Use the following information for questions:
Conscientiousness is a tendency to show self-discipline, act dutifully, and aim for achievement. The trait shows a preference for planned rather than spontaneous behavior. A random sample of 650 students is asked to fill out the Hogan Personality Inventory (HPI) to measure their level of conscientiousness. The 300 undergraduate students scored an average of 148 with a standard deviation of 16. The 350 graduate students had a mean score of 153 with a standard deviation of 21. Is this enough evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students?
-Which of the following is an appropriate conclusion?
A) The population mean HPI score of graduate students is 5 points higher than the population mean HPI score of undergraduate students.
B) The mean HPI score of graduate students is not significantly higher than the mean HPI score of undergraduate students.
C) The mean HPI score of graduate students is significantly higher than the mean HPI score of undergraduate students.
D) The mean HPI score of graduate students is higher than the mean HPI score of undergraduate students.

Question

Use the following information for questions:
 Conscientiousness is a tendency to show self-discipline, act dutifully, and aim for achievement. The trait shows a preference for planned rather than spontaneous behavior. A random sample of 650 students is asked to fill out the Hogan Personality Inventory (HPI) to measure their level of conscientiousness. The 300 undergraduate students scored an average of 148 with a standard deviation of 16. The 350 graduate students had a mean score of 153 with a standard deviation of 21. Is this enough evidence to conclude that graduate students score higher, on average, on the HPI than undergraduate students?
-Which of the following is an appropriate conclusion?
A) The population mean HPI score of graduate students is 5 points higher than the population mean HPI score of undergraduate students.
B) The mean HPI score of graduate students is not significantly higher than the mean HPI score of undergraduate students.
C) The mean HPI score of graduate students is significantly higher than the mean HPI score of undergraduate students.
D) The mean HPI score of graduate students is higher than the mean HPI score of undergraduate students.

Quizplus · Accepted Answer

A statistical test, such as a t-test, would likely show that the difference in means is significant given the sample sizes and standard deviations.

Use the Following Information for Questions