Which of these random samples represents a representative sample of the systolic blood pressure of all patients in a hospital?
•
The systolic blood pressure of 50 children admitted in the hospital.
•
The systolic
...
Which of these random samples represents a representative sample of the systolic blood pressure of all patients in a hospital?
•
The systolic blood pressure of 50 children admitted in the hospital.
•
The systolic blood pressure of 50 patients in the hospital.
•
The systolic blood pressure of 50 employees in the hospital.
•
The systolic blood pressure of 50 patients in the neurology department.
2
Rachel recorded the number of calls she made at work during the week:
Day Calls
Monday 18
Tuesday 14
Wednesday 24
Thursday 16
She expected to make 18 calls each day. To answer whether the number of calls follows a uniform distribution, a chi-square test for goodness of fit should be performed. (alpha = 0.10)
What is the chi-squared test statistic? Answers are rounded to the nearest hundredth.
•
3.11
•
1.52
•
4.61
•
3.27
3
A poll conducted a week before the school election to the student council showed that Janice would win with 63% of the vote. The margin of error was 14%.
If Janice needs to receive at least half the votes to win the election, can we be confident of Janice's victory?
•
Yes, because the poll stated that she will win with 63% of the vote.
•
No, because she could receive as low as 49% of the vote.
•
No, because she could receive as low as 14% of the vote.
•
Yes, because she could receive as much as 77% of the vote.
4
There is a 30% chance of rain tomorrow.
What are the odds in favor of it raining?
•
3:7
•
3:10
•
10:3
•
7:3
5
This scatterplot shows the performance of an electric motor using the variables speed of rotation and voltage.
Select the answer choice that accurately describes the data's form, direction, and strength in the scatterplot.
•
Form: The data points are arranged in a curved line.
Direction: The speed of rotation increases with an increase in voltage.
Strength: The data points are far apart from each other.
•
Form: The data points appear to be in a straight line.
Direction: The speed of rotation increases with an increase in voltage.
Strength: The data points are closely concentrated.
•
Form: The data points appear to be in a straight line.
Direction: The voltage increases as the speed of rotation increases.
Strength: The data points are closely concentrated.
•
Form: The data points are arranged in a curved line.
Direction: The voltage increases as the speed of rotation increases.
Strength: The data points are far apart from each other.
6
What do the symbols , , and represent?
•
Defined variables
•
Variables of interest
•
Sample statistics
•
Population parameters
7
In a survey to rate the pizzas served by a pizza parlor, 250 people rated their agreement with the statement, “The pizzas here are one of the best I’ve ever had.” The answers were put into a table.
Rating Frequency
Strongly Agree 27
Agree 50
Neutral 75
Disagree 54
Strongly Disagree 44
The relative frequency of people who strongly agree with the statement is __________.
•
20%
•
27%
•
10.8%
•
17.6%
8
Carl throws a single die twice in a row. For the first throw, Carl rolled a 2; for the second throw he rolled a 4.
What is the probability of rolling a 2 and then a 4? Answer choices are in the form of a percentage, rounded to the nearest whole number.
•
22%
•
3%
•
33%
•
36%
9
For ten students, a teacher records the following scores of two assessments, Quiz 1 and Test.
Quiz 1 (x) Test (y)
15 20
12 15
10 12
14 18
10 10
8 13
6 12
15 10
16 18
13 15
Mean 11.9 14.3
Standard Deviation 3.3 3.5
The correlation of Quiz 1 and Test is 0.568.
Given the information below, what is the slope and y-intercept for the least-squares line of the Quiz 1 scores and Test scores? Answer choices are rounded to the hundredths place.
•
Slope = 0.54
y-intercept = 1.71
•
Slope = 0.54
y-intercept = 1.22
•
Slope = 0.60
y-intercept = 7.16
•
Slope = 0.60
y-intercept = 1.22
10
Select the statement that accurately describes unimodal distribution.
•
A distribution in which numerous values are more frequent than other values.
•
A distribution in which two distinct values are more frequent than the other values.
•
A distribution in which the values are distributed uniformly.
•
A distribution in which one value is more frequent than other values.
11
A scientist is conducting a study on the effect of eating chocolate and overall mood. They believe that gender is a significant factor. The participants are divided by gender. Then, within each group, participants are randomly assigned to consume either chocolate or a placebo and then rate their mood for the day. This experiment will run for two weeks.
