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1. [6 marks] An experiment was conducted to determine how effective cigarette filters were in reducing tar delivery. Fifty filtered and forty unfiltered cigarettes of a particular brand were randomly selected and smoked on a smoking machine with the following results: Filtered (F) Unfiltered (U) Number of subjects nF = 50 nu = 40 Sample mean tar delivery per cigarette (mg) IF = 6.1 TU = 7.5 Sample standard deviation of tar delivery per cigarette (mg) SF = 2.3 SU = 3.6 Complete the following to construct 95% confidence interval for the amount by which true mean tar delivery of unfiltered cigarettes exceeds that of filtered cigarettes of the particular brand. Parameter of interest: Degrees of freedom (Show your calculations. If using R, express the answer to 5 decimal places. Otherwise, round appro- priately to use the t table): Standard error (to 5 decimal places): Critical value t*: Confidence interval (use at least 3 decimal places): Conclusion