18 Questions
What is the value of the standard deviation of the data variable 'abssim'?
7.610036
Which curve is well known for approximating many natural phenomena and can model data resulting from combining a large number of independent variables?
The Normal Curve
What are the two parameters of the Normal probability density function (pdf)?
Population mean and population SD
What does the cumulative distribution function (CDF) represent in the context of the Normal curve?
Area under the curve up to a point
If we draw a smooth curve as an approximation of the histogram based on the data provided, what would be a key characteristic of this curve?
It follows a Normal distribution
What does the length(data$abssim[data$abssim > 189])/length(data$abssim) ratio indicate?
Percentage of values above 189 in 'abssim'
Based on the code provided, what is the mean height of the students?
163.6204
What does the standard deviation value of 7.657661 represent?
Measure of the spread of student heights
In the context provided, what proportion of women fall in the height category 160-165?
0.286
What is the purpose of simulating data using proportions in a table?
To represent real-world data
In the given code snippet for plotting a histogram, what does 'geom_histogram' do?
Plots a bar chart
How many women in the simulated data could fall under the height category of 175-180?
0.029
What does the area under a histogram represent up to a point x?
The chance of getting data up to that point
When a variable X is Normally distributed with mean μ and standard deviation σ, how is it denoted?
X ~ N(μ, σ)
What does the '68%-95%-99.7% Rule' state about Normal curves?
All of the above
In Normal distribution, what are standard units (z-scores)?
How many standard deviations a point is from the mean
For a model X ~ N(161.9, 7.62), what does 161.9 represent?
Mean
If a variable follows the distribution of a Normal curve, what can be used as an approximation to the area under a histogram?
$P(X > x)$
This quiz discusses how to describe the shape of a histogram using a smooth curve as an approximation. It includes calculating mean, standard deviation, and proportion of data above a certain value before plotting the curve.
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