Step 1 Given mean wake time of 22 subjects before treatment is 103 minutes. After treatment 22 subjects have mean wake time 79.9 minutes and standard deviation 20.3 minutes and normally distributed. The Z critical score for 90% donfidence interval is calculated with reference to below shown table. The Z score for probability value 0.9495 is 1.64 and Z score for probability value 0.9505 is 1.65. So on average the Z score of 0.95 probability is 1.645.

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when finding the Z score (90%) probability, why is it that the probility value of .9405 and .9505 is being found instead of .90 (90% confidence) 

Step 1
Given mean wake time of 22 subjects before treatment is 103 minutes.
After treatment 22 subjects have mean wake time 79.9 minutes and standard deviation 20.3 minutes and normally
distributed.
The Z critical score for 90% donfidence interval is calculated with reference to below shown table. The Z score for
probability value 0.9495 is 1.64 and Z score for probability value 0.9505 is 1.65. So on average the Z score of 0.95
probability is 1.645.
Transcribed Image Text:Step 1 Given mean wake time of 22 subjects before treatment is 103 minutes. After treatment 22 subjects have mean wake time 79.9 minutes and standard deviation 20.3 minutes and normally distributed. The Z critical score for 90% donfidence interval is calculated with reference to below shown table. The Z score for probability value 0.9495 is 1.64 and Z score for probability value 0.9505 is 1.65. So on average the Z score of 0.95 probability is 1.645.
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