Please help with this problem and show work! It is a review a. Given the followi
ID: 3229636 • Letter: P
Question
Please help with this problem and show work! It is a review
a. Given the following information obtained from four normally distributed populations, construct an ANOVA table. Use Table 4. (Do not round intermediate calculations. Round your answers except "df to 2 decimal places.) SST = 70.47; SSTR = 11.34; c = 4; n_1 = = n_2 = n_3 = n_4 = 8 b. At the 5% significance level, what is the conclusion to the ANOVA test of mean differences? Reject H_0; we can conclude that some means differ. Reject H_0; we cannot conclude that some means differ. Do not reject H_0; we can conclude that some means differ. Do not reject H_0; we cannot conclude that some means differ.Explanation / Answer
a) The ANOVA table for the given data ia as follows
b) Since the test statiistic value is less than the critcal value i.e., 1.79 < 2.95,the correct option is
Do not reject H0, we cannot conclude that some means differ
ANOVA Source of Variation SS df MS F F crit at 5% Between Groups 11.34 3 3.78 1.79 2.95 Within Groups 59.13 28 2.11 Total 70.47 31