Often it is impossible to collect enough data from a process to obtain more than

Question

Often it is impossible to collect enough data from a process to obtain more than 30 samples. As an example consider this assignment. You need to determine if a new heat treatment process is causing increased strength in alloy steel samples As you know, the preparation of tensile samples is labor intensive and expensive and the experimental process is also costly. Therefore only a limited number of samples can be justified. Assignment For this assignment, you need to determine if a new heat treatment process is improving the strength of alloy steel. Two sets of tensile samples have been heat treated, machined from the test pieces, and pulled. The data appears below. Using a hypothesis test, determine the appropriate statistics for the test and write the "real world" question and answer. Use an alpha level of.05 for significance. Hypothesis Test F statistic__________t statistic_________Answer

Explanation / Answer

T-Statistic:

s2p = ((df1(df1 + df2)) * s21) + ((df2(df2+ df2)) * s22) = ((1120) * 132.45) + ((920) * 10.32) = 77.49

s2M1 = s2pN1 = 77.4912 = 6.46
s2M2 = s2pN2 = 77.4910 = 7.75

t = (M1 - M2)(s2M1 + s2M2) = -10.8214.21 = -2.87

t = -2.87

F-Stastic:

F = 0.35

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