This chart shows the number of students of different age groups who participated in a quiz.
Which of the following statements about the stack plot is true?
There were more male students in the age group 19-21 t
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This chart shows the number of students of different age groups who participated in a quiz.
Which of the following statements about the stack plot is true?
There were more male students in the age group 19-21 than in the age group 15-17.
There were more male students than female students in the age group 19-21.
There were more female students in the age group 17-19 than in any other age group.
There were more students in the age group 15-17 than in any other age group.
RATIONALE
If we note that the greatest area for the girls is the longest darker region, this occurs in the age group 17-19.
CONCEPT
Stack Plots
I need help with this question 2
Jay wants to study nutrition and performance in schools using available data.
Which of the scenarios below will provide Jay with available data?
Going to a local high school and asking the principal for information about students' previous grades, then interviewing a random selection of students about their eating habits.
Going to a local high school and asking the principal for information about students' current and previous grades, then interviewing a random selection of students about their eating habits.
Going to a local high school and asking the principal for information about students' current and previous grades, then asking the health teacher for the results from a survey students took in health class.
Going to a local college and asking current undergraduates to report their grades and eating habits from high school.
RATIONALE
Recall, for data to be considered available data it must already be collected. Since the grades data and survey data were already collected these are examples of available data.
CONCEPT
Data
I need help with this question 3
Regan wants to study how reading on a computer affects comprehension among elementary school students. Regan thinks that girls and boys might differ and he also suspects that grade level will affect the results. He decides to create a male and a female group for each grade. Within each group, he randomly assigns half of the students to read an article on paper and half of the students to read the article on a computer.
Which type of experimental design does this situation illustrate?
Completely Randomized
Randomized Block
Double-Blind
Matched-Pair
RATIONALE
Since students are put into gender and grade blocks and are then assigned treatment or control randomly this is called a randomized block design.
CONCEPT
Randomized Block Design
I need help with this question 4
Select the correct statement regarding experiments.
A researcher can control the environment and observe the response.
A researcher cannot control the environment but can observe the response.
A researcher can control the environment but cannot observe the response.
A researcher can neither control the environment nor observe the response.
RATIONALE
The defining part of experimental setting is that the researcher can control the setting and apply some treatment to observe how it affects an outcome of interest.
CONCEPT
Observational Studies and Experiments I need help with this question
5
Rachel measured the lengths of a random sample of 100 screws. The mean length was 2.9 inches, and the population standard deviation is 0.1 inch.
To see if the batch of screws has a significantly different mean length from 3 inches, what would the value of the z-test statistic be?
1
10
-10
-1
RATIONALE
If we first note the denominator of
Then, getting the z-score we can note it is
This tells us that 2.9 is 10 standard deviations below the value of 3, which is extremely far away.
CONCEPT
Z-Test for Population Means I need help with this question 6
Jesse takes two data points from the weight and feed cost data set to calculate a slope, or average rate of change. A ferret weighs 2.1 pounds and costs $3.40 per week to feed, while a Labrador Retriever weighs 70 pounds and costs $7.50 per week to feed.
Using weight as the explanatory variable, what is the slope of the line between these two points? Answer choices are rounded to the nearest hundredth.
$1.62 / lb.
$1.73 / lb.
$16.56 / lb.
$.06 / lb.
RATIONALE
In order to get slope, we can use the formula:
s l o p e equals fraction numerator y 2 minus y 1 over denominator x 2 minus x 1 end fraction.
Using the information provided, the two points are: (2.1 lb., $3.40) and (70 lb., $7.50). We can note that:
CONCEPT
Linear Equation Algebra Review I need help with this question
7
Eric is randomly drawing cards from a deck of 52. He first draws a red card, places it back in the deck, shuffles the deck, and then draws another card.
What is the probability of drawing a red card, placing it back in the deck, and drawing another red card? Answer choices are in the form of a percentage, rounded to the nearest whole number.
25%
22%
13%
4%
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