Compare the variation in heights to the variation in weights of thirteen-year old girls. The heights
(in inches) and weights (in pounds) of nine randomly selected thirteen-year old girls are listed
below.
Heights (inches): 58.7 61.4 62.1 64.7 60.1 58.3 64.6 63.7 66.1
Weights (pounds): 89 97 93 119 96 90 123 98 139
A) Heights: 4.3
Weights: 16.0
There is substantially more variation in the weights than in the heights of the girls.
B) Heights: 11.8
Weights: 6.3
There is substantially more variation in the heights than in the weights of the girls.
C) Heights: 4.1
Weights: 15.2
There is substantially more variation in the weights than in the heights of the girls.
D) Heights: 4.5
Weights: 16.8
There is substantially more variation in the weights than in the heights of the girls.
Q. 2Of 1232 people who came into a blood bank to give blood, 397 people had high blood pressure.
Estimate the probability that the next person who comes in to give blood will have high blood
pressure.
A) 0.373 B) 0.241 C) 0.322 D) 0.29
Q. 3The textbook defines unusual values as those data points with z scores less than z = -2.00
or z scores greater than z = 2.00.
Comment on this definition with respect to
Chebyshev's theorem; refer specifically to the percent of scores which would be defined as
unusual according to Chebyshev's theorem.
Q. 4If all the values in a data set are converted to z-scores, the shape of the distribution of the z-scores
will be the same as the distribution of the original data. True or false?
A) False B) True
Q. 5When finding percentiles, if the locator L is not a whole number, one procedure is to interpolate so
that a locator of 23.75, for example, leads to a value that is 3/4 of the way between the 23rd and
24th scores.
Use this method of interpolation to find P75 for the set of test scores below.
51 54 64 68 72 74
76 83 94 94 99
A) 83 B) 88.5 C) 85.75 D) 94
Q. 6A department store, on average, has daily sales of 28,372.72. The standard deviation of sales is
2000. On Tuesday, the store sold 34,885.21 worth of goods. Find Tuesday's z score. Was Tuesday
an unusually good day?
A) 3.26, yes B) 3.42, no C) 2.61, no D) 3.57, yes
Q. 7A study conducted at a certain college shows that 65 of the school's graduates find a job in their
chosen field within a year after graduation.
Find the probability that 11 randomly selected
graduates all find jobs in their chosen field within a year of graduating. Round to the nearest
thousandth if necessary.
A) 0.013 B) 0.009 C) 0.169 D) 7.150
Q. 8Listed below are the systolic blood pressures (in mm Hg) for a sample of men aged 20-29 and for a
sample of men aged 60-69.
Men aged 20-29: 117 122 129 118 131 123
Men aged 60-69: 130 153 141 125 164 139
A) Men aged 20-29: 4.8
Men aged 60-69: 10.6
There is substantially more variation in blood pressures of the men aged 60-69.
B) Men aged 20-29: 4.6
Men aged 60-69: 10.2
There is substantially more variation in blood pressures of the men aged 60-69.
C) Men aged 20-29: 7.6
Men aged 60-69: 4.7
There is more variation in blood pressures of the men aged 20-29.
D) Men aged 20-29: 4.4
Men aged 60-69: 8.3
There is substantially more variation in blood pressures of the men aged 60 -69.
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