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Administration

ADM2304

Suren Phansalker

Winter

Description

ADM 2304 M Jaclyn Ebert 6221545
One Sample T-Test – One Population Mean Interpretation: 95% of the confidence intervals contain the
1. ( ) true population mean.
( ) Left-Tail Z-Test Binomial Test
( ) Right-Tail Z-Test ( )
( ) Two-Tail Z-Test ( )
Assumptions: random sample, normally distributed Assumption: ̂ ̂
If sample is >10% of population, ×denominator by: √ ( ) ( )( )
̅ ( )
2.
⁄√ n = sample size/# trials, x = number of successes, n-x =
number of failures, p = probability of success, q = (1-p) =
3. probability of failure.
( ) ( ) Find in t-Table Testing for Change:
⁄ ⁄ Test Two-Tailed Right Tailed Left Tailed
4. Since *| | + * +, reject
For Different? More? Less?
There is sufficient evidence to show CI Symmetric Asymmetric Asymmetric
Since *| | + * +, do not reject Lower Bound Upper Bound
There is insufficient evidence to show CI & HT is straddled
Consistent by CI
5. Symmetrical CI for Two-Tailed:
( ̅ Normality: Outliers?
̅ ( ̅ ̅ ( )
√ Test mean with normal distribution – Parametric Test
Upper bound for Left-Tailed: + ( ) Test median for non-normal distribution – Non-Parametric
Lower bound for Right-Tailed: – = (- ) Difference of the Mean T-Test – Two Sample/Pop Means
6. p-val = , ( ) | |- ( )
Find in middle of t-Table – Subtract from 1 for Right T
( ) Two-Tailed T-Test
Since {p-val = } < { }, reject Assumptions: samples independent & normally distributed
Since {p-val = } > { }, do not reject
Unequal Population Variance:
One Sample Z-Test – One Population Mean ( ̅ ̅ ) ( ̅ ̅ )
Same as T-Test. Used when population SD is known.
( ̅ ̅ )
̅ √ ( )
⁄ ̅
⁄√ √
( )
LS = α One Tail Zcrit Two Tailed
0.001 3.0902 0.0005 3.2905
0.005 2.5758 0.0025 2.8070 ( ) ( )
0.01 2.3263 0.005 2.5758 CI Zcrit
90% 1.6449 ( )
0.02 2.0537 0.01 2.3263 ⁄
0.05 1.6449 0.025 1.9600 95% 1.9600
0.1 1.2816 0.05 1.6449 98% 2.3263
0.2 0.8416 0.1 1.2816 99% 2.5758 ( ̅ ̅ ) √ ( )
One Proportion Z-Test
Equal Population Variance with pooling:
( ) # = population % =
( ) Left-Tail Z-Test for decrease ( ) ( )
( ) Right-Tail Z-Test for increase
( ) Two-Tail Z-Test for different ( ̅ ̅ ) ( ̅ ̅ )
̂ ̂ ̂ ( ̅ ̅ ) √ . /
Assumption: ̂ ̂
(̂ ) (̂ ) ⁄ ( ) ⁄ ( )
(̂)
√ √
( ̅ ̅ ) ( )
⁄
( ) ( ) ̂ ̂ There is (in)sufficient evidence to show that there is a
difference in the mean bet

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