The lifetime of lightbulbs has a mean of 1500 hours and a standard deviation of 175 hours. A sample of 40 lightbulbs is tested. What is the probability that he sample mean life lifetime is between 1490 and 1596 hours? If there are two answers, list both answers separated by a comma.
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- Sarah studies Business and Management and she also has a part-time job as a waitress at a restaurant. The restaurant does not include service charges in their bills, and therefore Sarah often receives tips from the customers. Some customers give her very generous tips, while others leave hardly anything or nothing at all. Sarah began to wonder what the size of the tip may depend on. Just out of curiosity, she started to keep a record of the total prices on the bills and the tips she received. At first, she fit a simple linear regression model to the data and found that the size of the tip was significantly related to the total price. But at this point, she speculated that the tips may be affected by other factors as well, and an even better model could possibly be constructed by including further independent variables. For instance, the chef who prepares the dish(es) might affect the customers' satisfaction. The restaurant employs three chefs: Richard, Thomas, and Linda. Sarah decides…The research department at a manufacturing company has developed a new process that it believes will result in an improved product. Management must decide whether to go ahead and market the new product. The new product may or may not be better than the old one. If the new product is better and the company decides to market it, sales should increase by $70,000. If it is not better and they replace the old product with the new product on the market, they will lose $25,000 to competitors. If they decide not to market the new product, they will lose a total of $60,000 if it is better and just research costs of $20,000 if it is not. Complete parts (a) and (b) below. (a) Prepare a payoff matrix. □ (Type an integer or decimal for each matrix element. Do not include the $ symbol in your answer.)ou are thinking of making your home more energy efficient by replacing some of the light bulbs with compact fluorescent bulbs and insulating part or all of your exterior walls. Each compact fluorescent light bulb costs $4 and saves you an average of $2 per year in energy costs, and each square foot of wall insulation costs $1 and saves you an average of $0.20 per year in energy costs.+ Your home has 40 light fittings and 1,300 square feet of uninsulated exterior wall. You can spend no more than $1,400 and would like to save as much per year in energy costs as possible. How many compact fluorescent light bulbs and how many square feet of insulation should you purchase? (If an answer does not exist, enter DNE.) compact fluorescent light bulbs
- The amount of contaminants that are allowed in food products is determined by the FDA (Food and Drug Administration). Common contaminants in cow milk include feces, blood, hormones, and antibiotics. Suppose you work for the FDA and are told that the current amount of somatic cells (common name "pus") in 1 cc of cow milk is currently 750,000 (note: this is the actual allowed amount in the US!). You are also told the standard deviation is 62000 cells. The FDA then tasks you with checking to see if this is accurate. You collect a random sample of 45 specimens (1 cc each) which results in a sample mean of 762004 pus cells. Use this sample data to create a sampling distribution. Assume that the population mean is equal to the FDA's legal limit and see what the probability is for getting your random sample. a. Why is the sampling distribution approximately normal? b. What is the mean of the sampling distribution? c. What is the standard deviation of the sampling distribution? d. Assuming…Alphonse donates a fair amount of money to various charities each year. He wants to know that his money is actually going to do the charity work, though. Suppose that 90% of the charities that he donates to are probably reputable and 10% are probably not. Also, suppose that 80% of the money that goes to the real charities ends up actually being used for the charity work, while 20% goes to administrative costs. If he donates the same amount to each charity, then what percent probably goes to actual charity work? 72| % SUBMIT ANSWER O ASK FOR HELP TURN IT IN to search 344 111 80 Y U D H. VThe River is a literary magazine published by the English Department at Tech. It has a 70-year history and enjoys an excellent reputation for providing a literary outlet for aspiring Appalachian writers in particular. However, its sales, mostly through independent bookstores and college libraries, have never been very large. Several years ago, the magazine’s advisory board decided to create a Web site and post the bi-monthly issues online for free access. Due to poor economic conditions and state budget cuts, Tech recently withdrew funding for the magazine, and in order to make up for this financial loss, the magazine’s staff has decided to try to sell advertising (especially to local and regional businesses) on the magazine’s Web site. In order to sell advertising, the magazine’s staff would like to be able to provide potential advertisers with a forecast of the number of “visits” the Web site might receive in future months. Following is the number of monthly visits the Web site has…
- For the remainder of this question, we will consider one of the world's most popular video games, Minecraft (adapted from Mills & Mills, 2016). In this game, the character (you) can attempt to tame a wolf with a bone. Assume that you get 9 tries to tame the wolf, i.e. there are 9 bones. Each time you tame the wolf, the wolf becomes a dog and a new wolf appears which you can then attempt to also tame. This continues until you have used up all 9 bones, and the goal is to end up with as many dogs as possible at the end of the game. The probability of taming the wolf with each attempt is fixed at 0.54. Let X denote the number of dogs at the end of the game so that X BIN (9,0.54). Assume you are about to play the game. 12. What is the probability you will tame less than 4 dogs?Please answer ASAPGiovanni Food Products produces and sells frozen pizzas to public schools throughout the eastern United States. Using a very aggressive marketing strategy they have been able to increase their annual revenue by approximately $10 million over the past 10 years. But increased competition has slowed their growth rate in the past few years. The annual revenue, in millions of dollars, for the previous 10 years is contained in the Excel Online file below. Construct a spreadsheet to answer the following questions.
- Identify two problems with the following question. Explain how you would rewrite it so that it is more appropriate.given that youth crime is on the rise in urban areas, what should be the top enforcement priority for our local police force? which one is correct answer? 1.youth crime 2.car theft 3.illegal drug use 4.violent crimeIf a company issues common stock for $48800 and uses $36600 of the cash to purchase a truck, O assets will be increased by $12200. O equity will be reduced by $48800. O assets will be unchanged. O assets will be increased by $48800.A researcher believed that the number of rental cars in service by a car rental company would have an impact on the total annual revenue for that car rental company. Five small car rental companies were surveyed, with the number of Cars in service recorded in units of 1000 (so if a car rental company had 54000 cars in service, a 54 would be recorded) and Annual Revenue measured in millions of dollars (so an Annual Revenue of $10,000,000 would be recorded as 10). The data follows: Cars (1,000s) Annual Revenue ($ millions)11.5 118 10.0 135 9.0 100 5.5 37 3.3 32 Part of the Excel-generated Simple Linear Regression output is provided below: ANOVA df SS MS F Significance F Regression 1 7891.863897 7891.863897 22.91180151 0.017339231 Residual 3 1033.336103 344.4453677 Total 4 8925.2 Coefficients Standard Error t Stat P-value Intercept -19.12490108 23.1658578…