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firasm committed Aug 24, 2024
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Expand Up @@ -63,16 +63,16 @@ myst:
table0:
r2:
c2: 15
c3: 31
c4: 46
c3: 35
c4: 50
r3:
c2: 6
c3: 39
c4: 45
c3: 43
c4: 49
r4:
c2: 21
c3: 70
c4: 91
c3: 78
c4: 99
part1:
num1: 24.0
part3:
Expand All @@ -90,12 +90,12 @@ myst:
part4:
num1: 24.0
description:
num1: 91
num2: 46
num3: 45
num1: 99
num2: 50
num3: 49
num4: 24.0
part1_ans_before_convert: 0.326
part2_ans_before_convert: 0.133
part1_ans_before_convert: 0.3
part2_ans_before_convert: 0.122
---
# {{ params.vars.title }}
A migraine is a particularly painful type of headache, which patients sometimes wish to treat with acupuncture. To determine whether acupuncture relieves migraine pain, researchers conducted a randomized controlled study where ${{ params.description.num1 }}$ females diagnosed with migraine headaches were randomly assigned to one of two groups: treatment or control. ${{ params.description.num2 }}$ patients in the treatment group received acupuncture that is specifically designed to treat migraines. ${{ params.description.num3 }}$ patients in the control group received placebo acupuncture (needle insertion at non-acupoint locations). ${{ params.description.num4 }}$ hours after patients received acupuncture, they were asked if they were pain free. Results are summarized in the contingency table below.
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Expand Up @@ -35,10 +35,10 @@ myst:
vars:
title: Relaxing after work
part3:
num1: 1.99
num1: 2.01
description:
num1: 1497
num2: 1.99
num1: 1272
num2: 2.01
part1:
option1:
value: Observation
Expand All @@ -59,7 +59,7 @@ myst:
value: Number of hours spent relaxing after an average work day.
matches: option2
statement3:
value: 1.99
value: 2.01
matches: option3
statement4:
value: Average number of hours all Americans spend relaxing after an average
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Expand Up @@ -36,20 +36,22 @@ myst:
title: Parameters and statistics
part1:
option1:
value: 2001
value: 2007
option2:
value: 288
value: 2008
option3:
value: 10
value: 1500
statement1:
value: Claimed population mean
matches: '3.61'
matches: '50'
statement2:
value: Sample mean
matches: '3.71'
question1: The average GPA of students in 2001 at a private university was 3.61.
A survey on a sample of 288 students from this university yielded an average
GPA of 3.71 a decade later.
matches: '56'
question1: American households spent an average of about $50 in 2007 on Halloween
merchandise such as costumes, decorations and candy. To see if this number
had changed, researchers conducted a new survey in 2008 before industry numbers
were reported. The survey included 1500 households and found that average
Halloween spending was $56 per household.
---
# {{ params.vars.title }}
Identify which value represents the sample mean and which value represents the claimed population mean.
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Expand Up @@ -34,7 +34,7 @@ myst:
title: San Jose Park Use
every: 7
part1:
measurement: Duration (amount of time)
measurement: Age
ans1:
value: qualitative
feedback: Try again please!
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Expand Up @@ -40,10 +40,10 @@ myst:
params:
vars:
title: Babies on Airplanes
flights: seven
flights: six
part1:
ans1:
value: The survey was conducted using seven similar flights.
value: The survey was conducted using six similar flights.
feedback: Correct!
ans2:
value: The survey would not be a true representation of the entire population
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Expand Up @@ -41,36 +41,33 @@ myst:
params:
vars:
title: Distributions and Appropriate Statistics
animal: rabbit
place: work
animal: cat
place: the nearest bank
thing: electronics
Question: a) Would you expect the number of electronics per household to be
symmetric, right skewed, or left skewed?
