Question

What is the long-hand solution to this problem? Two separate samples receive different treatments. After treatment, the first sample has n = 6 with SS = 236, and the second has n = 12 with SS = 340. Compute the pooled variance for the two samples. Calculate the estimated standard error for the sample mean difference. If the sample mean difference is 7 points, is this enough to reject the null hypothesis using a two-tailed test with a α = .05?

Name: what is the long hand solution to this problem two separate samples receive different treatments after treatment the first sample has n 6 with ss 236 and the second has n 12 with ss 340 comp 38508
Uploaded: 2023-09-02T16:34:46-08:00
Duration: 3 min 14 s
Channel: Adi S
Description: what is the long hand solution to this problem two separate samples receive different treatments after treatment the first sample has n 6 with ss 236 and the second has n 12 with ss 340 comp 38508

          What is the long-hand solution to this problem?
Two separate samples receive different treatments. After treatment, the first sample has n = 6 with SS = 236, and the second has n = 12 with SS = 340.
Compute the pooled variance for the two samples.
Calculate the estimated standard error for the sample mean difference.
If the sample mean difference is 7 points, is this enough to reject the null hypothesis using a two-tailed test with a α = .05?

Added by Daniela A.

Elementary Statistics a Step by Step Approach

Allan G. Bluman 9th Edition

Instant Answer

Solved by Expert Adi S

09/02/2023

Step 1

Compute the pooled variance for the two samples. The pooled variance (s_p^2) is calculated as follows: $$ s_p^2 = \frac{(SS_1 + SS_2)}{(n_1 + n_2 - 2)} $$ Plugging in the given values: $$ s_p^2 = \frac{(236 + 340)}{(6 + 12 - 2)} = \frac{576}{16} $$ So, the Show more…

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What is the long-hand solution to this problem? Two separate samples receive different treatments. After treatment, the first sample has n = 6 with SS = 236, and the second has n = 12 with SS = 340. Compute the pooled variance for the two samples. Calculate the estimated standard error for the sample mean difference. If the sample mean difference is 7 points, is this enough to reject the null hypothesis using a two-tailed test with a α = .05?