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 =