Hearing appears to decline with ripen . Randomly selected volunteers were separated into antithetical age groups and their hearing campaigned . The interest data be the pure- feel honest for the subjects . analyse the hypothesis that on that point is no fight back in hearing train amid the age groupsTable 1Forties fifties sixties Seventies9 9 18 1813 5 9 2278 8 14 2410 3 26 176 15 13 199 112110 pure tone 1 : Null and jumpstart HypothesisThe hypotheses to be heared areThat is there is no difference in hearing level surrounded by the age groupsNot all the fashion are equal . That is at least one plastered (hearing level is differentStep 2 : The see of SignificanceThe level of significance ? selected is .05Step 3 : The Decision RuleThere are c 4 groups and n 24 observations , so degrees of freedom for the F test areNumerator : d .f .1 c ? 1 4 ?
1 3 (between treatments , factorDenominator : d .f .2 n ? c 24 ? 4 20 (within treatments , errorThe 5 part right-tail critical value F is 3 .0984This decision rule is illustrated in Figure 1Figure 1 : Decision RuleStep 4 : The Test StatisticUsing Excel for the calculations , the value of test statistic isF 0 .7940Table 2Anova : Single figure SUMMARYGroups Count Sum mean(a) Variance Forties 7 135 19 .2857 674 .5714 mid-fifties 6 51 8 .5 18 .3 Sixties 5 80 16 41 .5 Seventies 6 121...
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