Question: a) Would you expect the heights of adult male cats to be symmetric,
right skewed, or left skewed?
part1:
ans1:
value: 'Right skewed: The distribution of number of electronicss per household
is likely right skewed as there is a natural boundary at 0 and only a
few people have many electronicss.'
feedback: Correct, awesome work
value: The distribution of heights of adult male cats is likely right skewed
feedback: Not quite, as a hint consider how many tall people there are to
how many short people there are and are the majority of people of average
height?
ans2:
value: 'Left skewed: The distribution of number of rabbits per household
is likely left skewed as there is a natural boundary at 0 and only a few
people have many rabbits.'
feedback: Not quite, the reasoning here is mostly correct, think over what
it means for a graph to be left skewed
value: The distribution of heights of adult male cats is likely left skewed
feedback: Not quite, as a hint consider how many tall people there are to
how many short people there are and are the majority of people of average
height?
ans3:
value: 'Symmetric skewed: The distribution of number of rabbits per household
is likely symmetric as there is a natural boundary at 0 and only a few
people have many rabbits.'
feedback: Not quite, the reasoning here is mostly correct, think over what
it means for a graph to be symmetric
value: The distribution of heights of adult male cats is likely symmetric
feedback: Correct, awesome work
part2:
ans1:
value: The mean
feedback: Not quite, consider the answer to part a)
feedback: Awesome work
ans2:
value: The median
feedback: Awesome work
feedback: Not quite, consider the answer to part a), note that the data
is not heavily skewed
ans3:
value: There is not enough information to tell
feedback: There is enough information this time, consider the answer to
Expand All @@ -81,10 +78,10 @@ myst:
part3:
ans1:
value: Standard Deviation
feedback: Not quite, consider the answer to part b)
feedback: Awesome Work
ans2:
value: IQR
feedback: Awesome work
feedback: Not quite, consider the answer to b)
ans3:
value: There is not enough information to tell
feedback: There is enough information this time, consider the answer to
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Expand Up @@ -49,46 +49,47 @@ myst:
value: The Standard Deviation is about 5 min
feedback: Correct, good job
ans3:
value: The distribution has a median of about 18 min
feedback: Remember a median is the observation in the middle
value: The distribution is Left Skewed
feedback: What does it mean for a graph to be Left Skewed?
ans4:
value: The distribution is trimodal
feedback: Not quite, what does tri mean
ans5:
value: The Standard deviation is about 1 min
feedback: Sorry, this is not a very good estimate of the standard deviation
try again
ans5:
value: The distribution is trimodal
feedback: Not quite, what does tri mean
ans6:
value: The distribution has a median of about 30 min
feedback: Remember a median is the observation in the middle
value: The distribution is Bimodal
feedback: Not quite, what does bi mean in math (look up the definition if
it is unfamiliar)
part2:
ans1:
value: Since the distribution is already unimodal and symmetric, a log transformation
is not necessary
feedback: Correct, good job
ans2:
value: Since the distribution is already bimodal and right skewed, a log
value: Since the distribution is already bimodal and left skewed, a log
transformation is not necessary
feedback: What does it mean if a graph is right skewed, bimodal, and when
feedback: What does it mean if a graph is left skewed, bimodal, and when
should you do a log transformation?
ans3:
value: Since the distribution is trimodal and left skewed, a log transformation
value: Since the distribution is bimodal and left skewed, a log transformation
would be beneficial to reduce the skewing of the data
feedback: What does it mean if a graph is left skewed or trimodal?
feedback: What does it mean if a graph is left skewed or bimodal?
ans4:
value: Since the distribution is already trimodal and right skewed, a log
value: Since the distribution is already bimodal and right skewed, a log
transformation is not necessary
feedback: What does it mean if a graph is right skewed, trimodal, and when
feedback: What does it mean if a graph is right skewed, bimodal, and when
should you do a log transformation?
ans5:
value: Since the distribution is already bimodal and left skewed, a log
value: Since the distribution is already trimodal and left skewed, a log
transformation is not necessary
feedback: What does it mean if a graph is left skewed, bimodal, and when
feedback: What does it mean if a graph is left skewed, trimodal, and when
should you do a log transformation?
ans6:
value: Since the distribution is already trimodal and left skewed, a log
value: Since the distribution is already trimodal and right skewed, a log
transformation is not necessary
feedback: What does it mean if a graph is left skewed, trimodal, and when
feedback: What does it mean if a graph is right skewed, trimodal, and when
should you do a log transformation?
