1. What hypothesis ( null and alternative) are implied in this problem? Write do
ID: 3267767 • Letter: 1
Question
1. What hypothesis ( null and alternative) are implied in this problem? Write down the hypothesis 2. Test for any significance difference between the mean out level of 6 treatments. Using a significance level of 0.05 the following results In an experiment designed to test the output level of 6 different treatments,t were obtained: SST 400, SSB-150, nr-36. We are willing to test if there is a significant difference between treatments d is also called Note: SST is Sum of Squares Total. SSB is Sum of Squares Between Treatme SSTR (Sum of Squares due to Treatment). nr is the total number of observations. nts anExplanation / Answer
H0: There is no difference between treatments.
Ha: There is significant difference between the treatment.
Test statistics
SSR = SST - SSB = 250
MSS = SS / DF
F = MSB / MSR
ANOVA Table
Source DF SS MSS F P
SSB k-1=5 150 30 3.6 0.011417
SSR n-k=30 250 8.333
SST n-1=35 400
Since p value < 0.05 level, we have sufficient evidence to reject H0.
We conclude that at 0.05 level, there is enough evidence to support the claim that there is significant difference
between treatments.