1. AP/H Statistics
Mrs. LeBlanc – Perrone Name: ______________________________
8.2: Critical RegionGuided Notes Date: ___________
8.2 Testing the Mean (Critical Region Method)
P-Values VS Critical Regions
1. There is another method of statistical testing called ____________________________________
______________________________________________________________________________
O we will only use the critical region ____________________________________________
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The Critical Region Method
1. ______________________________________________________________________________
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O The location _____________________________________________________________
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O The total area ____________________________________________________________
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NOTE: ____________________________________________________________
o The critical value(s) ________________________________________________________
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2. AP/H Statistics
Mrs. LeBlanc – Perrone
How to Test When is Known Critical Region Method
1. ______________________________________________________________________________
o ________________________________________________________________________
o ________________________________________________________________________
o ________________________________________________________________________
________________________________________________________________________
o ________________________________________________________________________
2. ______________________________________________________________________________
______________________________________________________________________________
3. ______________________________________________________________________________
______________________________________________________________________________
o
4. ______________________________________________________________________________
______________________________________________________________________________
o ________________________________________________________________________
5. ______________________________________________________________________________
o ________________________________________________________________________
o ________________________________________________________________________
6. ______________________________________________________________________________
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3. AP/H Statistics
Mrs. LeBlanc – Perrone
EXAMPLE 5: Critical Region Method of Testing
Consider Example 3 regarding sunspots. Let x be a
random variable representing the number of sunspots observed in a four-week period. A random
sample of 40 such periods from Spanish colonial times gave the number of sunspots per period. The
raw data are given in Example 3. The sample mean is 47.0. Previous studies indicate that for this
period, = 35. It is thought that for thousands of years, the mean number of sunspots per four-week
period was about = 41. Do the data indicate that the mean sunspot activity during the Spanish
colonial period was higher than 41? Use = 0.05.
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