th percentiles of a distribution.
Select from the following list the measures of central tendency or variability that can be determined?
(If there is more than one answer select all answers.)
Question options:
 
Mean 
Median
Mode
Trimean
Range 
Interquartile range 
Variance
Standard Deviation