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PSYC 210 (20)

Cathy Mc Farland (10)

Chapter

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**preview**shows half of the first page. to view the full**1 pages of the document.**Chapter 5 Vocabulary 1

Distribution of means โ distribution of means of samples of a given size form a population; comparison

distribution when testing hypotheses involving a single sample of more than one individual

Mean of a distribution of means (ยตM) โ the mean of a distribution of means of samples of a given size from a

population; comes out to be the same as the mean of the population of individuals (ยต); ๎ค๎ฏ๎๎ต ๎๎ค

Variance of a distribution of means (ฮด2

M) โ variance of the population divided by the # of scores in each sample

๎๎ฏ

๎ฌถ๎ต๎๎๎ฌถ

๎ฐ

Standard deviation of a distribution of means (ฮดM) โ square root of the variance of a distribution of means; also

called standard error of the mean (SEM) or standard error (SE)

๎๎ฏ๎ต๎๎ถง๎๎ฏ

๎ฌถ

Z test โ hypothesis-testing procedure in which there is a single sample and the population variance is known

1. Restate the question as a research hypothesis and a null hypothesis about the populations.

2. Determine the characteristics of the comparison distribution.

a. ๎ค๎ฏ๎๎ต ๎๎ค

b. ๎๎ฏ

๎ฌถ๎ต๎๎ฐ๎ฐฎ

๎ฏ

c. ฮดM = ๎ถฅ๎๎ฏ

๎ฌถ

d. Approximately normal if population normal or N > 30

3. Determine the cutoff sample score on the comparison distribution at which the null hypothesis should be

rejected. Use the normal curve table.

a. One-tailed cutoff at 5% ๏ ๏ฑ1.64

b. Two-tailed cutoff at 5% ๏ ๏ฑ1.96

4. Determine your sampleโs score on the comparison distribution ๎ผ ๎ต๎๎ฏ๎ฌฟ๎๎ฐ๎ฒพ

๎ฐ๎ฒพ

5. Decide whether to reject the null hypothesis. If your score #4 is more extreme than #3, reject the null.

Confidence interval (CI) โ the range of scores that is likely to include the true population mean

95% CI โ confidence interval in which there is a 95% chance that the ยต falls within this interval

99% CI โ confidence interval in which there is a 99% chance that the ยต falls within this interval

Confidence limit โ upper or lower value of a confidence interval

1. Find the standard error ๎๎ฏ๎ ๎ต๎๎ถฅ๎๎ฏ๎

๎ฌถ๎ต๎๎ถฅ๎๎ฌถ๎๎ฐ

2. Find the raw scores

a. 95% CI

i. ๎ฎ๎๎๎๎๎๎๎
๎๎
๎ ๎ต ๎๎ฏ ๎ต๏บ๎ณ๎ค๎ป๎ธ๏ป๏บ๎๎ฏ๏ป

ii. ๎ท๎๎๎๎๎๎๎
๎๎
๎ ๎ต ๎ฏ๎ต
๏บ๎ณ๎ค๎ป๎ธ๏ป๏บ๎๎ฏ๏ป

b. 99% CI

i. ๎ฎ๎๎๎๎๎๎๎
๎๎
๎ ๎ต ๎๎ฏ ๎ต๏บ๎ด๎ค๎ท๎บ๏ป๏บ๎๎ฏ๏ป

ii. ๎ท๎๎๎๎๎๎๎
๎๎
๎ ๎ต ๎ฏ๎ต
๏บ๎ด๎ค๎ท๎บ๏ป๏บ๎๎ฏ๏ป

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