mastery 2.2
hotjpka69
mastery_2.2.odt1.
Consider the following population data:
21 27 11 13 7
a. Calculate the range.
Range
b.
Calculate MAD. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
MAD
c.
Calculate the population variance. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Population variance
d.
Calculate the population standard deviation. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Population standard deviation
rev: 07_31_2013_QC_32713
2.
Consider the following sample data:
x 11 13 15 17 19
y 19 17 15 13 11
a.
Calculate the covariance between the variables. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Covariance
b-1.
Calculate the correlation coefficient. (Round your intermediate calculations to 4 decimal places and final answer to 2 decimal places.)
Correlation coefficient
b-2. Interpret the correlation coefficient.
There is
relationship between x and y.
rev: 07_31_2013_QC_32713
3.
Consider the following observations from a population:
88 235 73 138 138 71 229 153 73
PictureClick here for the Excel Data File
|
Population observations |
|
88 |
|
235 |
|
73 |
|
138 |
|
138 |
|
71 |
|
229 |
|
153 |
|
73 |
|
|
a. Calculate the mean and median. (Round "mean" to 2 decimal places.)
Mean
Median
b.
Select the mode. (You may select more than one answer. Single click the box with the question mark to produce a check mark for a correct answer and double click the box with the question mark to empty the box for a wrong answer.)
73
235
138
71
153
229
88
rev: 07_31_2013_QC_32713
4.
A manager of a local retail store analyzes the relationship between advertising and sales by reviewing the store’s data for the previous six months.
Advertising (in $100s) Sales (in $1,000s)
174 144
57 45
56 44
55 43
212 136
210 134
PictureClick here for the Excel Data File
|
Advertising (in $100s) |
Sales (in $1,000s) |
|
174 |
144 |
|
57 |
45 |
|
56 |
44 |
|
55 |
43 |
|
212 |
136 |
|
210 |
134 |
a.
Calculate the mean of advertising and the mean of sales. (Round your answers to 2 decimal places.)
Mean
Advertising
Sales
b.
Calculate the standard deviation of advertising and the standard deviation of sales. (Round your answers to 2 decimal places.)
Standard Deviation
Advertising
Sales
c-1. Calculate the covariance between advertising and sales. (Round your answer to 2 decimal places.)
Covariance
c-2.
Interpret the covariance between advertising and sales.
Positive correlation
Negative correlation
No correlation
d-1.
Calculate the correlation coefficient between advertising and sales. (Round your answer to 2 decimal places.)
Correlation coefficient
d-2.
Interpret the correlation coefficient between advertising and sales.
Strong positive correlation
Weak positive correlation
No correlation
Strong negative correlation
Weak negative correlation
rev: 07_31_2013_QC_32713
5.
An investment strategy has an expected return of 12 percent and a standard deviation of 8 percent. Assume investment returns are bell shaped.
a.
How likely is it to earn a return between 4 percent and 20 percent? (Enter your response as decimal values (not percentages) rounded to 2 decimal places.)
Probability
b.
How likely is it to earn a return greater than 20 percent?(Enter your response as decimal values (not percentages) rounded to 2 decimal places.)
Probability
c.
How likely is it to earn a return below −4 percent?(Enter your response as decimal values (not percentages) rounded to 2 decimal places.)
Probability
rev: 02_26_2014_QC_44958, 07_12_2014_QC_
6.
The following relative frequency distribution was constructed from a population of 400. Calculate the population mean, the population variance, and the population standard deviation. (Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.)
Class Relative Frequency
−20 up to −10 0.14
−10 up to 0 0.22
0 up to 10 0.32
10 up to 20 0.32
Population mean
Population variance
Population standard deviation
rev: 07_31_2013_QC_32713
7.
Consider the following frequency distribution.
Class Frequency
2 up to 4 19
4 up to 6 61
6 up to 8 79
8 up to 10 19
a.
Calculate the population mean. (Round your answer to 2 decimal places.)
Population mean
b.
Calculate the population variance and the population standard deviation. (Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.)
Population variance
Population standard deviation
rev: 07_31_2013_QC_32713
8.
A data set has a mean of 1,000 and a standard deviation of 50.
a.
Using Chebyshev's theorem, what percentage of the observations fall between 800 and 1,200? (Do not round intermediate calculations. Round your answer to the nearest whole percent.)
Percentage of observations
b.
Using Chebyshev’s theorem, what percentage of the observations fall between 750 and 1,250? (Do not round intermediate calculations. Round your answer to the nearest whole percent.)
Percentage of observations
rev: 07_31_2013_QC_32713
9.
Consider the following returns for two investments, A and B, over the past four years:
Investment 1: 2% 14% –3% 15%
Investment 2: 13% 12% –18% 14%
a-1.
Calculate the mean for each investment. (Round your answers to 2 decimal places.)
Mean
Investment 1 percent
Investment 2 percent
a-2.
Which investment provides the higher return?
Investment 2
Investment 1
b-1.
Calculate the standard deviation for each investment. (Round your answers to 2 decimal places.)
Standard
Deviation
Investment 1
Investment 2
b-2.
Which investment provides less risk?
Investment 1
Investment 2
c-1.
Given a risk-free rate of 1.3%, calculate the Sharpe ratio for each investment. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
Sharpe Ratio
Investment 1
Investment 2
c-2. Which investment has performed better?
Investment 2
Investment 1
rev: 07_31_2013_QC_32713, 11_10_2013_QC_38348
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10.
Scores on the final in a statistics class are as follows.
94 45 95 82 96 100 100 119 110 80
105 119 60 94 92 85 107 89 105 90
PictureClick here for the Excel Data File
|
Scores |
|
94 |
|
45 |
|
95 |
|
82 |
|
96 |
|
100 |
|
100 |
|
119 |
|
110 |
|
80 |
|
105 |
|
119 |
|
60 |
|
94 |
|
92 |
|
85 |
|
107 |
|
89 |
|
105 |
|
90 |
|
|
a.
Calculate the 25th, 50th, and 75th percentiles. (Do not round intermediate calculations. Round your answers to 2 decimal places.)
25th percentile
50th percentile
75th percentile
b-1.
Calculate the IQR, lower limit and upper limit to detect outliers. (Negative value should be indicated by a minus sign. Round your intermediate calculations to 4 decimal places and final answers to 2 decimal places.)
IQR
Lower limit
Upper limit
b-2. Are there any outliers?
Yes
No
rev: 07_31_2013_QC_32713, 09_13_2013_QC_34880, 10_31_2013_QC_38175, 03_03_2014_QC_44705, 09_24_2014_QC_54188, 02_26_2015_QC_CS-5733
