Problem #4: Students with the last name of P-T: Please review Section 8.4. Answer all questions showing work for each, and rounding to the nearest integer. If the manager of a bottled water distributor wants to estimate, with 95% confidence, the mean amount of water in a 1-gallon bottle to within +0.006 gallons and also assumes that the standard deviation is 0.03 gallons, what sample size is needed? n = ( Round up to the nearest integer.) If a light bulb manufacturing company wants to estimate, with 95% confidence, the mean life of compact fluorescent light bulbs to within +250 hours and also assumes that the population standard deviation is 900 hours, how many compact fluorescent light bulbs need to be selected? n = (Round up to the nearest integer.) If the inspection division of a county weights and measures department wants to estimate the mean amount of soft drink fill in 2-liter bottles to within +0.01 liter with 95% confidence and also assumes that the standard deviation is 0.08 liters, what sample size is needed? n = _ (Round up to the nearest integer.) An advertising executive wants to estimate the mean amount of time that consumers spend with digital media daily. From past studies, the standard deviation is estimated as 52 minutes. What sample size is needed if the executive wants to be 95% confident of being correct to within 15 minutes? (Round up to the nearest integer.)