Sample standard deviation s2 6 in performing the pooled...

Sample standard deviation S2 = 6. In performing the pooled-variance t-test, how many degrees of freedom are there? There are __ degrees of freedom. (Simplify your answer.) Assume there is a sample of n = 5, with the sample mean X1 = 35 and a sample standard deviation of S1 = 3, and there is an independent sample of n = 9 from another population with a sample mean of X2 = 30 and a sample standard deviation S2 = 6. In performing the pooled-variance t-test, how many degrees of freedom are there? There are __ degrees of freedom. (Simplify your answer.)

Transcript

00:01 Hello students.

00:03 So in this question the sample number of three cases are given.

00:06 So the sample number for case 1 is 50.

00:09 The sample number for case 2 is 31 and the sample number for case 3 is 64.

00:15 Now for the first question we have to evaluate the mean of a single continuous variable from a study with a sample of n is equals to 50.

00:24 So sample number for case 1 is 50 using that is statistics, right? so basically we have to find the degrees of freedom in the first person and in the second percent, we have to evaluate the mean using the key statistics.

00:39 So we are given a sample number of 31 and s s s means the sum of squares, so some of squares is also given in this question for the case 2 and this is 120 right.

00:52 So for this second, second question we have to calculate the variance for the sample and in the third question a sample number of 64 is given to us and the sample variance is also given and this is a 1 ,600 and we have to estimate the standard error for the sample right so let's see how we can solve this so there are formula for each cases so we'll like down the formula of degrees of freedom at first so we are talking about the question number one so i'll write down the degrees of freedom right so degrees of freedom so the decrease as freedom is often used by this df right so it is also denoted by d f so formula of decrease of freedom is sample number minus one so sample number is n and it will be subtracted by one right so this will become the value of any state and minus one so the degrees of freedom is 9.

02:04 So the first question is solved.

02:07 Now we are looking for the second question and the second question was to find the value of variance of the sample case.

02:14 So i will add down the formula of variance...

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