Part II Remember to show all work for computation problems - you will not receive full credit without it! Carry computations to 4 decimal places and round to 2 for the final answer. (Computations for SS, s' and s may be done on your calculators without showing the work.) 11. A researcher hypothesizes that listening to music via headphones might have an effect on hearing. On a standard hearing test, the overall mean score for the population is 22.5 (higher numbers are better). The researcher then gives this same test to a random sample of 12 individuals who regularly use headphones. The mean score of the people who use headphones is 18.8, with a standard deviation of 3.7 Using this data, answer the following questions: a) What are the null and alternative hypotheses (in symbols only) for this study? (2 pts) b) Calculate the standard error of the mean. (2 pts) c) Create a 95% confidence interval for the population mean hearing score for people who listen to music wearing headphones. (3 pts) Give the interpretation of this interval (interpretation, not whether you reject or not). (2 pts) d) Using the confidence interval (not a t-test!), does the evidence suggest that the mean hearing test score for people who listen to music wearing headphones is significantly different from that of people in the general population? Explain why or why not. Include whether or not you reject the null hypothesis. (2 pts) Note: this does not have to be in APA style