math
QUESTION 1
1. Write the median of the data set given below, round your answer to two digits after the decimal sign
Weight of a sample of 40 Male adults in lb.
119.5 135.0 137.1 137.4 139.0 144.1 144.2 151.0 151.3
151.8 152.6 156.3 161.9 162.4 164.2 164.7 166.1 166.8
169.1 169.8 170.1 172.9 173.3 174.8 175.2 175.8 176.7
179.3 186.6 189.1 191.1 193.8 198.0 201.5 204.6 209.4
213.3 214.5 220.6 237.1
0.5 points
QUESTION 2
1. Given below is a five number summary of a normally distributed data set for time taken in minutes to finish a certain task.
Estimate the standard deviation, round your answer to the nearest whole number.
|
MIN |
Q1 |
Median |
Q3 |
MAX |
|
59.1 |
83.25 |
90 |
96.75 |
120.9 |
0.5 points
QUESTION 3
1. Given below is a five number summary of a normally distributed data set for time taken in minutes to finish a certain task.
How high a number must be to be designated as an outlier according to the 1.5 IQR criterion, i.e. find the number H so that a value larger than H is an outlier according to the 1.5 IQR criterion? Round your answer to the nearest whole number.
|
MIN |
Q1 |
Median |
Q3 |
MAX |
|
59.1 |
83.25 |
90 |
96.75 |
120.9 |
0.5 points
QUESTION 4
1. Compute the GPA of the student whose transcript is shown below ( round the answer to three digits after the decimal sign)
|
Course |
Credit Hours |
Grade |
Grade Point |
|
Calculus-III |
4 |
A |
4 |
|
Physics-I |
4 |
A |
4 |
|
Programming |
3 |
A |
4 |
|
Government |
3 |
C |
2 |
|
World Civilization |
3 |
D |
1 |
|
Health |
1 |
A |
4 |
2.
0.5 points
QUESTION 5
1.
|
|
a. |
The new mean (after changing 27 to 72) will be lower than the old mean because the data values are closer now. |
|
|
b. |
The new standard deviation (after changing 27 to 72) will be lower than the old standard deviation because the data values are closer now. |
|
|
c. |
The new mean (after changing 27 to 72) will be the same as the old mean because just change in one value should not affect the mean. |
|
|
d. |
The new standard deviation (after changing 27 to 72) will be higher than the old standard deviation because the data values are higher now. |
0.5 points
QUESTION 6
1.
0.5 points
QUESTIO N 7
1.
2.
0.5 points
QUESTION 30
1. Do you see Simpson's paradox in the data? If YES, state a plausible reason.
Choose the most suitable statement.
On the actual exam, you shall have to write a statement yourself, it will not be a multiple choice question.
,
|
|
a. |
No there is no Simpson's Paradox in this data. |
|
|
b. |
Yes there is Simpson's Paradox in this data, because A has better success rate for both the surgeries large and small stones as well as for both the small and large combined. |
|
|
c. |
Yes, there is Simpson's Paradox in this data, because A has better success rate for both the surgeries large and small stones but for both the small and large combined, B has a better success rate. This is because more stones involving A were large, and the success rate for the large stones is lower than that for the small stones therefore when we combined the types of stones the trend reversed. |
|
|
d. |
Yes, there is Simpson's Paradox in this data, because A has better success rate for both the surgeries large and small stones but for both the small and large combined, B has a better success rate. This is because more stones involving A were small, therefore when we combined the types of stones the trend reversed. |
0.5 points
QUESTION 31
1. If a list of voters is randomly selected from a list of ALL eligible voters, the sampling will be called
|
|
a. |
Cluster Sampling |
|
|
b. |
Simple random sample |
|
|
c. |
Stratified Sampling |
|
|
d. |
Systematic Sampling |
0.5 points
QUESTION 32
1. If a list of voters is formed by choosing at random several of the city’s zip codes and then all the voters from these selected zip codes are included in the list, the sampling is called
|
|
a. |
Cluster Sampling |
|
|
b. |
Simple Random Sampling |
|
|
c. |
Convenience Sampling |
|
|
d. |
Stratified Sampling |
0.5 points
QUESTION 33
1. A sample is formed by randomly selecting several pieces from each tree in an orchard, the sampling is called
|
|
a. |
Cluster Sampling |
|
|
b. |
Stratified Sampling |
|
|
c. |
Simple Random Sampling |
|
|
d. |
Systematic Sampling |
0.5 points
QUESTION 34
1. To compare the weight loss of people attending two different gyms, data are collected from the attendees at the two gyms, this is an example of
|
|
a. |
observational study |
|
|
b. |
experiment |
|
|
c. |
Double Blind Study |
|
|
d. |
ANOVA for regression |