A drug company is marketing a new pain relief formula in 800 mg. tablets. The company claimsthat on the average 2.6 of the tablets will eliminate a migraine headache. A neurologistrandomly selects 25 of her patients with migraines to keep track of how many of the new tabletsare needed to get relief from their next migraine. Her patients have an average of 3.1 tabletswith a standard deviation of 1.1. The data showed to be normally distributed. Can theneurologist conclude, at the 0.05 level of significance, that the new pain relief formula is lesspotent than the drug company claims?

f) Find the P-value for the sample. Round answer to 3 decimal places. (2 pts) Support your work with ONE (1) of the following: i) Paste a picture of the Desmos calculation ii) share the link to your calculation. ifi) sketch the graph (by hand) of the desmos calculation. Desmos: https://www.desmos.com/calculator/tox4foozIf g) Does the P-value lead us to reject or fail to reject the null hypothesis? Explain your reasoning. (2 pts) h) Write your conclusion in the context of the problem. (hint: tell the story) (2 pts) i) Is it possible that this conclusion is not correct? If so, what type of error could have occurred? (2 pts)