1 A music instructor wants assess the relationship between h

1.

A music instructor wants assess the relationship between hours spent in practice and the score in a national technical exam. She selects a random sample of 300 students and correlates their practice hours per week with their test scores. The relationship appears linear, the correlation is 0.42 and the p-value=.001. Which of the following statements are accurate?

a. A strong positive relationship exists between practice time and test scores.

b. There is strong evidence that the relationship is likely in the population

c. There is a moderate negative relationship between practice time and test scores.

d. There is marginal evidence that a relationship between practice time and test scores is likely in the population

2.

A physics instructor believes natural light improves learning and randomly assigns a total of 50 students to a natural light condition or an artificial light condition. Both groups receive a learning task and are given a test scored as number correct. What conditions will you assess for the appropriate statistical test for this study?

a. Are the scores normally distributed in each condition?

b. Does the relationship appear linear?

c. Do the groups have similar standard deviations?

d. Is the sample randomly selected?

Solution

1.

As r > 0 (positive) with a very small p value (p = 0.001), it is

a. A strong positive relationship exists between practice time and test scores. [ANSWER]

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2.

As this is a 2-sample t test, then we have to know if

OPTION A: Are the scores normally distributed?

You can also consider:

OPTION C: Do the groups have similar standard deviations?

AND

OPTION D: Is the sample randomly selected?

[Three answers, A, C, D]