Lecture Outline 13 (One Sample t

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Lecture Outline 13 (One Sample t-Test) PSYC 210 (Burnham)

1.

One Sample t -Test a.

Limits of z-test? b.

One Sample t -Test i.

Unknown μ and/or σ ii.

Assumed μ c.

Estimated standard error of the mean :

̂ =

̂

√ d.

t-Test:

=

̂

2.

Example 1: Do Whatsamatta-U students score different from 1500 on the SATs? a.

Hypotheses: b.

α = .05 c.

Sample Information: n = d.

Estimated standard error of the mean: SEM =

M = e.

Test statistic: t = f.

p-value i.

From t -Tables ( t -distribution) ii.

Degrees of Freedom (df)

3.

Example 2: Do male Whatsamatta-U students consume more alcohol than what is considered “binge drinking”? a.

Hypotheses: b.

α = .05 c.

Sample Information: n = d.

Estimated standard error of the mean: SEM =

M = e.

Test statistic: t = f.

p-value

Lecture Outline 13 (One Sample t-Test) PSYC 210 (Burnham)

4.

Example 3: Do female Whatsamatta-U students consume more alcohol than what is considered “binge drinking”? a.

Hypotheses: b.

α = .05 c.

Sample Information: n = M = d.

Estimated standard error of the mean: SEM = e.

Test statistic: t = f.

p-value

5.

MOE and CI Around M a.

If µ is unknown, the CI provides the likelihood of finding u in that range b.

Find 95% CI Around mean from Example 1: c.

t

α

= d.

SEM = e.

MOE = f.

CI =

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