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olga_2 [115]
3 years ago
13

G two samples, one of size 14 and the second of size 13, are selected to test the difference between two population means. how m

any degrees of freedom are used to find the critical value? assume the population standard deviations are equal.

Mathematics
1 answer:
vovikov84 [41]3 years ago
5 0

Note :- If sample size n > 30 OR Population standard deviation σ is given then We use Z test.

If sample size n < 30 AND Population standard deviation σ is unknown then we use t test.

In this question we are not given Population standard deviations σ1 and σ2.

Also n1 = 14 and n2 = 13 both sample sizes are LESS than 30.

Therefore we use t test.

Given :- Assume the population standard deviations are equal. ( σ1 = σ2)

then Degrees of freedom = n1 + n2 - 2 = 14 + 13 - 2 = 25.

(kindly find the image attached with this solution)

Answer :- Therefore 25 degrees of freedom are used to find the t critical value.

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