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ExamplesofhypothesiszandttestingN.xlsx
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Examples of Ho test

Problem is to increase production Problem is to decrease QA failures
Initial condition u = 100 Conduct Training u > 100 n = 36 Initial condition u = 10 switch to u < 10 n = 49
Sta dev = 20 x bar = 105 Sta dev = 3 XYZ from ABC x bar = 8.5
Ho u ≤ 100 Ha u > 100 Ho u ≥ 10 Ha u < 10
α = 0.05 α = 0.05
test statistics = z test because n = 36 > 30 test statistics = z test because n = 49 > 30
FDR Reject Ho if z > 1.645 FDR Reject Ho if z < - 1.645
S (x bar - u) / σ / Ö n = (105 - 100) / 20 / SQrt 36 = 6 ==> 1.50 S (x bar - u) / σ / Ö n = (8.5 - 10) / 3 / SQrt 49 = -7 ==> -3.50
D Since z = 1.50 < 1.645 , Fail to reject Ho D Since z = - 3.50 < - 1.645 , reject Ho
C Training did not make a statistically significant difference C Switching to XYZ has made a statistically significant difference
R Try something else R Recommend continue with XYZ

Formulas

Sheet4

Sheet5

Sheet1

H alfa 0.05 -1.645 alfa 0.05 1.645 default
a 0.01 -2.326347874 0.01 2.326347874
t 0.1 -1.2815515655 0.1 1.2815515655
fdr HAT
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