A developmental psychologist is examining problem-solving ability for grade scho

Question

A developmental psychologist is examining problem-solving ability for grade school children. Random samples of 5-year-old, 6-year-old, and 7-year-old children are obtained with n=3 in each sample. Each child is given a standardized problem-solving task, and the psychologist records the number of errors. The psychologist wants to know if there are any significant differences in problem-solving ability depending on age level. The psychologist conducts an ANOVA test at .05 level of significance and obtains the p-value of .031 for the F-ratio.

Which of the following would be the correct interpretation of the results of this test?

The problem-solving ability differs by age. More specifically 7-year olds have a significantly lower problem-solving ability than that of 5-year olds and 6-year olds.

The problem-solving ability differs by age. More specifically 7-year olds have a significantly higher problem-solving ability than that of 5-year olds and 6-year olds.

The problem-solving ability differs by age but we do not know what age groups differ.

The problem-solving ability does not differ by age.

The problem-solving ability differs by age. More specifically 7-year olds have a significantly lower problem-solving ability than that of 5-year olds and 6-year olds.

The problem-solving ability differs by age. More specifically 7-year olds have a significantly higher problem-solving ability than that of 5-year olds and 6-year olds.

The problem-solving ability differs by age but we do not know what age groups differ.

The problem-solving ability does not differ by age.

Explanation / Answer

The problem-solving ability differs by age but we do not know what age groups differ.

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