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Practice. 8.17. 8.17. 110 or greater Z = 105-100/3 = 1.67 p = .0475 90 or less Z = 90-100/3 = -3.33 p = .0004. Practice. For an SAT test  = 500  = 100 What is the probability that a sample of 65 people will have a mean SAT score below 525?. Step 1: Sketch out question.

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Practice

Practice

  • 8.17


Practice

8.17

  • 110 or greater

  • Z = 105-100/3 = 1.67

    p = .0475

  • 90 or less

  • Z = 90-100/3 = -3.33

    p = .0004


Practice1

Practice

  • For an SAT test

  •  = 500

  •  = 100

  • What is the probability that a sample of 65 people will have a mean SAT score below 525?


Step 1 sketch out question

Step 1: Sketch out question

-3 -2 -1 012 3


Step 2 calculate the standard error

Step 2: Calculate the Standard Error

100 / 65 = 12.40

-3 -2 -1 012 3


Step 3 calculate the z score

Step 3: Calculate the Z score

(525 - 500) / 12.40 = 2.02

-3 -2 -1 012 3


Step 4 look up z score in table

Step 4: Look up Z score in Table

Z = 2.02; Column B =.4783

.50

.4783

-3 -2 -1 012 3


Practice2

Practice

  • There is a .9783 probability that a sample of 65 people would have a mean SAT under 525


Practice3

Practice

  • In a large corporation, the mean salary for all males with 3 to 5 years of experience was $28,000. Salaries (expressed in thousands) for a random sample of 10 women also having 3 to 5 years of experience were:

  • 24, 27, 31, 21, 19, 26, 30, 22, 15, 36

  • Construct the 95% confidence interval for women and interpret what this means relative to the mean salary of males.


Practice4

Practice

  • M = 25.1

  • SE = 1.97

  • t(9) = 2.262

  • 20.64 to 29.56

  • 20,640 to 29,560


Practice5

Practice

8.30


Practice6

Practice

  • SE = 1.0

  • t = 2.064

  • T1 = 5.936 to 10.064

  • T2 = 3.936 to 8.064

  • T3 = 11.936 to 16.064

  • T4 = 13.936 to 18.064


Practice7

Practice

8.23


Practice8

Practice

  • M= 27

  • S hat = 3.803

  • SE = 1.016

  • t (13)= 2.160

  • LL = 24.8

  • UL = 29.2

  • The workshop is working. We are 95% confident the average score of everyone who takes the workshop would be above 24 (the norm of the test)


Practice9

Practice

  • 8.12

  • 8.13


Practice

As N (sample size) increases the standard error decreases!


Practice handout

Practice Handout


Cookbook

Cookbook

  • Bring your cookbook to class on Friday!


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