An ongoing discussion concerns the amount of time that college students spend studying compared with other activities. a recent comment by the conservative "think tank" the heritage foundation found that college students spend on average 12 hours per week studying, which is less than one-half the time spent on leisure activities. concerned faculty suspect that clark students study more than other college students. the faculty conducted a survey in econ 160 class in fall 2019 (42 students) and found that the average study hours is 14.94 per week and the standard deviation is 10.27. suppose this is a random sample. conduct a hypothesis test of the faculty’s question. a. define the parameter and state the hypotheses. b. define the sampling distribution (mean and standard deviation). c. perform the test and calculate p-value d. state your conclusion. e. explain what the p-value means in this context.