The horizontal viewing angle is the angle subtended by a straight line from each side of the screen to the seating position. THX Ltd., is a company founded in 1983 by George Lucas that develops audio/visual reproduction standards for movie theaters. According to THX, the viewing angle in a theater should be no less than 26 degrees and the best viewing angle seems to be around 45-50 degrees and towards the center. Suppose seat G11 has a horizontal viewing angle of 45°. This would be considered the best seat in the theater. 3. What is the measure of the arc the screen subtends? 4. If seats G8-G14 have been taken, where else could you sit that would provide a viewing angle of 45°? Explain.​

Abottled water distributor wants to estimate the amount of water contained in 1-gallon bottles purchased from a nationally known water bottling company. the water bottling company’s specifications state that the standard deviation of the amount of water is equal to 0.02 gallon. a random sample of 50 bottles is selected, and the sample mean amount of water per 1-gallon bottle is 0.995 gallon a. construct a 99% confidence interval estimate for the popula-tion mean amount of water included in a 1-gallon bottle. b. on the basis of these results, do you think that the distributor has a right to complain to the water bottling company? why? c. must you assume that the population amount of water per bottle is normally distributed here? explain. d. construct a 95% confidence interval estimate. how does this change your answer to (b)?