2SampFTest and ANOVA F-test

A researcher wishes to determine whether there is a difference in the average age of elementary school, high school. and community college teachers. Teachers are randomly selected from each group, and their ages are recorded below. Elem entamI Teachers High School Teachers Community College Teachers 25 4O 38 :30 3E! 45 2? 41 39 35 4E! 60 50 4O 45 25 32 36 The researcher will use this data, along with a .05 signicance level, to test the claim that there is no difference among the means. Assume that all distributions are normal, the population standard deviations are approximately equal, and the data were collected independently and randomly. Fill in the blanks to answer the following questions: a) Calculate the test statistic for the test: test stat = l b} Find the p-value for the test: p = l l c) Based on these calculations, the decision is to l l Ho. Avending machine company wants to check three of its machines to determine if they are properly dispensing 12 ounces of coffee. They select random samples from each of the machines, producing the following data: Machine A Machine B Machine C 11.6 11.7 12.2 12.2 11.9 12.1 12.0 11.6 12.0 11.8 11,8 11.9 12.2 12.0 12.2 11,9 11.3 Assume that this sample data is used to test the hypothesis that all three machines have the same mean. Also assume that a signicance level of o = 0.05. Fill in the blanks to answer the following questions: a) Calculate the test statistic for the test: test stat = l b} Find the p-value for the test: p = l l c) Based on these calculations, the decision is to l l Ho