Designing a Study — Unit test Answers

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1
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Ariana, Boris, Cecile, and Diego are students in the service club. Three of the four students will be chosen to attend a conference.Which choice represents the sample space, S, for this event?

A
S = {ABC, ABD, ACD, BCD}
B
S = {ABC, BCA, CDA, DAC}
C
S = {ABC, ABD, BAC, BDA, ACD, ADC, BCD, BDC}
D
S = {ABC, ABD, ACD, BCA, BCD, BDC, CAB, CBD, DAC, DBC}
2
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Miriam is visiting five friends in her neighborhood, Louise, Mike, Nicole, Oscar, and Pascal. In each arrangement below, the first initial of each person’s name represents that person’s position as he or she is visited by Miriam.Which shows all the outcomes for this event if she visits with Nicole first and Louise last?

A
NMOPL, NOMPL, NPMOL
B
NLMOP, NLOMP, NMLOP, NMOLP, NOMNP, NONMP
C
NMOPL, NMPOL, NOPML, NOMPL, NPMOL, NPOML
D
NLMOP, NMLOP, NOLMP
3

The spinner is equally likely to land on any of the five sections.

Question illustration
A
One-fifth
Option A
B
Two-fifths
Option B
C
Three-fifths
Option C
D
Four-fifths
Option D
4

The times of all 15 year olds who run a certain race are approximately normally distributed with a given mean = 18 sec and standard deviation = 1.2 sec. What percentage of the runners have times less than 14.4 sec?

Question illustration
A
0.15%
B
0.30%
C
0.60%
D
2.50%
5

A coach chooses six out of eight players to go to a skills workshop.If order does not matter, in how many ways can he choose the players for the workshop?

A
6
B
8
C
28
D
56
6

A researcher wants to survey people from different age groups to analyze voting patterns. Which type of survey will best accomplish this goal?

A
systematic random sampling
B
voluntary sampling
C
convenience sampling
D
stratified sampling
7

Which set of population data is the least dispersed from its mean?

A
2, 3, 2, 9
B
4, 0, 4, 0
C
6, 2, 2, 2
D
9, 3, 5, 3
8

The set of life spans of an appliance is normally distributed with a mean = 48 months and a standard deviation = 8 months. What is the life span of an appliance that has a z-score of –3?

Question illustration
A
3 months
B
24 months
C
45 months
D
72 months
9

A survey asked about the number of people who eat breakfast almost every day (B) and the number of people who buy cereal at least once a month (C). The results of the survey are shown in the Venn diagram.

Question illustration
A
StartFraction 11 Over 64 EndFraction
Option A
B
StartFraction 11 Over 53 EndFraction
Option B
C
StartFraction 53 Over 64 EndFraction
Option C
D
StartFraction 53 Over 57 EndFraction
Option D
10

The president of the math club is conducting a survey to see where the twelfth-grade class wants to go on their field trip. Instead of asking the whole class, she surveys only the twelfth-grade members of the math club. She records their choices and plans to present the results to the school principal. What type of sampling did she use?

A
systematic random sampling
B
simple random sampling
C
stratified sampling
D
convenience sampling
11

Twelve education students, in groups of four, are taking part in a student-teacher program. Mark cannot be in the first group because he will be arriving late.How many ways can the instructor choose the first group of four education students?

A
220
B
330
C
1,980
D
7,920
12

Which statements are true? Select three options.

A
P(F|C) = 0.75
B
P(C|F) = 0.25
C
P(C∩F) = 0.09
D
P(C∩F) = P(F∩C)
E
P(C|F) = P(F|C)
13

The grades of a science test are normally distributed. Thanh finds that his grade on the test has a z-score of –2.5. Which statement must be true?

A
Thanh’s grade is 2.5 standard deviations below the mean of the test grades.
B
Thanh’s grade is 2.5 points below the mean of the test grades.
C
Thanh’s grade is 2.5 standard deviations above the mean of the test grades.
D
Thanh’s grade is 2.5 points above the mean of the test grades.
14

Opal is collecting data on water levels in different parts of town. She notices that her sample data has a low-value outlier. Which statement must be true?

A
Removing the outlier will not change the spread of the graph of the data set.
B
Removing the outlier will not change the variance of the data set.
C
Removing the outlier will increase the variance of the data set.
D
Removing the outlier will decrease the spread of the graph of the data set.
15

Voluntary sampling is one type of sampling method that is not probability based. This means that

A
each member of a population is equally likely to be chosen for the survey.
B
the results of the survey cannot reliably be extended and generalized.
C
the likelihood of a member of the population volunteering to be surveyed is not probable.
D
the results of the survey are not mathematically probable.

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