A drug company is marketing a new pain relief formula in 800 mg. tablets. The company claims that on the average 2.6 of the tablets will eliminate a migraine headache. A neurologist randomly selects 25 of her patients with migraines to keep track of how many of the new tablets are needed to get relief from their next migraine. Her patients have an average of 3.1 tablets with a standard deviation of 1.1. The data showed to be normally distributed. Can the neurologist conclude, at the 0.05 level of significance, that the new pain relief formula is less potent than the drug company claims? a) State the Null and Alternative Hypothesis for this test, using the appropriate notation with the parameter included. b) Are the conditions for normality met? Explain your reasoning. c) Identify the mean, standard deviation, and sample size for our sample. Use the mathematical notation to identify each value. d) Calculate the standard error for this test. Round to 3 decimal places e) Calculate the Standardized Test Statistic. Show the formula with your values in the calculation. Round to 2 decimal places