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Click to edit Master title style Homework 1 due today by 5pm…

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Presentation on theme: "Click to edit Master title style Homework 1 due today by 5pm…"— Presentation transcript:

1 Click to edit Master title style Homework 1 due today by 5pm…

2 Click to edit Master title style Your First Hypothesis Test: Is the Coin Biased towards HEADS? Go to stat217.com, ‘stats link’ page. Find: Coin Flipping Hypothesis Test Read the instructions then Click the Link.

3 Click to edit Master title style Inferential Statistics: Step One If you were to run your experiment over and over again, how much variability would there be in the sample means that you get? How surprised should I be about my data if my Research Hypothesis is FALSE?

4 Click to edit Master title style Demo Program 5 Go to stat217.com, ‘stats link’ page. Click on “Download Demo Program 5”. Save the ‘zip’ file. Find it on your PC and click on it. EXTRACT THE FILES!!!! Click on “0 Click to Start Living the Lecture Part 5.exe”. Try the program. Do you understand the difference between the population mean or standard deviation and mean or standard deviation of the sampling distribution of the mean? What is the effect of changing the sample size of the experiment on these values?

5 Click to edit Master title style The Sampling Distribution of the Mean If you run your experiment over and over again, the mean of the sample means will be equal to the population mean.

6 Click to edit Master title style The Mean of the Sampling Distribution of the Mean

7 Click to edit Master title style The Standard Deviation of the Sampling Distribution of the Mean If you run your experiment over and over again, the standard deviation of the sample means will be equal to the standard deviation of the population divided by the square root of the sample size.

8 Click to edit Master title style The Standard Error of the Mean (The standard deviation of the sampling distribution of the mean) Instructor’s Note: Many problems will require you to compute (or think of) this new standard deviation. MANY students forget to divide by the square root of n.

9 Click to edit Master title style The Sampling Distribution of the Mean If you run your experiment over and over again, the distribution of the sample means will (probably) be a bell-shaped curve (the Normal Distribution).

10 Click to edit Master title style Inferential Statistics: Next Step

11 Click to edit Master title style The Normal DistributionNormalDistribution Describes a Population Is unimodal, symmetric Is “Bell-shaped” Has TWO parameters: ,  (remember this!)

12 Click to edit Master title style Normal distributions are lumps of clay (of same quantity). tall and skinny short and fat Other Important Facts: 1. They never actually touch the X-axis -- so every score is possible, from to

13 Click to edit Master title style Normal distributions are lumps of clay (of same size). tall and skinny short and fat Other Important Facts: 2. The total area underneath them is always 1.

14 Click to edit Master title style Very Important Fact About Normal Distributions The area under the curve between the mean and any other point (left or right) depends only on the number of standard deviations between these two points.

15 Click to edit Master title style Very Important Fact About Normal Distributions The number of standard deviations between the mean and any other possible score (any ‘raw’ score) is the “z score” for this other (raw) score.

16 Click to edit Master title style Web Exercise Sample Statistics are estimates of Population Statistics. Complete at least 3 problems to get credit for the exercise. Save money to compete for your country (and win “special” prizes…). Log in as a Guest to practice if you like….


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