8.2 critical region guided notes

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  • 1. AP/H StatisticsMrs. 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 ____________________________________________ ________________________________________________________________________ The Critical Region Method 1. ______________________________________________________________________________ ______________________________________________________________________________ O The location _____________________________________________________________ ________________________________________________________________________ O The total area ____________________________________________________________ ________________________________________________________________________ NOTE: ____________________________________________________________ o The critical value(s) ________________________________________________________ ________________________________________________________________________ 1
  • 2. AP/H StatisticsMrs. 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. ______________________________________________________________________________ 2
  • 3. AP/H StatisticsMrs. 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. 3
  • 4. AP/H StatisticsMrs. LeBlanc – PerroneSummary Questions 1. Open Summary (5 – 8 sentences) ____________________________________________________________________________________ ____________________________________________________________________________________ ____________________________________________________________________________________ ____________________________________________________________________________________ ____________________________________________________________________________________ ____________________________________________________________________________________ ____________________________________________________________________________________ ____________________________________________________________________________________ ____________________________________________________________________________________ ____________________________________________________________________________________ ____________________________________________________________________________________ ____________________________________________________________________________________ ____________________________________________________________________________________“HOT” Question:____________________________________________________________________________________________________________________________________________________________________________________ 4