I am pretty sure I have the correct answer for 32, but I do not understand how t

Question

I am pretty sure I have the correct answer for 32, but I do not understand how to complete 33 and 35. please show work (the two highlighted questions are what I am having issues with.

32. An analysis is conducted to compare mean time to pain relief (measured in minutes) under four competing treatment regimens. Summary statistics on the four treatments are shown below. The ANOVA table presented below is not completed. Compute the SSB value. (Round to one decimal place). Treatment Sample Size Mean Time to Relief 33.8 27.0 50.8 39.6 Sample Variance 17.7 15.5 9.7 16.8 df Source of Sum of variation squares Between 1524.4 groups variance 508.1333 13719.48116 12324 Within Msb 508.133 MSV-232.4675 F-2.186 33 Based on the data and ANOVA table providéd in Q32,compute the MSE. (round to 2 decimal places) 34. Based on the data and ANOVA table provided in Q32, compute the F test statistic. (round to 2 decimal places) 2.19 35. What is the critical value for the hypothesis test you performed in Q32-034?

Explanation / Answer

Let me firstly clear your a small confusion :

Sometimes, we call the factor is a treatment, sometimes the row heading is labeled as Between to make it clear that the row concerns the variation between the groups. So factor/treatment/ between groups are same thing..

(2) Error means "the variability within the groups" or "unexplained random error." Sometimes, the row heading is labeled as Within to make it clear that the row concerns the variation within the groups. So within groups or errors are same thing.

As you are saying your answer for 32 is correct. NO, it was not correct :(

Here down below you can see correct table.

By making use of this table Im answering rest questions:

MSE = 14.93

F CAL= MSB/MSE= 508.133/14.9304= 34.033

CRITICAL VALUE OF F FOR df1= 3 and df2= 16 at 0.05 is 3.24

If you like the answer. Please thumbs up:) Thank you!

Source of Variation Sum of squares D.F M.S FCAL F CRIT P VALUE BETWEEN GROUPS/TREATMENT 1524.400 3 508.133 34.033 3.24 0.00 WITHIN GROUPS/ ERROR 238.8864 16 14.9304 TOTAL 1763.2864 19

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