Some researchers are doing a two-mean pooled t-test. They have two samples with sizes n1=16 and n2=23. The population standard deviations are unknown but assumed to be equal, so the sample standard deviations are found and used to calculate a pooled standard deviation, sp.For sample 1: s1=7.4 and x¯1=49For sample 2: s2=6.9 and x¯2=53What are the test statistic (t) and the degrees of freedom to perform this test?Select the correct answer below: If sp=7.107, then t=16−23(7.107) 116+123√≈−3.03df=37 If sp=7.107, then t=16−23(7.107) 149+153√≈−4.97df=37 If sp=7.107, then t=49−53(7.107) 149+153√≈−2.84df=39 If sp=7.107, then t=49−53(7.107) 116+123√≈−1.73df=37 If sp=7.107, then t=49−53(7.107) 116+123√≈−1.73df=39 If sp=7.107, then t=16−23(7.107) 149+153√≈−4.97df=39

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Description: Some researchers are doing a two-mean pooled t-test. They have two samples with sizes n1=16 and n2=23. The population standard deviations are unknown but assumed to be equal, so the sample standard deviations are found and used to calculate a pooled

The t-test statistic for the same population variance is assumed as, where n1 and n2=sample sizes…

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Some researchers are doing a two-mean pooled t-test. They have two samples with sizes n1=16 and n2=23. The population standard deviations are unknown but assumed to be equal, so the sample standard deviations are found and used to calculate a pooled standard deviation, sp.

For sample 1: s1=7.4 and x¯1=49
For sample 2: s2=6.9 and x¯2=53

What are the test statistic (t) and the degrees of freedom to perform this test?

Select the correct answer below:

If sp=7.107, then t=16−23(7.107) 116+123√≈−3.03

df=37

If sp=7.107, then t=16−23(7.107) 149+153√≈−4.97

df=37

If sp=7.107, then t=49−53(7.107) 149+153√≈−2.84

df=39

If sp=7.107, then t=49−53(7.107) 116+123√≈−1.73

df=37

If sp=7.107, then t=49−53(7.107) 116+123√≈−1.73

df=39

If sp=7.107, then t=16−23(7.107) 149+153√≈−4.97

df=39

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