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-Excel must be used where asked.

-Show details of your work. The solutions must be your own work no collaboration.

Tags:
business and finance
math
Financial Management
Economy
descriptive statistics
University of Winnipeg
STAT1401

Question # 1 data
100
105
105
110
115
115
120
120
120
130
140
150
155
160
180
195
230
235
255
360
Question # 6 data
Franchise
Hardee’s
Arby’s
Papa John’s
Taco Bell
Quiznos
Dairy Queen
Baskin-Robbins
Domino’s
Dunkin Donuts
Pizza Hut
KFC Corp
McDonald’s
Subway
Locations
1397
2558
2615
4516
5110
5619
5889
8053
8082
10238
11553
24799
29612
Assignment 2
STAT-1401
Instructions
• Be sure to include assignment cover sheet posted on Nexus as first page of your
assignment.
• Staple your assignment at the top left-hand corner.
• Excel must be used where asked.
• Show details of your work. The solutions must be your own work no collaborations.
• No extensions in submission date and time will be granted.
• No assignments via email will e accepted.
• Due date is October 22 at 2:30pm (in class).
1) The cost of consumer purchases such as single-family housing, gasoline, Internet
services, tax preparation, and hospitalization was provided in the Wall-Street Journal.
Data posted on NEXUS are a sample of the cost of tax-return preparation by services
such as H&R Block. Answer questions (a), (b), and (c) without using Excel:
a) Compute the mean, median, and mode. Comment on the skewness of data.
b) Compute the first and third quartiles.
c) Compute and interpret the 79th percentile.
d) Now use Excel and give the descriptive statistics of this data set.
2) Seven airline passengers in economy class on the same flight paid an average of
$361 per ticket. Because the tickets were purchased at different times and from different sources, the prices varied. The first five passengers paid $420, $210, $333, $695,
and $485. The sixth and seventh tickets were purchased by a couple who paid identical/equal fares. What price did each of them pay?
1
3) The following table gives the frequency distribution of the total miles driven during
2005 by 300 car owners.
Miles driven in 2005 (in thousands)
0 to less than 5
5 to less than 10
10 to less than 15
15 to less than 20
20 to less than 25
25 to less than 30
30 to less than 35
35 to less than 40
Number of car owners
7
26
59
71
62
39
22
14
Find the mean, variance, standard deviation, median, first quartile and third quartile
for the above data.
4) Twelve sheep were fed a special diet consisting of dried grass and barley for three
months. At the end of the period the plasma insulin concentration (µU/ml) was determined for each sheep. The data are:
20.5
26.2
18.8
21.2
22.1
21.6
25.4
26.8
22.9
22.8
30.8
28.4
Without using Excel find:
a) Variance of the data.
b) The interquartile range (IQR). What does the IQR explain about the distribution
of the plasma insulin concentration of the twelve sheep?
c) Determine the proportion of plasma insulin concentration falling within 2 standard
deviations of the mean.
5) The SAT scores of 100 students have a mean of 975 and a standard deviation of 105.
The GPAs of the same 100 students have a mean of 3.16 and a standard deviation of
0.22. Is the coefficient of variation in SAT scores greater or less than that in GPAs?
6) Some of the best-known food franchises and the number of retail locations for each
are given in data posted on NEXUS (The New York Times Almanac, 2010).
a) Without using Excel, calculate a five-number summary (Min, Q1, Q2, Q3, Max).
b) Now use Excel to draw the box plot using the data. Are there any outliers?
7) Use the sample data given below to find the coefficient of variation for each of the
two samples. Compare and interpret the result in your own words?
Heights (in.) of men: 71 66 72 69 68 69
Lengths (mm) of cuckoo eggs: 19.7 21.7 21.9 22.1 22.1 22.3 22.7 22.9 23.9
2
8) Assume total cholesterol value for a certain population is approximately bell shaped
with a mean of 200mg/100ml and a standard deviation of 20mg/100ml.
a) What is the proportion that an individual picked at random from this population
will have a cholesterol level between 200 and 240 mg/100ml?
b) What is the interval containing 95% of all cholesterol levels of this population?
9) The three quartiles for systolic blood pressure in a sample of n = 179 employees
from a big business corporation were:
Q1 = 108, Q2 = 116, Q3 = 120 and also P90 [the 90th percentile] = 127.
a) How many employees have a systolic blood pressure between 116 and 127?
b) A systolic blood pressure greater than 140 is considered high. Would a blood
pressure of 140 be considered an outlier? Justify your answer.
3
...

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