The Practically Cheating Statistics Handbook ti-83 Companion Guide


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Normally Distributed Probability


Sample problem: A group of students taking end of semester statistics
exams at a certain college have a mean score of 75 and a standard deviation
of 5 points. What is the probability that a given student will score between
90 and 100 points?
Step 1: Press to get normalcdf.
Step 2: Enter for the lower bound, followed by . Then enter for the
upper bound, followed by .
Step 3: Press (for the mean), followed by and then (for the standard
deviation).
Step 4: Close the argument list with a . Your display should now read
normalcdf(90, 100, 75, 5). Now press . The calculator returns the
probability, which in this case is 0.00135, or .135% (rounded to two
decimal places).



The TI-83 normalPDF function, accessible from the DISTR menu will
calculate the normal probability density function, given the mean (μ) and
standard deviation (σ).¶
Sample Problem: Graph a bell curve with a mean of 100 and standard
deviation of 15.
Step 1: Press .
Step 2: Press to get normalPDF.
Step 3: Press .
Step 4: Press .
Step 5: Change the window values to the
following:¶Xmin=0¶Xmax=150¶Xscl=1¶Ymin=0¶Ymax=.05
Step 6: Press to see your graph.


Z Scores
Find a Critical Value


A critical value in hypothesis testing separates the region where the
hypothesis will be rejected from the region where the hypothesis will not be
rejected. With a little arithmetic, you can look up a critical value in a z-
table, or you can use the InvNorm function on the TI-83 graphing
calculator.
Sample problem: An end of semester exam is normally distributed with a
mean of 85 and a standard deviation of 10. Find the z score at the 90th
percentile.

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