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Solve the problem.
7) A bag of colored candies contains 100 pieces of candy in six different colors. The distribution of the colors
listed in the table.
Color
Number 32 16 17
D) 0.14
Brown|Red Yellow Green Orange Blue
9 12 14
If a piece of candy is selected at random, find the probability of selecting a brown candy
A) 0.28
B) 0.32
8) Classify the statement as an example of classical probability, empirical probability, or subjective probability.
The probability that it will rain tomorrow is 95%.
A) classical probability
C) 0.68
B) empirical probability
C) subjective probability
9) State whether the variable is discrete or continuous
The number of phone calls to the attendance office of a high school on any given school day
A) discrete
B) continuous
10) In a pizza takeout restaurant, the following probability distribution was obtained. The random variable x
represents the number of toppings for a large pizza.
XP(x)
00.30
10.40
20.20
30.06
4 0.04
B) mean: 1.30; standard deviation: 1.54
A) mean: 1.30; standard deviation: 2.38
C) mean: 1.54; standard deviation: 1.30
D) mean: 1.14; standard deviation: 1.04
11) A test consists of 20 multiple choice questions, each with five possible answers, only one of which is correct.
Find the mean and the standard deviation of the number of correct answers.
A) mean: 10; standard deviation: 3.16227766
B) mean: 10; standard deviation: 1.78885438
C) mean: 4; standard deviation: 1.78885438
D) mean: 4; standard deviation: 2
12) Sixty-five percent of men consider themselves knowledgeable football fans. If 11 men are randomly select
find the probability that exactly seven of them will consider themselves knowledgeable fans.
A) 0.65
B) 0.243
C) 0.636
D) 0.038
13) SAT verbal scores are normally distributed with a mean of 497 and a standard deviation of 92. Use the
Empirical Rule to determine what percent of the scores lie between 405 and 497.
A) 34%
B) 47.5%
C) 49.9%
D) 68%
14) You are given that x is a random variable with a normal distribution. If u = 28 and o=7, find the py
that x falls in the interval (14< x < 42).
A) 50%
B) 99.7%
C) 95%
D) 68%
D) 0.
15) Find the area under the standard normal curve to the left of z = 1.25.
A) 0.7682
B) 0.2318
C) 0.8944
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score is found to be 106. Find the z-score corresponding to this value
B) 250
D) -2.50
B) 0.0606
D) 0.0066
16) IQ test scores are normally distributed with a mean of 100 and a standard deviation of 15 An individual's IQ
A) 0.40
C) -0.40
17) The lengths of pregnancies of humans are normally distributed with a mean of 268 days and a standard
deviation of 15 days. Find the probability of a pregnancy lasting less than 250 days.
A) 0.1151
C) 0.1591
18) Assume that the salaries of elementary school teachers in the United States are normally distributed with a
mean of $31,000 and a standard deviation of $3000. If a teacher is selected at random, find the probability that
he or she makes more than $35,000.
A) 0.9082
B) 0.4040
19) The distribution of cholesterol levels in teenage boys is approximately normal with 170 and 30 (Source:
U.S. National Center for Health Statistics). Levels above 200 warrant attention. Find the probability that a
teenage boy has a cholesterol level greater than 225.
A) 0.0718
B) 0.0012
D) 0.0918
C) 0.1056
D) 0.0606
C) 0.0336
D) 96.26%
20) Assume that the heights of men are normally distributed with a mean of 69.0 inches and a standard deviation
of 2.8 inches. The U.S. Marine Corps requires that men have heights between 64 and 78 inches. Find the
percentage of men meeting these height requirements.
A) 99.93%
B) 3.67%
C) 31.12%
D) 68.6
21) Assume that the heights of women are normally distributed with a mean of 64.9 inches and a standard
deviation of 2.9 inches. Find Q3, the third quartile that separates the bottom 75% from the top 25%.
C) 62.9
B) 68.2
A) 66.9
D) 0.155
22) Find the z-score that has 93.82% of the distribution's area to its left.
A) 1.54
B) - 1.54
C) -0.155
23) Assume that the salaries of elementary school teachers in the United States are normally distributed with a
mean of $29,000 and a standard deviation of $5000. What is the cutoff salary for teachers in the bottom 10%?
A) $22,600
B) $37,225
C) $20,775
D) $35,400
24) Assume that the heights of women are normally distributed with a mean of 63.6 inches and a standard
deviation of 2.5 inches. If 100 women are randomly selected, find the probability that they have a mean height
greater than 63.0 inches.
A) 0.2881
B) 0.0082
C) 0.8989
D) 0.9918
25) A coffee machine dispenses normally distributed amounts of coffee with a mean of 12 ounces and a standard
deviation of 0.2 ounce. If a sample of 9 cups is selected, find the probability that the mean of the sample will
less than 12.1 ounces.
A) 0.9332
B) 0.2123
C) 0.3216
D) 0.0668
26) The body temperatures of adults are normally distributed with a mean of 98.6°F and a standard deviati
0.60° F. If 36 adults are randomly selected, find the probability that their mean body temperature is gre
than 98.4°F.
