Athletes performing in bright sunlight often smear black eye grease under their eyes to reduce glare. Does eye grease work? In one study, 16 student subjects took a test of sensitivity to contrast after three hours facing into bright sun, both with and without eye grease. (Greater sensitivity to contrast improves vision and glare reduces sensitivity to contrast.) The following data was collected for differences in sensitivity, with eye grease minus without eye grease. (ie, if the value is negative, that means the person is LESS sensitive with eye grease than without; if a the value is 0, there is NO difference in sensitivity.) Assume the data is a random sample and that sensitivity follows a normal distribution. We want to know if eye grease reduces sensitivity. 0.07 0.64 -0.12 -0.05 -0.18 0.14 -0.16 0.03 0.05 0.02 0.43 0.24 -0.11 0.28 0.05 0.29 a. What are the the null hypothesis and the alternative hypothesis? ????????: ____________________________________ ????????: ____________________________________ b. What are the real-life interpretations of the null and alternative hypotheses? c. With your calculator, find the p-value using an alpha level of ???? = 0.05. ???? = _______________________ d. Does this result mean we should reject or fail to reject the null hypothesis? e. Interpretation: What is our conclusion in real-world terms?