---
# {{ params.vars.title }}
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Expand Up @@ -38,44 +38,44 @@ myst:
params:
vars:
title: Antibiotic use in children
question: What features are apparent in the bar graph but not in the pie chart?
question: What features are apparent in the pie chart but not in the bar graph?
part1:
ans1:
value: ' We see the order of the categories'
value: There is nothing visible in the bar graph that is not in the pie
chart
feedback: Correct good job
ans2:
value: We can see the relative frequencies in the bar graph
feedback: Correct good job
value: The pie chart shows what the highest relative frequency is
feedback: This is also visible in the bar graph
ans3:
value: There is nothing visible in the bar graph that is not in the pie
chart
feedback: Nice try, have another look
value: The pie chart shows what the lowest relative frequency is
feedback: This is also visible in the bar graph
ans4:
value: The bar graph shows what the lowest relative frequency is
feedback: This is also visible in the pie chart
value: We see the order of the categories
feedback: this is not easily apparent in the pie chart
ans5:
value: The bar graph is much more visually appealing than the pie chart
feedback: this is not objective
value: The pie chart is much more visually appealing than the bar graph
feedback: This is not objective
part2:
ans1:
value: A bar graph is usually a better choice as we can also see the relative
frequencies of the categories in this graph.
feedback: Correct good job
ans2:
value: They are both equally
feedback: Not quite consider the answer to part 1
value: A pie chart is usually a better choice as we can also see the relative
frequencies of the categories in this graph.
feedback: Not quite, consider the answer to part 1
ans3:
value: There is not enough information to tell
feedback: Not quite there is enough information, consider your answer to
part 1
ans4:
value: I have no idea
feedback: Being honest is good, but you need to find the answer, take a
look at part 1 and have a look at the axis labels on the bar chart
ans4:
value: They are both equally
feedback: Not quite consider the answer to part 1
ans5:
value: A pie chart is usually a better choice as we can also see the relative
frequencies of the categories in this graph.
feedback: Not quite, consider the answer to part 1
value: There is not enough information to tell
feedback: Not quite there is enough information, consider your answer to
part 1
---
# {{ params.vars.title }}
The bar graph and the pie chart below show a distribution of several categories that could be observed.
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Expand Up @@ -46,11 +46,11 @@ myst:
params:
vars:
title: Make up Exam
'#ofpeople': 40
'#ofpeoplem1': 39
average: 80
new: 88
sd: 8.3
'#ofpeople': 41
'#ofpeoplem1': 40
average: 72
new: 90
sd: 8.4
part1:
ans1:
value: Increase
Expand All @@ -66,8 +66,8 @@ myst:
feedback: Not quite
part3:
ans1:
value: Decrease
feedback: Correct, the new score is less than 1 standard deviation from
value: Increase
feedback: Correct, the new score is greater than 1 standard deviation from
the old mean so the standard deviation will increase
ans2:
value: Not enough information to tell
Expand All @@ -76,7 +76,7 @@ myst:
value: Stay the same
feedback: Not quiet
ans4:
value: Increase
value: Decrease
feedback: Not quite
---
# {{ params.vars.title }}
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Expand Up @@ -32,8 +32,8 @@ myst:
params:
vars:
title: TV_Watchers
ave_time: 5.28
sd: 5.35
ave_time: 4.59
sd: 3.63
part1:
ans1:
value: No, I would expect the distribution to be right skewed as the number
Expand All @@ -42,20 +42,21 @@ myst:
the mean which further suggests that the data is skewed.
feedback: Correct good job
ans2:
value: 'Yes: the standard deviation being fairly close in size to the mean
indicates that this is probably a symmetric distribution'
feedback: Not quite, try again
ans3:
value: No, there is not enough information to tell whether the distribution
is right or left skewed, but the high standard deviation in comparison
to the mean does indicate that the distribution is not likely symmetric
feedback: Not quite, but good try
ans3:
value: Not enough information to tell
feedback: nice try, but there is enough information here
ans4:
value: 'Yes: the natural boundaries at zero and 24, along with a relatively
manageable standard deviation are strong indicators that this distribution
is symmetric'
feedback: Not quite, there is not a good natural boundary at 24 as no one
would default to watching 24 hours of TV in a day
value: No, I would expect the distribution to be left skewed, there is a
natural boundary of 24 hours and very few people watch less than a certain
number of hours of TV each day; also, the standard deviation is quite
high in relation the mean which further suggests that the data is skewed.
feedback: 'Note: the default number of hours watched in a day is not 24
hours, not to mention very few people would have the time to watch lots
of TV'
---
# {{ params.vars.title }}
Students in an AP Statistics class were asked how many hours of television they watch per week (including online streaming).
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