Suppose that a candy company packages a bag of jelly beans whose weight is supposed to be 30 grams, but in fact, the weight varies from bag to bag according to a normal distribution with mean μ = 30 grams and standard deviation σ = 3 grams. If the company sells the jelly beans in packs of 9 bags, what can we say about the likelihood that the average weight of the bags in a randomly selected pack is 2 or more grams lighter than advertised?

Shareholders of tesla recently expressed concerns that elon musk should give up some of his power on tesla's board by appointing two independent directors. which of the following is not a reason why elon musk is perceived to have significant power over tesla's board? 1. he is the founder of the firm and a successful entrepreneur, thus board members may be hesitant to challenge him.2. as the ceo and chairman of the firm he can easily determine what the board should discuss and how it should vote on strategic issues.3. all board members, except for kimbal, have been appointed to the board during elon's tenure.4. many of the firm's directors are outsider investment managers whose interests would not be aligned with those of firms' shareholders.

Consider each of the following cases: case accounting break-even unit price unit variable cost fixed costs depreciation 1 127,400 $ 38 $ 25 $ 711,000 ? 2 124,000 ? 41 2,500,000 $ 900,000 3 5,753 117 ? 171,000 100,000 required: (a) find the depreciation for case 1. (do not round your intermediate calculations.) (b) find the unit price for case 2. (do not round your intermediate calculations.) (c) find the unit variable cost for case 3. (do not round your intermediate calculations.)

Reliability and validity reliability and validity are two important considerations that must be made with any type of data collection. reliability refers to the ability to consistently produce a given result. in the context of psychological research, this would mean that any instruments or tools used to collect data do so in consistent, reproducible ways. unfortunately, being consistent in measurement does not necessarily mean that you have measured something correctly. to illustrate this concept, consider a kitchen scale that would be used to measure the weight of cereal that you eat in the morning. if the scale is not properly calibrated, it may consistently under- or overestimate the amount of cereal that’s being measured. while the scale is highly reliable in producing consistent results (e. g., the same amount of cereal poured onto the scale produces the same reading each time), those results are incorrect. this is where validity comes into play. validity refers to the extent to which a given instrument or tool accurately measures what it’s supposed to measure. while any valid measure is by necessity reliable, the reverse is not necessarily true. researchers strive to use instruments that are both highly reliable and valid.