Statistics

Hearing appears to decline with maturate . Randomly selected volunteers were separated into several(predicate) age groups and their hearing riddleed . The following data ar the pure-tone intermediate for the subjects . adjudicate the hypothesis that in that location is no divagation in hearing train in the midst of the age groupsTable 1Forties mid- fifties Sixties Seventies9 9 18 1813 5 9 2278 8 14 2410 3 26 176 15 13 199 112110 timeworn 1 : Null and Alternate HypothesisThe hypotheses to be sorted areThat is thither is no difference in hearing level mingled with the age groupsNot all the means are equal . That is at least one mean (hearing level is differentStep 2 : The level of SignificanceThe level of significance ? selected is .05Step 3 : The Decision RuleThere are c 4 groups and n 24 observations , so degrees of free dom 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 percent 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 Factor SUMMARYGroups Count Sum average Variance Forties 7 135 19 .2857 674 .5714 fifties 6 51 8 .5 18 .3 Sixties 5 80 16 41 .5 Seventies 6 121...If you want to get a full essay, order it on our website: OrderCustomPaper.com
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