Five groups of listeners are tested on a speech intelligibility task with signal

Question

Five groups of listeners are tested on a speech intelligibility task with signals with signals presented at the same sensation level to all listeners. The groups are (a) normal hearing listeners (n = 10), (b) listeners with a mild conductive hearing loss (n = 10), (c) listeners with a moderate conductive hearing loss (n = 10), (d) listeners with a mild sensorineural hearing loss (n = 10), and (e) listeners with a moderate sensorineural hearing loss (n = 10). Between group variance = 700, within-group variance = 309. Identify the degree's of freedom. Identify the critical value.

Explanation / Answer

we know that

Among group degrees of freedom equals number of groups minus>

Within group degrees of freedom equals the number of groups times the number within each group minus>

so we have k = 5 for 5 groups and n = 10 for each group

so df1 = 5-1 = 4

and df 2 = 5*(10-1) = 45

consdering an alpha or level of signficance as 0.05 , we use F table to calculate the crtical value as

2.422 , please keep the f table handy for this.

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