Download sample test 1 - Kennesaw State University | College of Science

Sample Test 1
Math 1107
DeMaio
Name___________________________________
MULTIPLE CHOICE. Choose the one alternative that best completes the statement or answers the question.
Find the mean of the data.
1) Jody got a bank statement each month that listed the balance, in dollars, in her checking account.
Here are the balances on several statements.
$315.89
$486.78
$247.65
$357.35
$512.81
$302.17
$372.42
$352.59
1)
$469.70
Round your answer to the nearest cent.
A) $357.35
B) $488.19
C) $379.71
D) $373.04
E) $427.17
Find the median of the data.
2) The precipitation, in inches, for August is given for 20 different cities.
3.5
3.9
3.7
2.7
1.6
1.0
2.2
0.4
2.4
3.6
1.5
3.7
A) 3.40 in.
3.7
4.2
4.2
2.0
2)
4.1
3.4
3.4
3.6
B) 3.05 in.
C) 3.50 in.
D) 2.94 in.
E) 3.45 in.
Solve the problem.
3) The weights, in pounds, of 18 randomly selected adults are given below. Find the range.
120
127
114
3)
165 187 143 119 132
156 179 159 180 202
146 151 168 173 144
A) 88 lb
B) (114, 202) lb
C) (120, 202) lb
D) 202 lb
E) 78 lb
4) Here are the average mathematics achievement scores for ninth graders in 34 counties. Find the
standard deviation.
598
548
515
462
A) 54
588
542
512
458
587
540
501
444
586
538
498
435
582
537
493
431
580
534
489
407
B) 55
561 555 553
532 529 528
485 483 465
386
C) 55.6
D) 57.3
1
E) 56
4)
5) The data below consists of the heights (in inches) of 20 randomly selected women. Find the 10%
trimmed mean of the data set. The 10% trimmed mean is found by arranging the data in order,
deleting the bottom 10% of the values and the top 10% of the values and then calculating the mean
of the remaining values.
67
68
61
59
64
70
63
64
A) 64.6 in
62
67
75
68
61
62
66
65
5)
63
63
60
71
B) 64.7 in
C) 51.7 in
D) 65.0 in
Use summary statistics to answer the question.
6) Here are some summary statistics for annual snowfall in a certain town compiled over the last 15
years: lowest amount = 10 inches, mean = 41 inches, median = 34 inches, range = 90 inches,
IQR = 51, Q1 = 16, standard deviation = 10 inches. Between what two values are the middle 50% of
snowfall found?
6)
A) 16 and 67
B) 8.5 and 25.5
C) 41 and 34
D) 10 and 100
E) 10.25 and 30.75
Find the number of standard deviations from the mean. Round to the nearest hundredths.
7) The average number of pounds of sugar a person eats per year is 8 pounds with a standard
deviation of 1.5 pounds. How many standard deviations from the mean is the consumption of 11
pounds of sugar?
7)
A) About 1.00 standard deviations above the mean
B) About 2.00 standard deviations below the mean
C) About 1.00 standard deviations below the mean
D) About 2.00 standard deviations above the mean
E) About 5.33 standard deviations above the mean
Solve the problem.
8) The mean weights for medium navel oranges is 9.8 ounces. Suppose that the standard deviation
for the oranges is 3.3 ounces. Which would be more likely, an orange weighing 14 ounces or an
orange weighing 4.9 ounces? Explain.
A) A 4.9 ounce orange is more likely (z = -1.48) compared with an orange weighing 14 ounces (z
= 1.27).
B) A 14 ounce orange is more likely (z = -1.48) compared with an orange weighing 4.9 ounces (z
= 1.27).
C) A 4.9 ounce orange is more likely (z = 1.48) compared with an orange weighing 14 ounces (z =
4.24).
D) A 4.9 ounce orange is more likely (z = 1.27) compared with an orange weighing 14 ounces (z =
-1.48).
E) A 14 ounce orange is more likely (z = 1.27) compared with an orange weighing 4.9 ounces (z =
-1.48).
2
8)
Find the z-score corresponding to the given value and use the z-score to determine whether the value is unusual.
Consider a score to be unusual if its z-score is less than -2.00 or greater than 2.00. Round the z-score to the nearest tenth
if necessary.
9) A body temperature of 96.8e F given that human body temperatures have a mean of 98.20e F and a
standard deviation of 0.62e .
A) 2.2; unusual
B) -2.2; not unusual
C) -1.4; not ususal
D) -2.2; unusual
9)
Determine which score corresponds to the higher relative position.
