7. (10 pts) The data below is the measured nicotine contents of randomly selected filtered and unfiltered cigarettes in milligrams. Assume that data were collected from normally distributed population. Test the claim that the mean amount of nicotine in filtered cigarettes is equal to the mean amount of nicotine in unfiltered cigarettes. Filtered: 1.2 1.3 1.1 1.1 1.0 0.1 1.1 10 0.8 10 0.9 0.8 10 1.0 1.0 0.9 1 2 1.1 1.2 0.9 Unfiltered: 1.6 1.9 1.6 1.8 1.7 1.7 1.4 1.5 a. State the claim statement in sentence. b. State the null and alternative hypothesis. c. Find the sample mean and sample standard deviation. Verify the requirements for hypothesis testing. d. Find the P-value. Determine whether reject or not reject null hypothesis. e. State the conclusion in sentence