A) 0.9360
B) 0.9772
C) 0.8188
D) 0.0228
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earprapriate response
10.2. Construct the confidence ser cow en
A) 1935)
29) Arandom sample of
150.pet
29) A group of 10 bowlers showed that the c192 heppnades
Standard deviat075.
Cape
D) (1961)
83, 1955
A) (2.43, 3.79
271, 3.0)
8. Find the 95% confidence interval of the mean score of all beers
A) (186.5, 1975)
B) (1995, 1945)
Solve the problem.
standard deviation of the birth weights is known to be 8 ounces
A) 47
30) A nurse at a local hospital is interested in estimating the birth weight of infants. How are a sample must she
select if she desires to be 99% confident that the true mean is within 3 ounces of the sample mean? The
B) 5
D) 48
31) A random sample of 50 students has a test score average with a standard deviation of 11.4. Find the maximum
error of estimate if c = 0.98
A) 1.61
D) 0.53
B) 3.88
32) Construct a 98% confidence interval for the population mean, H. Assume the population has a normal
distribution. A study of 14 bowlers showed that their average score was 192 with a standard deviation of 8.
D) (328.3, 386.9)
B) (222.3, 256.1)
C) (186.3, 1977)
C) 1.58
A) (115.4, 158.8)
33) Construct a 95% confidence interval for the population mean, H. Assume the population has a normal
$677.
A) ($2657, $2891)
B) ($2135, $2567)
C) ($2803, $3437)
D) ($1324, $1567)
34) A survey of 100 fatal accidents showed that 52 were alcohol related. Construct a 98% confidence interval &
proportion of fatal accidents that were alcohol related.
A) (0.560, 0.580)
B) (0.880, 0.900)
C) (0.120, 0.340)
D) (0.404, 0.63€
rovide an appropriate response.
35) The mean age of bus drivers in Chicago is 47.4 years. If a hypothesis test is performed, how should you
interpret a decision that rejects the null hypothesis?
A) There is sufficient evidence to support the claim u = 47.4.
B) There is not sufficient evidence to support the claim u = 47.4.
C) There is not sufficient evidence to reject the claim u = 47.4.
D) There is sufficient evidence to reject the claim u = 47.4.
36) A candidate for governor of a certain state claims to be favored by at least half of the voters. If a h
is performed, how should you interpret a decision that rejects the null hypothesis?
A) There is not sufficient evidence to reject the claim Q 20.5.
B) There is sufficient evidence to reject the claim Q 20.5.
C) There is sufficient evidence to support the claim 0 20.5.
D) There is not sufficient evidence to support the claim 20.5.
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The value for a hypothesis test is P-0.066. Do you reject or fail to reject Ho when the level of
sticance is
-0.05
A) not sufficient information to decide
B) reject Ho
C) fail to reject Ho
A) two-tailed
C) left-tailed
D) 0.0304
Solve the problem.
38) An elementary school claims that the standard deviation in reading scores of its fourth grade students is less
than 4.95. Determine whether the hypothesis test for this claim is left-tailed, right-tailed, or two-tailed.
B) right-tailed
39) Suppose you are using a = 0.01 to test the claim that u=1710 using a P-value. You are given the sample
statistics n =35, -1680. The population standard deviation is 82. Find the P-value.
A) 0.3169
B) 0.0154
C) 0.0077
40) You wish to test the claim that us 41 at a level of significance of a = 0.01 and are given sample statistics n 40,
X=42.8, and s=4.3. Compute the value of the standardized test statistic. Round your answer to two decimal
A) 2.12
B) 3.51
C) 1.96
41) Given Ho: u 218, Hau 30
your answer to three decimal places.
A) 1.239
B) 1.997
C) 1.452
D) 1.667
an appropriate response.
Given the equation of a regression line is y=-1.04x + 50.3, determine whether there is a positive
correlation or a negative linear correlation.
A) negative linear correlation
B) positive linear correlation
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they studied for the cum Calculate the correlation coefficient
problem
The data bow are the final scores o 10 randomly selected and the number of hours
Hours,
Scores y
A) 0.547
7818tatitistilo
B) 0.751
that the variables and y have a significant correlation
A) 30
B) 7
Provide an appropriate response.
45) Given the equation of a regression line is ex-6, what is the best predicted value for y given -97 Assum
0991
D) 0.654
C) 50
D) 42
49) Given the equation of a regression line is y=3.5x -5.4. what is the best predicted value for y given x-1.
C) -6.9
D) 12.3
Solve the problem.
Assume that the variables x and y have a significant correlation
A) -9.6
B) -12.3
50) of an area of the Midwest, records were kept on the relationship between the rainfall (in inches) and the
and y have a significant correlation
of wheat (bushels per acre). Which is the best predicted value for y given x = 18.0? Assume that the vari
Rain fall (in inches), X
10.5 8.8 13.4 12.5 18.8 10.3 7.0 15.6 16.0
A) 82.9
B) 83.6
C) 83.1
D) 83.4
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