(STAGE 1) You think drinking tea affects the amount of time you sleep. You test this on one person. You know from your research that the average person sleeps 6.7 hours each day and the SD is 1.5. These are population parameters (untreated). People drink tea on average .5 times each day. You ask your one person to drink tea 4 times a day for a week. At the end, you measure how long the individual sleeps and its for 8 hours.

(DO NOT INCLUDE THE ONE PARTICIPANT FROM ABOVE PARAGRAPH WHEN ANSWERING THE BELOW QUESTIONS)

After testing the one person, you decide to test more. You gather 5 people in your sample. They just finished drinking tea five times a day for a week, they slept for the following amount of hours (NEW SAMPLE): 7,7,5,9,8,

• Independent Var? Dependent Var?
• mean of sample?
• # of people:
• standard error of the mean (use population parameter from Phase 1)
• Z score (3 decimal places):
• p value (3 decimal places):
• What is the 95% CI (use sample from second stage). Upper Boundary? Lower Boundary?
• Using probability notation, tell me the power that detects an effect if it is actually there?
• Do you consider this an adequate power?