Question

A researcher wanted to investigate an effect of listening to hip-hop music on reading comprehension. She randomly selected a sample of n = 36 college students.

The sample of students completed a reading comprehension test while hip-hop music was played in the background. In the college population, the mean reading comprehension test score is μ = 40 and σ = 18. The sample of n = 36 students who took the test with hip-hop music in the background had the mean reading comprehension score of M = 32. A. Do the data indicate a significant effect of hip-hop music on reading comprehension?

Use two-tailed test with α = .05 to answer this research question. Note: To receive full credit you must include the following: - null and alternative hypotheses - all computational steps of the z-test - critical z-value used for decision about Ho - decision about Ho (i.e., reject or fail to reject) - conclusion in APA style: interpretation of the z-test outcome to answer the research question (is there a significant effect of hip-hop music on reading comprehension or not?

If there is a significant effect, address in your conclusion the direction of the effect - is the effect positive or negative/is there an improvement or decline?) B. If needed, compute Cohen's d to establish the size of the effect and report it in your conclusion. Is the effect size small, medium or large?

Answer 1

Let X :- Effect of listening to hip-hop music on reading comprehension

To Test

H₀ :-

There is no effect of hip-hop music on reading comprehension

H₁ :-

There is an effect of hip-hop music on reading comprehension

Test Statistic :-

Test Criteria :-

Reject null hypothesis if for

Crtical value ( From Standard Normal table )

= | - 2.67 | = 2.67 > 1.96, We reject null hypothesis

Conclusion :- Accept Alternative Hypothesis

There is an significant effect of hip-hop music on reading comprehension

Part B) compute Cohen's d to establish the size of the effect and report it in your conclusion

d < 0.2

The effect size is small in the population

since d < 0.2, we can conclude that mean difference is 0.2 standard deviation below the mean.