A researcher is interested in whether time spent playing music is different amongst musicians of different genres. She knows that the population mean is 45 hours per week with a standard deviation of 12 hours. Assume that she will randomly select 36 individuals as her sample size. Based on this information, answer the following questions using the appropriate hypothesis test. a) What is the appropriate hypothesis test? z-test b) Compute the standard error or estimate of the standard error of the mean for her intended sample size. M = 2 (Round to the hundredths place) c) Based on this distribution, what is the proportion of sample means above a mean time spent playing music of 48.92 hours? z = obt = 1.96 (Round to the hundredths place) proportion = (Do not round) d) Suppose the researcher randomly samples 36 Punk musicians and obtains a sample mean of 49.49 hours. What is the z- or t-score for this sample mean? What is the probability (i.e., percentage) of obtaining a score equal to or greater than this? z = obt = X (Round to the hundredths place) probability (i.e., percentage): = % (Do not round)