A new math program was evaluated using four groups of students. Treatment group 1 had 10 elementary students. Treatment group 2 had 12 middle school students. Treatment group 3 had 10 high school students, and treatment group 4 had 15 students that were homeschooled. Complete the ANOVA table below and use it to conduct a 4-step hypothesis (ANOVA) test to determine if there is sufficient evidence to conclude the new math program made a significant change in mean scores at α=.05 source of variation SS df MS F treatment 360 error 516 total On all hypothesis test: 1) clearly state the null and alternative hypotheses; 2) sketch a graph of the rejection region labeled with the critical value; 3) calculate the test statistic (showing work) and p-value (give a range for t, chi-square, and F), and 4)using evidence state a detailed conclusion.
A new math program was evaluated using four groups of students. Treatment group 1 had 10 elementary students. Treatment group 2 had 12 middle school students. Treatment group 3 had 10 high school students, and treatment group 4 had 15 students that were homeschooled. Complete the ANOVA table below and use it to conduct a 4-step hypothesis (ANOVA) test to determine if there is sufficient evidence to conclude the new math program made a significant change in mean scores at α=.05
| source of variation | SS | df | MS | F |
| treatment | 360 | |||
| error | 516 | |||
| total |
On all hypothesis test: 1) clearly state the null and alternative hypotheses; 2)
sketch a graph of the rejection region labeled with the critical value; 3) calculate the test
statistic (showing work) and p-value (give a
evidence state a detailed conclusion.
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