Consider the partialy completed one-way ANOVA summary table below a) Complete th

Question

Consider the partialy completed one-way ANOVA summary table below a) Complete the remaining entries in the table. b) How many population means are being tested? c) Using =0.01, what conclusions can be made concerning the population means? 106 Wthin Tota 180 Cick the con to view a table of critical F-scores. a) Complete the ANOVA table below. uares Freedom Source Between 106 Within Total (Type integers or decimals rounded to three decimal places as needed.) 160 b) There are population means being tested. c) What are the hypotheses for this test? A· O B. HO Al the means are equal. H Not all the means are equal Ho: Not all the means are equal H1: Al the means are equal Mg: None of the means are equal. H,: All the means are equal. Mg: All the means are equal. H, None of the means are equal C. D' Determine the critical F-score, F for this tesL F.-D (Round to three decimal places as needed.) State the conclusion for = 0.01 Since tre F-test statistc is | than the critical F-score. the nul hypothesis and condude that

Explanation / Answer

The complete ANOVA table will be:

b) Numerator degrees of freedom = 2

Hence,

Number of population means being tested = 2 + 1 = 3

c) Hypotheses: Option B is correct.

d) Critical score = 8.022

e) Greater; Reject; Not all means are equal.

Source SS Df MS F Between 106 2 53 8.833 Within 54 9 6 Total 60 11

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