10) Which score has the better relative position: a score of 34 on a test for which x = 25 and s = 10, a
10)
score of 3.8 on a test for which x = 2.5 and s = 1 or a score of 491.2 on a test for which x = 457 and
s = 57?
A) A score of 491.2
B) A score of 3.8
C) A score of 34
Provide an appropriate response.
11) Human body temperatures have a mean of 98.20e F and a standard deviation of 0.62e . Sally's
temperature can be described by z = 1.5. What is her temperature? Round your answer to the
nearest hundredth.
A) 97.27eF
B) 99.13eF
C) 100.62eF
11)
D) 99.70eF
Use the empirical rule to solve the problem.
12) The amount of Jen's monthly phone bill is normally distributed with a mean of $56 and a standard
deviation of $8. What percentage of her phone bills are between $32 and $80?
12)
A) 95.44%
B) 68.26%
C) At least 89.99%
D) 99.74%
E) At least 75%
Draw the Normal model and use the 68-95-99.7 Rule to answer the question.
13) Assuming a Normal model applies, a town's average annual snowfall (in inches) is modeled by
N(45, 8). Draw and label the Normal model. About what percent represents snowfall of less than
53 inches?
A)
21
29
37 45 53
Snowfall (in.)
61
37 45 53
Snowfall (in.)
61
69
; 16%
B)
21
29
69
; 99.85%
3
13)
C)
21
29
37 45 53
Snowfall (in.)
61
37 45 53
Snowfall (in.)
61
37 45 53
Snowfall (in.)
61
69
; 97.5%
D)
21
29
69
; 84%
E)
21
29
69
; 2.5%
Solve the problem.
14) For a recent English exam, use the Normal model N(73, 9.2) to find the percent of scores over 85.
Round to the nearest tenth of a percent.
A) 88.5%
B) 9.7%
C) 90.3%
D) 8.1%
14)
E) 11.5%
Find the indicated probability.
15) The weekly salaries of teachers in one state are normally distributed with a mean of $490 and a
standard deviation of $45. What is the probability that a randomly selected teacher earns more than
$525 a week?
A) 0.7823
B) 0.2823
C) 0.1003
15)
D) 0.2177
Solve the problem.
16) Assume that women have heights that are normally distributed with a mean of 63.6 inches and a
standard deviation of 2.5 inches. Find the value of the quartile Q3.
A) 64.3 inches
B) 65.3 inches
C) 66.1 inches
D) 67.8 inches
17) The weights of certain machine components are normally distributed with a mean of 8.61 g and a
standard deviation of 0.07 g. Find the two weights that separate the top 3% and the bottom 3%.
Theses weights could serve as limits used to identify which components should be rejected.
A) 8.58 g and 8.64 g
B) 8.46 g and 8.80 g
C) 8.60 g and 8.62 g
4
16)
D) 8.48 g and 8.74 g
17)
18) The plastic arrow on a spinner for a child's game stops rotating to point at a color that will
determine what happens next. Determine whether the following probability assignment is
legitimate.
Red
0.50
Probability of ...
Yellow Green
0.10
0.20
Blue
0.10
A) Legitimate
B) Not legitimate
19) An Imaginary Poll in April 2005 asked 931 U.S. adults what their main source of news was:
newspapers, television, internet, or radio? Here are the results:
Response
Number
Newspapers 242
Television 398
Internet
126
Radio
165
Total
931
If we select a person at random from this sample of 931 adults, what is the probability that the
person responded "Newspapers"?
A) 0.242
B) 0.177
C) 0.427
D) 0.260
B) 0.65
C) 0.10
D) 0.90
19)
E) 0.135
20) In a business class, 35% of the students have never taken a statistics class, 10% have taken only one
semester of statistics, and the rest have taken two or more semesters of statistics. The professor
randomly assigns students to groups of three to work on a project for the course. What is the
probability that the first group mate you meet has studied two or more semesters of statistics?
A) 0.55
18)
20)
E) 0.45
Find the indicated probability.
21) If a person is randomly selected, find the probability that his or her birthday is in May. Ignore leap
years.
1
1
31
1
B)
C)
D)
A)
365
12
365
31
21)
22) A class consists of 82 women and 40 men. If a student is randomly selected, what is the probability
that the student is a woman?
20
1
41
41
A)
B)
C)
D)
61
122
61
20
22)
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Answer Key
Testname: SAMPLE TEST 1
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