A researcher is testing the effect of listening to music while studying on memory. She obtains a sample of 36 college students and gives them a standardized memory test while they are listening to background music. Their mean is found to be 28. Under normal circumstances (without music) the scores on the test form a normal shaped distribution with a population mean of 25 and a standard deviation of 6. Is the result sufficient to conclude that music has a significant effect on memory? Test at α = .05. a. Using symbols, state the null and alternative hypotheses. (1 pt) b. Assuming a = .05, what critical value should the researcher use to test her hypothesis that music affects memory? (1 pt) c. Calculate the z-score statistic for this sample. (6 pts) d. What decision should the researcher make about the null hypothesis? (1 pts) e. What conclusion should the researcher reach about the effect of music on memory? (1 pt)