for Miss Professor only
jwlinscombe
stats_homework_questions.docx1.
|
Cause of Death |
Number of Deaths |
|
Heart disease |
611,105 |
|
Cancer |
584,881 |
|
Accidents |
130,557 |
|
Stroke |
128,978 |
|
Alzheimer's disease |
84,767 |
|
Diabetes |
75,578 |
|
Influenza and Pneumonia |
56,979 |
|
Suicide |
41,149 |
a. What is the variable for this data set?
A. The cause of death from each disease.
B. The number of deaths from each disease.
C. The cause of death.
D. The number of deaths.
b. How many observations are in this data set?
c. How many elements does this data set contain?
IE
|
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2.
The following data give the results of a sample survey. The letters A,B,C
represent the three categories.
|
A |
B |
A |
C |
B |
B |
A |
C |
A |
C |
|
C |
C |
A |
B |
A |
C |
B |
C |
B |
B |
|
B |
C |
A |
B |
C |
A |
B |
B |
B |
C |
a. Prepare a frequency distribution table.
|
catagory |
Frequency |
|
A |
|
|
B |
|
|
C |
|
b. Calculate the relative frequencies and percentages for all categories.
Round your answers for relative frequencies to three decimal places and your answers for percentages to one decimal place.
|
catagory |
Relative Frequency |
Percentage |
|
A |
|
|
|
B |
|
|
|
C |
|
|
c. What percentage of the elements in this sample belong to Category
B?
Round your answer to one decimal place.
___________________% of the elements in this sample belong to category B.
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the tolerance is +/-2%
e. Draw a bar graph for the frequency distribution.
3.
The accompanying table lists the 2010 median household incomes, rounded to the nearest dollar, for all 50 states and the District of Columbia.
|
State |
2010 Median Household Income (dollars) |
|
State |
2010 Median Household Income (dollars) |
|
AL |
40,976 |
|
MT |
41,467 |
|
AK |
58,198 |
|
NE |
52,728 |
|
AZ |
47,279 |
|
NV |
51,525 |
|
AR |
38,571 |
|
NH |
66,707 |
|
CA |
54,459 |
|
NJ |
63,540 |
|
CO |
60,442 |
|
NM |
45,098 |
|
CT |
66,452 |
|
NY |
49,826 |
|
DE |
55,269 |
|
NC |
43,753 |
|
DC |
55,528 |
|
ND |
51,380 |
|
FL |
44,243 |
|
OH |
46,093 |
|
GA |
44,108 |
|
OK |
43,400 |
|
HI |
58,507 |
|
OR |
50,526 |
|
ID |
47,014 |
|
PA |
48,460 |
|
IL |
50,761 |
|
RI |
51,914 |
|
IN |
46,322 |
|
SC |
41,709 |
|
IA |
49,177 |
|
SD |
45,669 |
|
KS |
46,229 |
|
TN |
38,686 |
|
KY |
41,236 |
|
TX |
47,464 |
|
LA |
39,443 |
|
UT |
56,787 |
|
ME |
48,133 |
|
VT |
55,942 |
|
MD |
64,025 |
|
VA |
60,363 |
|
MA |
61,333 |
|
WA |
56,253 |
|
MI |
46,441 |
|
WV |
42,839 |
|
MN |
52,554 |
|
WI |
50,522 |
|
MS |
37,985 |
|
WY |
52,359 |
|
MO |
46,184 |
|
|
|
|
Source: U.S. Census Bureau. |
a. Construct a frequency distribution table using the following classes.
|
Median Household Income |
Frequency |
|
37,000 to 41,999 |
|
|
42,000 to 46,999 |
|
|
47,000 to 51,999 |
|
|
52,000 to 56,999 |
|
|
57,000 to 61,999 |
|
|
62,000 to 66,999 |
|
b. Calculate the relative frequency and percentage for each class.
Round your answers for relative frequencies to three decimal places and your answers for percentages to one decimal place.
|
Median Household Income |
Relative Frequency |
Percentage |
|
37,000 to 41,999 |
|
|
|
42,000 to 46,999 |
|
|
|
47,000 to 51,999 |
|
|
|
52,000 to 56,999 |
|
|
|
57,000 to 61,999 |
|
|
|
62,000 to 66,999 |
|
|
c. Based on the frequency distribution, do the data appear to be symmetric or skewed?
The data appear to be
A. symmetric
B. skewed
d. What percentage of these states had an estimated median household income of $42,000or more?
Round your answer to one decimal place.
____________________% of these states had an estimated median household income of $42,000 or more.
4.
Which of the following is not a characteristic of the normal distribution?
|
A |
The two tails of the curve extend indefinitely |
|
B |
The total area under the curve is 1.0 |
|
C |
The curve is symmetric about the mean |
|
D |
The value of the mean is always greater than the value of the standard deviation. |
5.
The total area under a normal distribution curve to the left of the mean is always:
|
|
A.Greater than.5 |
|
|
B.equal to 1 |
|
|
C.equal to zero |
|
|
D. equal to 0.5
|
6.
For the standard normal distribution, the mean is:
|
A |
zero and the standard deviation is 1 |
|
B |
1 and the standard deviation is 1 |
|
C |
1 and the standard deviation is zero |
|
D |
0.5 and the standard deviation is 0.5 |
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7.
For the standard normal distribution, the area between z = 0 and z = 2.38, rounded to four decimal places, is: ___________________
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the tolerance is +/-2%
8.
For the standard normal distribution, the area to the right of z = -1.21, rounded to four decimal places, is: ___________________
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the tolerance is +/-2%
9.
For the standard normal distribution, the area between z = 0.19 and z = 0.92, rounded to four decimal places, is: _______________
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the tolerance is +/-2%
10.
The GMAT scores of all examinees who took that test this year produce a distribution that is approximately normal with a mean of 410 and a standard deviation of 49.
The probability that the score of a randomly selected examinee is between 400 and 480, rounded to four decimal places, is: ___________________
The probability that the score of a randomly selected examinee is less than 370, rounded to four decimal places, is: ___________________
The probability that the score of a randomly selected examinee is more than 530, rounded to four decimal places, is: ____________________
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