4. a soft-drink company produces 100,000 12-ounce bottles of soda per year. by adjusting a dial, the company can set the mean number of ounces placed in a bottle. regardless of the mean, the standard deviation of the number of ounces in a bottle is 0.05 ounces. the soda costs 5 cents per ounce. any bottle weighing less than 12 ounces will incur a fine of $10 for being underweight. determine a setting for the mean number of ounces per soda bottle that minimizes the expected cost per year of producing the soft drink. your answer should be accurate to within .001 ounce. to set up your spreadsheet in order to find the required probability and the expected cost, use an initial value for the mean to be 12.1 ounces. once you get this done, then try the following values for mean: 12.185; 12.186; 12.187; 12.188; 12.189; 12.190; 12.191; 12.192; 12.193; 12.194; 12.195 and 12.196. which of these mean values gives you the smallest expected cost subject to the requirement that the answer should be accurate to within .001 ounce?

Question 1(multiple choice worth 1 points)(07.06 mc)a group of students must collect at least $150 to organize a science fair. they have already collected $30. which graph best represents all remaining amounts of money, in dollars, that thestudents should still collect to organize the science fair? -210 -180 -150 - 120 -90-60 -300306090 120 150 180 210-210 -180 -150 - 120 -90 -60 -30 0 30 60 90 120 150 180 210-210 -180-150 - 120 -90-60-300 30 60 90 120 150 180 210-210 -180 -150 - 120.90 -60 -30 0 30 60 90 120 150 180 210

Describe in detail how you would construct a 95% confidence interval for a set of 30 data points whose mean is 20 and population standard deviation is 3. be sure to show that you know the formula and how to plug into it. also, clearly state the margin of error.

In a test for esp (extrasensory perception), the experimenter looks at cards that are hidden from the subject. each card contains either a star, a circle, a wave, a cross or a square.(five shapes) as the experimenter looks at each of 20 cards in turn, the subject names the shape on the card. when the esp study described above discovers a subject whose performance appears to be better than guessing, the study continues at greater length. the experimenter looks at many cards bearing one of five shapes (star, square, circle, wave, and cross) in an order determined by random numbers. the subject cannot see the experimenter as he looks at each card in turn, in order to avoid any possible nonverbal clues. the answers of a subject who does not have esp should be independent observations, each with probability 1/5 of success. we record 1000 attempts. which of the following assumptions must be met in order to solve this problem? it's reasonable to assume normality 0.8(1000), 0.2(1000)%30 approximately normal 0.8(1000), 0.2(1000)% 10 approximately normal srs it is reasonable to assume the total number of cards is over 10,000 it is reasonable to assume the total number of cards is over 1000