What does “statistically significant” mean in this context? (More than one answer is correct. Select each correct answer.)
When dating someone, what matters more to you: looks or personality? This question was the focus of a community college student’s class project for an introductory statistics course. She devised a 25-point scale. An answer of 1 means “personality matters most and looks don’t matter at all.” A score of 25 means “looks matter most and personality does not matter at all.” Her hypothesis is that the mean scores for males and females will differ, but she does not have an opinion about which population will have a higher mean score.
Here are her hypotheses.
- H0: μ1 − μ2 = 0
- Ha: μ1 − μ2 ≠ 0
She chose a random sample of 10 classes from the schedule at Los Medanos College and distributed surveys in those classes. Survey respondents totaled 170 students: 85 females and 85 males.
We used her data to run a hypothesis test for a difference in two population means. Here are the
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1. Verify in the print-out above, that the difference between the sample means about 2.62 points, with the mean for females lower.
2. Question: When conducting a two-samples t test, what will we do with the values seen in the table above for standard error of the mean, minimum, and maximum for both samples. Answer: Nothing! The analysis focuses on the difference between population means so we won't use standard error for the individual means. What's the lesson? Clean up your tables! Present the descriptive statistics that will help your audience understand the results and eliminate information that is not useful.
What does “statistically significant” mean in this context? (More than one answer is correct. Select each correct answer.)
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