productlü the driver scoring s 18tn 24 Practice Exam #1 Note: This is a practice
ID: 3048925 • Letter: P
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productlü the driver scoring s 18tn 24 Practice Exam #1 Note: This is a practice Exam. You're encouraged to work with, consult with, or compare your answers with anyone, include the math lab tutors. This practice Exam is not for turning in. 4 llision he tak iat Problem 1: USA Today reported on a study which suggests that frequently heading the ball in soccer lowers players' IQs. A psychologist tested 60 male soccer players ages 14- 29, who played up to five time a week. Players who averaged 10 or more headers a game had an average IQ of 103, while players who headed one or fewer times per game had an average IQ of 112 a. What is the population of interest? b. What is the sample? c. What is the population? d. Identify the type (qualitative or quantitative) of the variable of interest? (Ans Quantitative) Problem 2: Calculate the range, variance, and standard deviation for each of the following data set. a. 4, 2, 1, 0, 1 (Ans. 4, 2.3, 1.52) b. 1, 6, 2, 2, 3, 0, 3 (Ans. 6, 3.62, 1.9) c. 8,-2, 1, 3, 5, 4, 4, 1,3 (Ans. 10, 8, 2.83) Problem 3: Loss of calcium is a serious problem for older women. At the beginning of a study on the inference of exercise on the rate of loss, the amounts of bone mineral content in the radius bone of the dominant hand of seven elderly women were .90 1.06 1.06 .79 .85 91 96 Find the sample variance (Ans. .01) a.Explanation / Answer
2)
a)
range = ( largest - smallest) value
= ( 4 - 0) = 4
Mean= sum of total number/ total count
= 1.6
Variance = summation of (x - mean)^2 / total number
= 2.3
std.deviation = sqrt(variance)
= 1.52
b)
range = ( largest - smallest) value
= ( 6 - 0) = 6
Mean= sum of total number/ total count
= 2.4
Variance = summation of (x - mean)^2 / total number
= 3.62
std.deviation = sqrt(variance)
= 1.90
c)
range = ( largest - smallest) value
= ( 8 - (-2)) = 10
Mean= sum of total number/ total count
= 2.82
Variance = summation of (x - mean)^2 / total number
= 7.44
std.deviation = sqrt(variance)
= 2.73
3)
Mean= sum of total number/ total count
= 0.933
Variance = summation of (x - mean)^2 / total number
= 0.01
std.deviation = sqrt(variance)
= 0.1
4)
for math
x bar = 60 , s = 20 , x = 65
z = ( x bar - x) / s
= ( 65 - 60) / 20
= 0.25
for english
x bar = 78 , s = 10 , x = 72
z = ( x bar - x) / s
= ( 78 - 72) / 10
= -0.60
5)
a)
P(A|B) = P(A intersection B) / P(B)
= 0.1/0.2
= 0.5
b)
P(B|A) = P(A intersection B) / P(A)
= 0.1/0.4
= 0.25
c)If P(A intersection B) = P(A) * P(B) then events are independent
P(A intersection B) = P(A) * P(B)
0.1 = 0.4 * 0.2
0.1 = 0.08
Events A and B are not independent
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