How much does a sleeping bag cost? let's say you want a sleeping bag that should keep you warm in temperatures from 20°f to 45°f. a random sample of prices ($) for sleeping bags in this temperature range is given below. assume that the population of x values has an approximately normal distribution.60 110 75 35 90 55 30 23 100 110 105 95 105 60 110 120 95 90 60 70
(a) use a calculator with mean and sample standard deviation keys to find the sample mean price x and sample standard deviation s. (round your answers to two decimal places.)
(b) using the given data as representative of the population of prices of all summer sleeping bags, find a 90% confidence interval for the mean price μ of all summer sleeping bags. (round your answers to two decimal places.)

Your company is starting a new r& d initiative: a development of a new drug that dramatically reduces the addiction to smoking. the expert team estimates the probability of developing the drug succesfully at 60% and a chance of losing the investment of 40%. if the project is successful, your company would earn profits (after deducting the investment) of 9,000 (thousand usd). if the development is unsuccessful, the whole investment will be lost -1,000 (thousand usd). your company's risk preference is given by the expected utility function: u(x) v1000 +x, where x is the monetary outcome of a project. calculate the expected profit of the project . calculate the expected utility of the project . find the certainty equivalent of this r& d initiative . find the risk premium of this r& d initiative e is the company risk-averse, risk-loving or risk-neutral? why do you think so?