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1. (A) Classify the following as an example of nominal, ordinal, interval, or ratio level of measurement, and state why it represents this level: political affiliation of members of a local church
(B) Determine if this data is qualitative or quantitative: 16.5 kilowatts of power
(C) In your own line of work, give one example of a discrete and one example of acontinuous random variable, and describe why each is continuous or discrete.
2. The sleep habits of people suffering from sleep apnea were studied to see their effect on concentration. The sleep patterns of both sufferers of sleep apnea and those without sleep apnea were monitored and recorded. The subjects were asked to perform a series of tasks the following day to test their ability to concentrate.
I. What is the population?
II. What is the sample?
III. Is the study observational or experimental? Justify your answer.
IV. What are the variables?
V. For each of those variables, what level of measurement (nominal, ordinal, interval, or ratio) was used to obtain data from these variables?
3. Construct both an ungrouped and a grouped frequency distribution for the data given below:
184 174 180 172 184 175 180 178 183 180
173 180 182 173 172 179 182 180 172 186
4. Given the following frequency distribution, find the mean, variance, and standard deviation. Please show all of your work.
Class
Frequency
36-38
18
39-41
7
42-44
12
45-47
22
48-50
13
5. The following data lists the average monthly snowfall for January in 15 cities around the US:
8 35 31 26 36 41 29 40
17 16 33 38 30 34 13
Find the mean, variance, and standard deviation. Please show all of your work.
6. Rank the following data in increasing order and find the positions and values of both the 15th percentile and 84th
percentile. Please show all of your work.
4 5 4 5 8 0 6 5 9 2 1 9
7. For the table that follows, answer the following questions:
x
y
1
1/2
2
1
3
3/2
4
– Would the correlation between x and y in the table above be positive or negative?
– Find the missing value of y in the table.
– How would the values of this table be interpreted in terms of linear regression?
– If a “line of best fit” is placed among these points plotted on a coordinate system, would the slope of this line be positive or negative?
8. Determine whether each of the distributions given below represents a probability distribution. Justify your answer.
[meteor_slideshow slideshow=”arp2″]
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