February 2013 Lecture for Week 5 of Math 533.

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B Heard
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Go to Graph >> Probability Distribution Plot, choose the right most “View Probability”
Click Ok, then click “Shaded Area” Tab

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Now choose Both Tails, since the Ha was “not equal to”, make sure Probability value is
correct (it was alpha = 0.05)
You can “see” your rejection regions, less than -1.960 and greater than 1.96

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Go to Stat >> Basic Statistics >> 1-Sample Z
Choose “Summarized data”
Input Sample Size, Mean, Standard Deviation and Hypothesized Mean
Click Options and Make sure your Confidence Level is Correct

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You get your calculated z statistic

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5.07 would be
“way out in the
5.07 rejection region”

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Same as first one, but this time we choose Left
Tail, since the Ha was “less than”, make sure
Probability value is correct (it was alpha =
0.005

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-1.60 would NOT
be in the
rejection region
-1.60

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Go to Graph >> Probability Distribution Plot, choose the right most “View Probability”
Now Choose “t” for Distribution and input Degrees of Freedom (n-1), now go to
“Shaded Area” tab and choose Left Tail and input 0.05 for probability

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You will need to find the mean and standard
deviation of the data and follow a similar
approach as you did in number 6.

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