are my answers correct? i dont know how to solve the rest of the problems, pleas
ID: 3244794 • Letter: A
Question
are my answers correct? i dont know how to solve the rest of the problems, please help. thank you
5. Differentiating pooled variance and the estimated standard error of the difference in Aa Aa sample means For the independent-measures t test, which of the following describes the estimated standard error of M,- M2 (whose symbol is s( -M2) )? An estimate of the standard distance between the difference in sample means (M1 - M2) and the difference in the corresponding population means (in- O The difference between the standard deviations of the two samples O A weighted average of the two sample variances (weighted by the sample sizes) O The variance across all the data values when both samples are pooled together For the independent-measures t test, which of the following describes the pooled variance (whose symbol is 2 O The variance across all the data values when both samples are pooled together O A weighted average of the two sample variances (weighted by the sample sizes) O An estimate of the standard distance between the difference in sample means (M1-M2) and the difference in the corresponding population means - O The difference between the standard deviations of the two samples 52.-, you typically first need to calculate s In calculating the denominator of the t statistic for the independent-measures t test. SDS(M M2) is the value used in Suppose you conduct a study using an independent-measures research design, and you intend to use the independent-measures t test to test whether the means of the two independent populations are the same. The following is a table of the information you gather Fill in any missing values. Sample Size Degrees of Sample Standard Deviation Sums of Squares Freedoml MeanExplanation / Answer
The first two parts are correctly.
The third part should be as follows:
In calculating S(M1-M2), you typically first need to calculate Sp2. S(M1-M2) is the value used in the denominator of the t statistic.
Pooled variance, Sp2 = (SS1 + SS2)/(df1 + df2) = (291.6+1248.2)/(10+20) = 51.327
Estimated standard error, S(M1-M2) = (Sp2/n1 + Sp2/n2)0.5 = (51.327/11 + 51.327/21)0.5 = 2.667
t statistic = (M1-M2)/S(M1-M2) = (4.5-3.6)/2.667 = 0.337
Degrees of freedom = df1 + df2 = 10+20 = 30
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