According to a large survey in north america, europe and japan, up to two-thirds of experience insomnia and wake up off and on through the night on a regular basis.

Sodas in a can are supposed to contain an average of 12 ounces. this particular brand has a standard deviation of 0.1 ounces, with an average of 12.1 ounces. if the can's contents follow a normal distribution, what is the probability that the mean contents of a six pack are less than 12 ounces?

Precision dyes is analyzing two machines to determine which one it should purchase. the company requires a rate of return of 15 percent and uses straight-line depreciation to a zero book value over the life of its equipment. ignore bonus depreciation. machine a has a cost of $462,000, annual aftertax cash outflows of $46,200, and a four-year life. machine b costs $898,000, has annual aftertax cash outflows of $16,500, and has a seven-year life. whichever machine is purchased will be replaced at the end of its useful life. which machine should the company purchase and how much less is that machine's eac as compared to the other machine's

Acompany that makes shopping carts for supermarkets and other stores recently purchased some new equipment that reduces the labor content of the jobs needed to produce the shopping carts. prior to buying the new equipment, the company used 6 workers, who produced an average of 79 carts per hour. workers receive $16 per hour, and machine coast was $49 per hour. with the new equipment, it was possible to transfer one of the workers to another department, and equipment cost increased by $11 per hour while output increased by four carts per hour. a) compute the multifactor productivity (mfp) (labor plus equipment) under the prior to buying the new equipment. the mfp (carts/$) = (round to 4 decimal places). b) compute the productivity changes between the prior to and after buying the new equipment. the productivity growth = % (round to 2 decimal places)