Statistics help

Hi guys,
I need your help on the below assignment
Thanks,
Savi

Assignment 1 Or Quiz1

1. Indicate which of the following variables are qualitative or
quantitative?

Gender Age Income Race Profession









2. Forbes magazine published data on the best small firms in 1993.
These were firms with annual sales of more than five and less than
$350 million. Firms were ranked by five-year average return on
investment. The data extracted are the age and annual salary of the
chief executive officer for the first 60 ranked firms. In question are
the distribution patterns for the ages and the salaries. Small
companies were defined as those with annual sales greater than five
and less than $350 million. Here are the ages of those 60 CEOs.

32 33 36 37 38 40 41 43 43 44
44 45 45 45 45 46 46 47 47 47
48 48 48 48 49 50 50 50 50 50
50 51 51 52 53 53 53 55 55 55
56 56 56 56 57 57 58 58 59 60
61 61 61 62 62 63 69 69 70 74

(Source: Forbes, November 8, 1993, "America's Best Small
Companies,". )


a) Fill up the following table
Class Frequency Relative Frequency
30x<35
35x<40
40x<45
45x<50
50x<55
55x<60
60x<65
65x<70
70x<75
Sum Sum

b) Which of the following histograms correctly represent the above
data?
If you find a histogram incorrect, state the reason. Please note that
we are looking at the representation of the data not necessarily the
table.

a)
b)

c)


3.The following display shows the number of people officially living
in 215 randomly selected housing units in a densely populated area.



Use the above picture to answer the following questions. You may give
approximate answers.

a) In this sample, what percentage of the houses, have less than 5
people living in it?
b) In this sample, what percentage of the houses, have more than 7
people living in it?








4.Label the following histograms as skewed left, approximately
symmetric, or skewed right.

a) b)

c) d)


5. The following table shows the number of applicants accepted and
refused by different graduate programs of a big university. The table
shows the name of the program, the gender of the applicant, and the
decision on the application.
Men Women
Program # applied # accepted % accepted # applied # accepted %
accepted
A 825 512 108 89
B 560 353 25 17
C 325 120 593 225
D 417 138 375 132
E 191 54 393 95
F 373 22 341 24
Total




a) Fill the blank columns of the above table.




b) If you look at each program, who is being admitted in higher
percentage, men or women?





c) If you look at the acceptance rate overall, who is being admitted
in higher percentage, men or women?





d) State clearly, a reason as to why do we have opposite answers in
the parts b) and c.)



6. The following pie chart shows various expense categories of a large
company.

Find the percentage of the expenses of the company for salaries.



7. The following data shows the time (in minutes) taken by the 9
employees of a company to finish a job satisfaction survey.

17, 38, 46, 49, 51, 53, 58,59, 61

a) Find the mean of this data.


b) Find the median of this data.

c) You discover that the number 17 should have been 71. How does this
change affect
The mean


The median ?









8. The mean of 9 sales was recorded as $47.50. One sales slip is
missing and the remaining 8 were $32.53, $12.78, $43.61, $52.16,
$36.75, $40.56, $41.78, $42.15. Find the value of the missing slip.



9. The following picture shows the boxplots of the purchase amounts of
the customers at a grocery store according to the three modes of
payments (in US Dollars.)



a) For each mode of payment, fill in the following table for
approximate values.
Cash Check/Debit Credit Card
Lowest


Median


Highest
Inter Quartile Range








Do you see any association between the method of purchase and the
amount of purchase (according the above data)?
10. Find the standard deviation (sample) of the following data.

i) 8 40 46 47 49 50

Show the calculations by using the following table
X





















ii) If we discover that the lowest entry should have been 38 instead
of 8 i.e. the data is
38 40 46 47 49 50

then

the new mean will be

lower same higher?


the new sample standard deviation will be


Lower same higher?

.

Relevant Pages

  • Re: How long until IT employment vanishes ?
    ... Then, as Taiwanese increased their standard of living, China became ... big established Indian outsourcing firms are starting to see their costs rise ... new airlines came on the market and found lots of employees willing to work at ...
    (comp.os.vms)
  • Re: Cybersitter - Excellent Example of a Delphi App
    ... > living with myself if I wrote software that firms could use to ... > control their employees. ...
    (borland.public.delphi.non-technical)