The following data summarize the results from an independent-measures study comparing three treatment conditions.                                                                              Treatment                                                                     I               II            III                   N = 12                                                                     4              3            8                    G = 48                                                                     3              1            4                 ∑X2 = 238                                                                     5              3            6                                                                     4              1            6                                                                  x̅1 = 4        x̅2 = 2      x̅3  = 6                                                                 T1 = 16      T2 = 8      T3 = 24                                                               SS1 = 2     SS2 = 4    SS3 = 8 Use an ANOVA with an α = .05 to determine whether there are any significant differences among the three treatment means. what correctly represents the null and alternative hypothesis? what represents the proper critical region? Compute the test statistic what can be concluded?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 25PFA
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The following data summarize the results from an independent-measures study comparing three treatment conditions.

                                                                             Treatment

                                                                    I               II            III                   N = 12

                                                                    4              3            8                    G = 48

                                                                    3              1            4                 ∑X2 = 238

                                                                    5              3            6

                                                                    4              1            6

                                                                 x̅1 = 4        x̅2 = 2      x̅ = 6 

                                                               T1 = 16      T2 = 8      T3 = 24

                                                              SS1 = 2     SS2 = 4    SS3 = 8

Use an ANOVA with an α = .05 to determine whether there are any significant differences among the three treatment means.

what correctly represents the null and alternative hypothesis?

what represents the proper critical region?

Compute the test statistic

what can be concluded?

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