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Lesson 1: (On Campus) Course Intro &
Probability
Show Outcomes
By the end of this lesson, you should be able to:
- Understand and explain the course policies
- Access course resources (course outline, lesson schedule,
preparation activities, reading quizzes, homework assignments,
assessments, Zoom, etc.)
- Communicate with your instructor
- Obtain access to a spreadsheet program (Microsoft Excel)
- Discuss ways in which you will apply gospel principles to your work
in this class
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Lesson 1: (Online) Course Intro &
Probability
Show Outcomes
By the end of this lesson, you should be able to:
- Understand and explain the course policies
- Access course resources (course outline, lesson schedule,
preparation activities, reading quizzes, homework assignments,
assessments, Zoom, etc.)
- Communicate with your instructor
- Obtain access to a spreadsheet program (Microsoft Excel)
- Discuss ways in which you will apply gospel principles to your work
in this class
- State and apply the three rules of probability.
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Lesson 1: (World Wide Block) Course Intro
& Probability
Show Outcomes
By the end of this lesson, you should be able to:
- Understand and explain the course policies
- Access course resources (course outline, lesson schedule,
preparation activities, reading quizzes, homework assignments,
assessments, Zoom, etc.)
- Communicate with your instructor
- Obtain access to a spreadsheet program (Microsoft Excel)
- Discuss ways in which you will apply gospel principles to your work
in this class
- State and apply the three rules of probability.
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Lesson 2: The Statistical Process & Design
of Studies Show Outcomes
By the end of this lesson, you should be able to:
- State the five steps of the Statistical Process
- Distinguish between an observational study and an experiment.
- Distinguish between a population and a sample.
- Distinguish between a categorical and a quantitative variable.
- Distinguish and give an example of each of the following sampling
schemes:
- Simple random sampling
- Systematic sampling
- Cluster sampling
- Stratified sampling
- Convenience sampling
- Explain the significance of using a random sample.
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Lesson 3: Describing Quantitative Data (Shape
& Center)
Show Outcomes
By the end of this lesson, you should be able to:
- Determine the shape of a distribution using a histogram.
- Interpret the mean, median, and mode for quantitative data.
- Apply the Excel functions AVERAGE, MEDIAN, and MODE when working
with quantitative data in Excel.
- Determine the location of the mean relative to the median of
left-skewed, right-skewed, or bell-shaped distributions visually using a
histogram.
- Interpret a histogram.
- Distinguish between a parameter and a statistic.
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Lesson 4: Describing Quantitative Data
(Spread) Show Outcomes
By the end of this lesson, you should be able to:
- Approximate the standard deviation of a distribution visually from a
bell-shaped histogram.
- Calculate the standard deviation from quantitative data using
Excel.
- Interpret the standard deviation for symmetric distributions.
- Properly apply the Excel functions STDEV.S, PERCENTILE.INC,
QUARTILE.INC, MIN, and MAX to quantitative data.
- Interpret the five-number summary for quantitative data.
- Create a box-plot from quantitative data using Excel.
- Determine the five-number summary visually from a box plot. *
Explain the relationship between probabilities, percentiles, and
percentages.
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Lesson 5: Normal Distributions
Show Outcomes
By the end of this lesson, you should be able to:
- State the properties of a normal density curve.
- Calculate the z-score of an individual observation, given the mean
and standard deviation.
- Interpret a z-score.
- Calculate probability as area under a normal density curve.
- Calculate a percentile using the normal distribution.
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Lesson 6: Distribution of Sample Means & The
Central Limit Theorem
Show Outcomes
By the end of this lesson, you should be able to:
- Explain how a sampling distribution is created.
- Determine the mean, standard deviation and shape of a distribution
of sample means.
- State and apply the Central Limit Theorem and the Law of Large
Numbers.
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Lesson 7: Calculating Probabilities involving
the Sample Mean
Show Outcomes
By the end of this lesson, you should be able to:
- Calculate probabilities using a distribution of sample means.
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Lesson 8: Review for Exam 1
Show Outcomes
Unit 1 Review. The expectation on the Unit 1 Exam is that you should
be able to do the following:
Distinguish between a categorical and a quantitative
variable. Distinguish between an observational study and an
experiment. Distinguish between a population and a sample. Distinguish between a parameter and a statistic. Distinguish and give an example of each of the following sampling
schemes:
- Simple random sampling
- Systematic sampling
- Cluster sampling
- Stratified sampling
- Convenience sampling
Explain the significance of using a random sample. Determine the shape of a distribution using a histogram and/or
boxplot. Determine the centers of a given histogram and/or
boxplot. Identify the mean, median and standard deviation in skewed or
normal histograms. Calculate the mean, median and standard deviation from
quantitative data. Calculate a percentile from a quantitative data set. Calculate a five-number summary from quantitative data with
Excel, or by hand. Create a histogram and a boxplot from quantitative data. State and apply the three axioms of probability. State the properties of a normal density curve. Calculate the z-score of an individual observation, given the
mean and standard deviation. Interpret a z-score. Calculate probability as area under a normal density
curve. Assess normality using a histogram. Explain how a sampling distribution is created. Determine the mean, standard deviation, and shape of a
distribution of sample means. State and apply the Central Limit Theorem and the Law of Large
numbers. Calculate probabilities using a distribution of sample
means.
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