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Stat 217 – Day 8

Stat 217 – Day 8. Central Limit Theorem, cont. Last Time – Quantitative Data. Numerical summaries center: mean vs. median spread: standard deviation, interquartile range BPS 1.47 – Which is the mean? BPS 1.49 – Standard deviation game. mean. sd. sd. Last Time – Normal Distribution.

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Stat 217 – Day 8

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  1. Stat 217 – Day 8 Central Limit Theorem, cont.

  2. Last Time – Quantitative Data • Numerical summaries • center: mean vs. median • spread: standard deviation, interquartile range • BPS 1.47 – Which is the mean? • BPS 1.49 – Standard deviation game

  3. mean sd sd Last Time – Normal Distribution • Symmetric, bell-shaped curve with mean m and standard deviation s applet

  4. Last Time – Normal Probability z = 3.5-3.7 = 1.00 .2 Table A: prob below = .1587 About 16% of days the potassium level will read less than 3.5 meg/l

  5. Next • Apply these ideas to the Central Limit Theorem If n is large (np>10 and n(1-p)>10) then the distribution of sample proportions will be normal with mean p and standard deviation

  6. Last Time – Normal Probability Fisher: z = 90-75 = 2.14 7 Table A: 1- .9838 =.0162 About 1-2% of students receive score above 90

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