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MAT300 Final Exam Answers Sophia
1
David is playing a game where he flips two coins and counts the total number of heads. The possible outcomes and probabilities are shown in the probability distribution below.
What is the expected value for the number of heads from flipping two coins?
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1
•
3
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2
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1.5
2
Shawna finds a study of American men that has an equation to predict weight (in pounds) from height (in inches): ŷ = -210 + 5.6x. Shawna's dad’s height is 72 inches and he weighs 182 pounds.
What is the residual of weight and height for Shawna's dad?
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809.2 pounds
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193.2 pounds
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11.2 pounds
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-11.2 pounds
3
In a poll of 300 preschoolers, 125 said they preferred chocolate ice cream, 71 said they preferred vanilla, 100 said they preferred cookies & cream, and 4 said they had never eaten ice cream.
If a pie chart were to be made showing the preference for each flavor, the central angle for the chocolate ice cream sector would be __________.
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124°
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5°
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150°
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41°
4
Fifty people were asked whether they were left handed. Six people answered "yes."
What is the relative frequency of left-handed people in this group? Answer choices are rounded to the hundredths place.
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8.33
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0.88
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1.14
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0.12
5
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 __________%.
•
27
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17.6
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10.8
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20
6
Two sets A and B are shown in the Venn diagram below.
Which statement is FALSE?
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Set A has 12 elements.
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There are a total of 25 elements shown in the Venn diagram.
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Set B has 10 elements.
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Sets A and B have 5 common elements.
7
Adam tabulated the values for the average speed on each day of his road trip as 60.5, 63.2, 54.7, 51.6, 72.3, 70.7, 67.2, and 65.4 mph.
If Adam wanted to construct a one-sample t-statistic, what would the value for the degrees of freedom be?
•
4
•
7
•
8
•
9
8
For the data plotted in the scatterplot, the r2 value was calculated to be 0.9846.
Which of the following sets of statements is true?
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98.5% of the variation in yearly income is explained by a linear relationship with age.
The correlation coefficient, r, is 0.992
•
98.5% of the variation in age is explained by a nonlinear relationship with yearly income.
The correlation coefficient, r, is 0.969.
•
98.5% of the variation in age is explained by a linear relationship with yearly income.
The correlation coefficient, r, is 0.969.
•
98.5% of the variation in yearly income is explained by a nonlinear relationship with age.
The correlation coefficient, r, is 0.992.
9
A pizza owner asked 50 customers to taste a new type of topping and found that 40 people liked its taste.
Which of these is an example of descriptive statistics?
•
80% of the people in the city where the pizza shop is located like the taste of the pizza topping.
•
80% of all the pizza shop's customers like the taste of the pizza topping.
•
80% of the surveyed customers like the taste of the pizza topping.
•
80% of all people like the taste of the pizza topping.
10
Jenae is able to purchase a different brand of coffee for half the price from a new supplier. She anticipated that her co-workers would object to switching to the new brand, as they were really partial to the coffee they have been drinking so far. Indeed, when offered a taste test of the old brand versus the new brand, her co-workers unanimously rejected the new brand.
Jenae's boss, Steven, pointed out that this result was most likely due to the fact that the taste test was not ________.
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blinded
•
replicated
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randomized
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controlled
11
A table represents the number of students who passed or failed an aptitude test at two different campuses.
East CampusWest Campus
Passed 48 37
Failed 52 63
In order to determine if there is a significant difference between campuses and pass rate, the chi square test for association and independence should be performed.
What is the expected frequency of West Campus and failed?
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63 students
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57.5 students
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50 students
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50.7 students
12
Which statement accurately describes the data's form, direction, and strength from the scatterplot below?
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Form: Linear
Direction: Positive
Strength: Weak
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Form: Linear
Direction: Negative
Strength: Strong
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Form: Linear
Direction: Negative
Strength: Weak
•
Form: Linear
Direction: Positive
Strength: Strong
13
Consider this histogram showing the number of students in grade five who have one or more pets.
What is the difference in the number of students with the most and least numbers of pets?
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4
•
10
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9
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2
14
John randomly selects a ball from a bag containing different colored balls. The odds in favor of his picking a red ball are 3:11.
What is the probability ratio for John picking a red ball from the bag?
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3/11
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3/10
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3/14
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3/8
15
Joe hypothesizes that the students of an elite school will score higher than the general population. He records a sample mean equal to 568 and states the hypothesis as μ = 568 vs μ > 568.
What type of test should Joe do?
•
Joe should not do any of the types of tests listed
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Right-tailed test
•
Two-tailed test
•
Left-tailed test
16
A local gym conducts a survey among the people in a mall.
Which survey question would have a qualitative response?
•
What is the amount of weight you can bench press, in pounds?
•
Do you exercise daily?
•
How much do you weigh, in pounds?
•
How many servings of fruits do you eat every day?
17
To compare the teaching methodologies of two of its eighth-grade math teachers, a school decides to compare student test scores from the two classes throughout the year.
Which type of statistical study is the school conducting?
•
Prospective observational study
•
Retrospective observational study
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Matched-pair design study
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Meta-analysis
18
A researcher has a table of data with 5 column variables and 5 row variables.
The value for the degrees of freedom in order to calculate the statistic is __________.
•
24
•
16
•
4
•
25
19
A scientist is comparing parts of the body. The tibia length is plotted against the body length as shown below.
Using the best-fit line, approximately how long would the tibia bone be if the body length is 62 inches?
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14 inches
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13 inches
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11 inches
•
12 inches
20
Sukie interviewed 125 employees at her company and discovered that 21 of them planned to take an extended vacation next year. She finds that the proportion of people taking extended vacations nationally is 15%.
The z statistic for this data is __________.
•
0.56
•
0.45
•
-0.56
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-0.45
21
Select the statement that accurately describes unimodal distribution.
•
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.
•
A distribution in which numerous values are more frequent than other values.
22
Scientists want to test a new pair of running shoes. A speed test is performed with two separate groups of participants. The treatment group will wear the new pair of running shoes, while the control group will not. It is believed that age and height may affect speed.
Which of the following would be most effective in controlling the confounding variables, such as age and height, in this study?
•
A longitudinal observational study
•
A completely randomized design experiment
•
A matched-pair design experiment
•
A retrospective observational study
23
Which of the following scatterplots shows a correlation affected by an influential point?
•
•
•
•
RATIONALE
An influential point will influence correlation that doesn't lie in the range of the other data. This graphs shows an outlier that is above the other data and lower in the x-direction.
24
The first quartile (Q1) value from the above box plot is __________.
•
40
•
54
•
65
•
47
25
Which of the following is an example of a false positive?
•
A medical test coming back positive for a disease you do have.
•
Sending a guilty man to jail.
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Sending an innocent man to jail.
•
A medical test coming back negative for a disease you don't have.