Suppose that an instructor wants to investigate whether the font used on an exam
ID: 3174929 • Letter: S
Question
Suppose that an instructor wants to investigate whether the font used on an exam affects student performance as measured by the final exam score. She uses four different fonts (times, courier, helvetica, comic sans) and randomly assigns her 40 students to one of those four fonts.... Now suppose that the p-value from the ANOVA F-test turns out to be 0.003. All of the following statements are false. Explain why each one is false... A.) The probability is 0.003 that the four groups have the same mean score. B.) The data provide very strong evidence that all four fonts produce different mean scores. C.) The data provide very strong evidence that the comic sans font produces a different mean score than the other fonts. D.) The data provide very little evidence that at least one of these fonts produces a different mean score than the others. E.) The data do not allow for drawing a cause-and-effect conclusion between font and exam score. F.) Conclusions from this analysis can be generalized to the population of all students at the instructor's school.
Explanation / Answer
Result:
Suppose that an instructor wants to investigate whether the font used on an exam affects student performance as measured by the final exam score. She uses four different fonts (times, courier, helvetica, comic sans) and randomly assigns her 40 students to one of those four fonts.... Now suppose that the p-value from the ANOVA F-test turns out to be 0.003. All of the following statements are false. Explain why each one is false...
A.) The probability is 0.003 that the four groups have the same mean score.
No, probability is 0.003 is that the four groups have the observed mean difference or extreme when Ho is true.
B.) The data provide very strong evidence that all four fonts produce different mean scores.
No, at least two fonts are different.
C.) The data provide very strong evidence that the comic sans font produces a different mean score than the other fonts.
No, Significant ANOVA F tells at least two fonts are different, not a particular group differ with others.
D.) The data provide very little evidence that at least one of these fonts produces a different mean score than the others.
P=0.003 which is < 0.01 level gives strong evidence that at least one of these fonts produces a different mean score than the others.
E.) The data do not allow for drawing a cause-and-effect conclusion between font and exam score.
We can draw a cause-and-effect conclusion because exam followed by uses four different fonts.
F.) Conclusions from this analysis can be generalized to the population of all students at the instructor's school.
No, The sample is not random from her school.
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