211+HW1-Cl2+Ex - 211 HW1-CL2 Ex.xls CLASS 2 EXAMPLE: Issue:...

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211 HW1-CL2 Ex.xls CLASS 2 EXAMPLE: FIRST DSC 211 TOPIC: TESTING CLAIM ABOUT A POPULATION See Class Notes 1-2. What symbol do we use for this property? Sample Results: Issue: Income level of our current customers 74.52 BusQues: 93.96 x-bar = 84.2 $1,000 Data: 94.09 s = 11.18 $1,000 Analysis: Hypothesis Testing -- 6 Steps (Is the sample clearly INCONSISTENT with Ho being true?) 81.24 1. Hypotheses: Ho: mu <= 80 93.17 Ha: mu > 80 86.12 93.59 2. Test Statistic: (1) We will calculate/examine: x-bar 96.70 (2) If Ho true (mu=80), the sampling distribution of x-bar is: 84.23 Normal (mean = 80, std error = sigma/n^.5 = 10/36^.5 65.72 SEE GRAPH BELOW 84.18 3. Signif Level: alpha = 0.05 -- chance of error in rejecting Ho we'll accept 69.75 83.99 4. Reject (Ho) Rule: Reject Ho if x-bar > 82.7 =NORMINV(.95,80,10/36^.5) 64.61 107.54 5. Calculations: Test Stat: x-bar = 84.2 ($1000) 74.97 p-value = Prob(this value of Test Stat or more extreme/Ho true): 89.05 0.006 =1-NORMDIST(84.2,80,10/6,TRUE) 80.53 94.55 6. Conclusion: Reject Ho 68.08 81.48 Answer: 72.80 Based on this sample of 36, we have evidence to conclude that mu is greater than $80.000 78.89 75.59 76.33 88.45 If Ho is true, then the sampling distribution of x-bar is NORMAL with 80.63 mean = 80 94.97 stdev = 1.67 100.18 x-bar prob fctn 84.50 value (x) f(x)
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This note was uploaded on 07/17/2011 for the course STATS 211 taught by Professor Dunne during the Spring '07 term at University of Dayton.

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211+HW1-Cl2+Ex - 211 HW1-CL2 Ex.xls CLASS 2 EXAMPLE: Issue:...

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