19 Lecture 5 - Sampling Distribution

19 Lecture 5 - Sampling Distribution - Lecture5:...

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Lecture 5: Sampling Distribution and  Midterm Review
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2 Agenda 1. Announcements 2. Practice with the Normal distribution 3. The Sampling distribution for means 4. The Sampling distribution for  proportions 5. More practice & review
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3 Your STATS MIDTERM! Sunday, October 21, 2007 1:00-3:30 PM Room info TBA on CMD If you cannot write that day, get in touch Make sure to prepare well!
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4 Announcements Extended office hours this week: Wednesday: 4 - 6.30 pm Assignment 3 due at the midterm! Already posted on CMD
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5 (a) Find the probability that a randomly selected Canadian teenager plays sports for more than 5 hours per day (2 marks out of 100) (b) Find the probability that if four Canadian teenagers are randomly selected, their average number of hours spent playing sports is more than 5 hours per day. (2 marks) (c) Find the probability that if four Canadian teenagers are randomly selected, all four play sports for more than 5 hours per day. (2 marks) Spotlight on Midterm ‘04 The amount of time spent by Canadian  teenagers playing sports per day is normally  distributed with a mean of 4 hours and  standard deviation of 1.25 hours.
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6 How to answer part b? So far we have been talking about the  distribution of individual values  E.g. amount of time  individual  teenagers  play sports We could answer P(X>5) = ?
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7 How to answer part b? (cont’d) How can we make a probability  statement about the  average number  of hours played by a group of  teenagers? P(  >5) = ? We need to know something about how  these    ‘s themselves will be distributed X X
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Sampling Distribution for Mean Slides 79-101 in the Lecture 4  notes, with changes.
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9 What we will learn Before we had one population of  Canadian teenagers Now imagine a  second population this time of the  means of all samples  of size n  taken from the original  population We will learn that  this second  population is also normally  distributed
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10 Sampling distribution
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19 Lecture 5 - Sampling Distribution - Lecture5:...

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