Asimple random sample of size n is drawn from a population that is normally distributed. the sample mean, x-bar, is found to be 108, and the sample standard deviation, s, is found to be 17. construct a 95% confidence interval for μ if the sample size, n, is 81. hint: calculate e and round to 1 decimal place. then construct the interval by putting parenthesis around the lower bound and upper bound separated by a comma).

After the price floor is instituted, the chairman of productions office buys up any barrels of gosum berries that the producers are not able to sell. with the price floor, the producers sell 300 barrels per month to consumers, but the producers, at this high price floor, produce 700 barrels per month. how much producer surplus is created with the price floor? show your calculations.

1. revising for conciseness - eliminating flabby expressions,limiting long lead-ins, and dropping unnecessary fillerstime is money in any business environment. people want information communicated quickly and clearly. to make your writing more concise and understandable, avoid flabby expressions, long lead-ins, and unnecessary fillers. your audience will appreciate your brevity.1. if your writing contains a flabby expression like in view of the fact that, replace it with the word because / although / probably .for each of the following two sentences, choose the best revision.2. i am sending you this letter to inform you that we have experienced an unexpected surprise within our expense sheet, but we are positively certain we will solve it.1) we need to inform you that we have experienced an unexpected surprise with our expense sheet, but we are midway to an end result.2) we have identified a problem with our expense sheet, but we will solve it.3) i am sending you this letter to inform you that we have a problem with our expense sheet, but we are positively certain we have a solution.3. it is the user who should contact the center.1) everyone knows that it is the user who should contact the center.2) the user should contact the center.3) if there is a problem, the user should contact the center.read the following passage, and then answer the question.[1] you scheduled seven conference calls for this morning between 10 and 11 a.m. [2] generally, the company limits the number of conference calls to three per hour. [3] i’m letting you know that in the future, we should be more careful about scheduling.4. which revision limits the long lead-in in sentence 3? 1) in the future, we should be more careful about scheduling.2) i’m letting you know so that in the future we are more careful about scheduling calls.3) so that you know in the future, we should be more careful about scheduling.

David consumes two things: gasoline (q 1) and bread (q 2). david's utility function is u(q 1, q 2)equals70q 1 superscript 0.5 baseline q 2 superscript 0.5. let the price of gasoline be p 1, the price of bread be p 2, and income be y. derive david's demand curve for gasoline. david's demand for gasoline is q 1equals nothing. (properly format your expression using the tools in the palette. hover over tools to see keyboard shortcuts. e.g., a subscript can be created with the _ character.)