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Practice

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- 8.17

- 110 or greater
- Z = 105-100/3 = 1.67
p = .0475

- 90 or less
- Z = 90-100/3 = -3.33
p = .0004

- For an SAT test
- = 500
- = 100
- What is the probability that a sample of 65 people will have a mean SAT score below 525?

-3 -2 -1 012 3

100 / 65 = 12.40

-3 -2 -1 012 3

(525 - 500) / 12.40 = 2.02

-3 -2 -1 012 3

Z = 2.02; Column B =.4783

.50

.4783

-3 -2 -1 012 3

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

- 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.

- M = 25.1
- SE = 1.97
- t(9) = 2.262
- 20.64 to 29.56
- 20,640 to 29,560

8.30

- 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

8.23

- 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)

- 8.12
- 8.13

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

- Bring your cookbook to class on Friday!