1) The data show the total number of medals (gold, silver, and bronze) won by each country 1) winning at least one gold medal in the Winter Olympics.
1 2 3 3 4 9 9 11 11
11 14 14 19 22 23 24 25 29
(a). Complete the class frequency table for the data.
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Total Medals
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Frequency
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1- 5
|
|
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6- 10
|
|
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11- 15
|
|
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16- 20
|
|
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21- 25
|
|
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26- 30
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|
(b). Using the above frequency table, construct a HISTOGRAM for the data.
(c). Construct a FREQUENCY POLYGON for the data
(d). From the table only (disregard the individual data), compute an estimate of the MEAN of this "grouped" data.
(e). From the table only (disregard the individual data), compute an estimate of the STANDARD DEVIATION of this "grouped" data.
2) Each year advertisers spend billions of dollars purchasing commercial time on network television. In the first 6 months of one year, advertisers spent $1.1 billion. Who were the largest spenders? In a recent article, the top 10 leading spenders and how much each spent (in million of dollars) were listed:
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Company A
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$70.7
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Company F
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$24.8
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|
Company B
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63.9
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Company G
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24
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Company C
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55.7
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Company H
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22.7
|
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Company D
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54.2
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Company I
|
23.2
|
|
Company E
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30.3
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Company J
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20.1
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Calculate the mean, the median, the sample variance, and the sample standard deviation for the above data.
3) Test scores for a history class had a mean of 79 with a standard deviation of 4.5. Test scores 3) for a physics class had a mean of 69 with a standard deviation of 3.7. One student earned a 55 on the history test and a 70 on the physics test. Calculate the z- score for each test. On which test did the student perform better relative to the other students?
4) Does online teaching help or hinder student learning? To help answer this question, a statistics 4) teacher decided to teach his three sections of a particular class using three different teaching models - a traditional face- to- face section, a completely online section, and a hybrid or blended section that incorporated both a face- to- face and online component in the section. Students were randomly assigned to the different sections, taught identical information using the different teaching formats, and given identical examinations to measure student learning. The goal was to identify if the teaching method used affected student learning performance. Identify the data collection method used in this study.
A) data from a designed experiment
B) data collected observationally
C) data from a published source
5) A county planning commission is attempted to survey 1500 households from the counties 400,000 households. A random sample was selected and surveys were mailed to the randomly selected households, but only 1075 were returned.
The inability to collect data from the 425 households that didn't return the survey would be considered which type of sampling problem?
6) Parking at a large university has become a very big problem. University administrators are 6) interested in determining the average parking time (e.g. the time it takes a student to find a parking spot) of its students. An administrator inconspicuously followed 250 students and carefully recorded their parking times. What type of variable is the administration interested in collecting?
A) quantitative B) qualitative
7) A sociologist recently conducted a survey of citizens over 60 years of age who have net worths too high to qualify for Medicaid but have no private health insurance. The ages of the 25 uninsured senior citizens were as follows:
68 73 66 76 86 74 61 89 65 90 69 92 76
62 81 63 68 81 70 73 60 87 75 64 82
Find the lower fence and the upper fence of the data. Are there any outliers?
8) At the U.S. Open Tennis Championship a statistician keeps track of every serve that a player hits during the tournament. The statistician reported that the mean serve speed of a particular player was 97 miles per hour (mph) and the standard deviation of the serve speeds was 13 mph. Assume that the statistician also gave us the information that the distribution of the serve speeds was bell- shaped and symmetric.
Can we use the Empirical Rule to estimate the proportion of the player's serves that was between 110 mph and 136 mph? Why? What would the estimate of the proportion be?
9) In an eye color study, 25 out of 50 people in the sample had brown eyes. In this situation, what 9) does the number .50 represent?
A) a class percentage B) a class relative frequency
C) a class D) a class frequency
10) The total points scored by a basketball team for each game during its last season have been 10) summarized in the table below. Which statement following the table must be true?
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Score
|
Frequency
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|
41- 60
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3
|
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61- 80
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8
|
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81- 100
|
12
|
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101- 120
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7
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A) The range is at least 41 but at most 79. B) The range is at least 41 but at most 120.
C) The range is 79. D) The range is at least 81 but at most 100.