A chemical manufacturer has been researching new formulas to provide quicker relief of minor pains. His...

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A chemical manufacturer has been researching new formulas toprovide quicker relief of minor pains. His laboratories haveproduced three di?erent formulas, which he wanted to test. Fifteenpeople who complained of minor pains were recruited for anexperiment. Five were given formula 1, ?ve were given formula 2,and the last ?ve were given formula 3. Each was asked to take themedicine and report the length of time until some relief was felt.The results below shows the time until relief is Felt.

Formula -1 : 4 8 6 9 8
Formula - 2 : 2 5 3 7 1
Formula - 3 : 6 7 7 8 6
SST = 78.4, SSE=42
(a) Write down the model and the ANOVA table to test whether thereexits any di?erences in the time of relief exist among the threeformulas? Use ? =0.05.
(b) Is the Formula-1 di?erent from Formula-3 at 5% level

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3.6 Ratings (406 Votes)

aH0 Null Hypothesis There do not exist any differences in the time of relief existamong the three formulasHA Alternative Hypothesis There exist any differences in the time of relief exist amongthe three formulasFrom the given data the following Table is calculatedFormula See Answer

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