Use the following for questions 11 - 15: A high school teacher suspects that stu

Question

Use the following for questions 11 - 15: A high school teacher suspects that students of different ages estimate the ages of adults differently. He asks randomly-selected sophomores, juniors, and seniors to guess the age of a person in a photograph and plans to compare the mean age guesses using one-way analysis of variance. Here is the computer output from his analysis: Assuming all necessary conditions have been met, what is the appropriate conclusion for the ANOVA F test? A) Reject H_0. These data do not provide enough evidence to conclude that there is a difference in the true mean age guesses in the three age groups. B) Reject H_0. These data provide convincing evidence that there is a difference in the true mean age guesses in these three age groups. C) Accept H_a. These data provide convincing evidence that there is a difference in the true mean age guesses in these three age groups. D) Fail to reject H_o. These data do not provide enough evidence to conclude that there is a difference in the true mean age guesses in the three age groups. E) Fail to reject H_a. These data provide convincing evidence that there is a difference in the true mean age guesses in these three age groups. Based on the numerical summaries in the computer output, which of the follow statement is true? A) All three samples have about the same range. B) The mean age guesses by seniors is closest to the person's actual age. C) There appears to be little difference between the age guesses of the three age groups. D) Age guesses by juniors are significantly higher than age guesses by sophomores. E) On average, the age guesses of seniors is much lower than that of the other two age groups.

Explanation / Answer

#13 Since p-value is less than 0.05, reject H0. Atleast one mean is different from others. Therefore, correct option is B.

#14 Based on the 95% confidence interval, on average, the age guesses by seniors is much lower than that of the other two age groups. Therefore, correct option is E.

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