Aron chpt 6 ed revised

Determining the Characteristics of a Distribution of Means ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Copyright © 2011 by Pearson Education, Inc. All rights reserved

die 1 die 2 Ave. die 1 die 2 Ave. die 1 die 2 Ave. 1 1 1 1 13 3 1 2 25 5 1 3 2 1 2 1.5 14 3 2 2.5 26 5 2 3.5 3 1 3 2 15 3 3 3 27 5 3 4 4 1 4 2.5 16 3 4 3.5 28 5 4 4.5 5 1 5 3 17 3 5 4 29 5 5 5 6 1 6 3.5 18 3 6 4.5 30 5 6 5.5 7 2 1 1.5 19 4 1 2.5 31 6 1 3.5 8 2 2 2 20 4 2 3 32 6 2 4 9 2 3 2.5 21 4 3 3.5 33 6 3 4.5 10 2 4 3 22 4 4 4 34 6 4 5 11 2 5 3.5 23 4 5 4.5 35 6 5 5.5 12 2 6 4 24 4 6 5 36 6 6 6

20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 36 samples mean f 1 1 1.5 2 2 3 2.5 4 3 5 3.5 6 4 5 4.5 4 5 3 5.5 2 6 1

20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 72 samples mean f 1 2 1.5 4 2 6 2.5 8 3 10 3.5 12 4 10 4.5 8 5 6 5.5 4 6 2

20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 108 samples mean f 1 3 1.5 6 2 9 2.5 12 3 15 3.5 18 4 15 4.5 12 5 9 5.5 6 6 3

48 47 46 45 44 43 42 41 40 39 38 37 36 35 34 33 32 31 30 29 28 27 26 25 24 23 22 21 20 19 18 17 16 15 14 13 12 11 10 9 8 7 6 5 4 3 2 1 1 1.5 2 2.5 3 3.5 4 4.5 5 5.5 6 288 samples mean f 1 8 1.5 16 2 24 2.5 32 3 40 3.5 48 4 40 4.5 32 5 24 5.5 16 6 8

[object Object],[object Object],The distribution of a pop. of individuals The distribution of a sample taken from pop. The distribution of means of samples taken from pop.

Variance of a Distribution of Means ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Copyright © 2011 by Pearson Education, Inc. All rights reserved

Variance of a Distribution of Means ,[object Object],[object Object],[object Object]

The Shape of a Distribution of Means ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Copyright © 2011 by Pearson Education, Inc. All rights reserved

[object Object],[object Object]

die 1 f 1 1 1 2 2 1 3 3 1 4 4 1 5 5 1 6 6 1 6 5 4 3 2 1 1 2 3 4 5 6

Review of the Three Kinds of Distributions ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Copyright © 2011 by Pearson Education, Inc. All rights reserved

Figuring the Z Score of a Sample’s Mean on the Distribution of Means ,[object Object],[object Object],[object Object],[object Object],[object Object],Copyright © 2011 by Pearson Education, Inc. All rights reserved

Figuring the Z Score of a Sample’s Mean on the Distribution of Means ,[object Object],[object Object],[object Object]

Example of Steps for Hypothesis Testing: Step 1 ,[object Object],[object Object],[object Object],[object Object],[object Object]

Example of Steps for Hypothesis Testing: Step 2 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Example of Steps for Hypothesis Testing: Step 3 ,[object Object],[object Object],[object Object],[object Object]

Example of Steps for Hypothesis Testing: Step 4 ,[object Object],[object Object]

Example of Steps for Hypothesis Testing: Step 5 ,[object Object],Z =3.75

Example of Steps for Hypothesis Testing: Step 5 ,[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object]

[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Example of Steps for Hypothesis Testing: Step 2 ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Example of Steps for Hypothesis Testing: Step 5 ,[object Object]

Example of Steps for Hypothesis Testing: Step 5 ,[object Object],[object Object],[object Object],[object Object]

Range of Possible Means Likely to Include the Population Mean ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Copyright © 2011 by Pearson Education, Inc. All rights reserved

Figuring the 95% and 99% Confidence Intervals ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],Copyright © 2011 by Pearson Education, Inc. All rights reserved

Example of Figuring the 99% Confidence Interval ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Example of Figuring the 95% Confidence Interval ,[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object],[object Object]

Aron chpt 6 ed revised

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Aron chpt 6 ed revised