Which type of experimental design does this situation describe?
•
Case-Control Design
•
Completely Randomized Design
•
Matched-Pair Design
•
Randomized Block Design
12
A new pet food product for small dogs has been developed to help with tooth decay. Fifty-two dogs participate in the study. Each dog owner picks a card from a standard deck out of a hat. If the card is red, their dog will be in the treatment group. If the card is black, their dog will be in the placebo group.
Which experimental design was used?
•
Case-Control Design
•
Completely Randomized Design
•
Matched-Pair Design
•
Randomized Block Design
13
John, the owner of an ice-cream parlor, collects data for the daily sales of ice cream with respect to the daily temperature.
If John were to create a scatterplot, all of the following will be characteristics of correlation EXCEPT ___________.
•
Degree of association between the daily sales and temperature
•
Direction of association between the daily sales and temperature
•
Strength of association between the daily sales and temperature
•
Amount of daily sales at any given temperature
14
One condition for performing a hypothesis test is that the observations are independent. Marta is going to take a sample from a population of 600 students.
How many students will Marta have to sample without replacement to treat the observations as independent?
•
300
•
540
•
60
•
120
15
The following shows the Consumer Price Index (CPI) for the years 2000-2005. All of the values use a reference year of 1983.
Which of the following is true about the CPI, based on the information?
•
$100 in 2002 would be equivalent to $189.70 in 2004.
•
$100 in 2000 would be equivalent to $189.7 in 2004.
•
$100 in 1983 would be equivalent to $189.70 in 2004.
•
$100 in 2004 would have been worth 189.70 in 1983.
16
Which of the following scatterplots shows a correlation affected by non-linearity?
•
•
•
•
17
John makes random guesses on his multiple-choice test, which has five options for each question. Let the random variable X be the number of guesses taken before guessing correctly.
Assuming the guesses are independent, find the probability that he doesn't guess correctly until his 6th guess.
•
0.3277
•
0.0789
•
0.0655
•
0.3521
18
What value of z* should be used to construct an 88% confidence interval of a population mean? Answer choices are rounded to the thousandths place.
•
1.645
•
1.220
•
1.555
•
1.175
19
Which of the following is a condition of binomial probability distributions?
•
All observations made are dependent on each other.
•
All observations are made randomly.
•
All observations are mutually exclusive.
•
All observations made are independent of each other.
20
Katherine, Jonathan, and Ryan went bowling. Afterward, two of them decided to make bar graphs to plot their scores.
Who made Graph 2, and why?
•
Jonathan, because he wanted to make the scores appear very different.
•
Jonathan, because he wanted to make the scores appear reasonably close.
•
Katherine, because she wanted to make the scores appear reasonably close.
•
Katherine, because she wanted to accurately show each person's score.
21
What is the probability of NOT drawing a face card from a standard deck of 52 cards?
•
•
•
•
22
A local school newspaper's editor wants to survey students to determine the approval rating of the current student council president.
How would the newspaper apply the cluster sampling method to find this information?
•
The newspaper staff surveys every student in a randomly selected grade.
•
The newspaper staff surveys only the female students in the entire school.
•
The newspaper staff surveys random students from every grade in the school.
•
The newspaper staff surveys 30 students from each grade in the school.
23
At Priscilla's school, the final grade for her Calculus course is weighted as follows:
• Tests: 50%
• Quizzes: 30%
• Homework: 20%
Priscilla has an average of 87% on her tests, 100% on her quizzes, and 20% on her homework.
What is Priscilla's weighted average?
•
69%
•
56.1%
•
73.4%
•
77.5%
24
The dot plot below shows the number of songs Carly downloaded over 15 successive weekends
What is the greatest number of songs downloaded?
•
9
•
10
•
8
•
5
25
A coin is tossed 50 times, and the number of times heads comes up is counted.
Which of the following statements about the distributions of counts and proportions is FALSE?
•
The distribution of the count of getting heads can be approximated with a normal distribution.
•
The distribution of the count of getting tails can be approximated with a normal distribution.
•
The count of getting heads is a binomial distribution.
•
The count of getting heads from a sample proportion of size 20 can be approximated with a normal distribution.
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