A school teacher is worried that the concentration of dangerous, cancer-causing radon gas in her classroom is greater than the safe level of 4pCi/L. The school samples the air for 36 days and finds an average concentration of 4.4pCi/L with a standard deviation of 1pCi/L what is / are the critical values if they use the 5% level of significanve. -2.030 and 2.030 -1.96 and 1.96 1.690 -1.690
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- The weekly salary paid to employees of a small company that supplies part-time laborers averages s800 with a standard deviation of $500. (a) If the weekly salaries are normally distributed, estimate the fraction of employees that make more than $300 per week. (b) If every employee receives a year-end bonus that adds $100 to the paycheck in the final week, how does this change the normal model for that week? (c) If every employee receives a 5% salary increase for the next year, how does the normal model change? (d) If the lowest salary is $300 and the meltian salary is $550, does a normal model appear appropriate?GeoMart sells travelers notebooks. Annual demand for these notebooks follows a Normal distribution with an average of 2,100 units and a standard deviation of 850. GeoMart buys these notebooks from its manufacturer for $ 1.50 per notebook and sells them for $ 3. There is an order waiting period of 5 weeks, which elapses from when an order is placed to the manufacturer until it is delivered to GeoMart. The accounting department estimated that the process of placing an order costs $ 2 and recommends that it be apply a 22 percent annual interest to the material for reasons of ‘holding cost’. The cost of not complying with the demand is estimated at 40 cents per unit, in addition to the loss of income (‘profit loss’), both then represent the cost of “loss of good faith” or 'Loss-of-goodwill'. (Conversion: 7 days a week, 52 weeks in a year.) Under this scenario answer the following: a) Assume that you want to minimize costs and determine: the optimal order size, the reorder point, the…Probability Possible Rate of Return 0.25 -0.10 0.15 0.00 0.35 0.10 0.25 0.25 a. Under what conditions can the standard deviation be used to measure the relative risk of two investments? b. Under what conditions must the coefficient of variation (CoVar) be used to measure the relative risk of two investments?
- For all parts of this question, assume that the log of GDP per capita is normally distributed with a mean of 8.7 and standard devistion of 1.5Step 1 of 4: If the log of the world distribution of income is normaly distributed with a mean of 8.7 and a standard deviation of 1.5, what income indollars) marks the 90th percentile? KeypadAnswer A 71.325B 1.29C 41,253D 10.63A project has a 60% chance of doubling your investment in one year and a 40% chance of losing half your money. What is the standard deviation of this investment? A. 25% B. 50% C. 62% D. 73%The average amount of debt families have is 2.5 times their annual income with a standard deviation 0.75 times their annual income. How much debt does a family have to have (relative to their annual income) to be in the top 5% with the LOWEST debt load?
- Assume that the hourly cost to operate a commercial airplane follows the normal distribution with a mean of $4,256 per hour and a standard deviation of $242. Use Appendix B.3. What is the operating cost for the lowest 4% of the airplanes? (Round your z value to 2 decimal places and final answer to the nearest whole dollar Note:- Do not provide handwritten solution. Maintain accuracy and quality in your answer. Take care of plagiarism. Answer completely. You will get up vote for sureFind the standard deviation of a series of ACT scores listed below 16, 31, 19, 32,12 The standard deviation is?________________ (Type an integer or rounded to the nearest hundredth as needed)P06_35.xlsx Shoe demand distribution Demand (100s of pairs) Probability 1 0.025 2 0.050 3 0.075 4 0.100 5 0.150 6 0.200 7 0.175 8 0.100 9 0.075 10 0.050 A buyer for a large department store chain must place orders with an athletic shoe manufacturer six months prior to the time the shoes will be sold in the department stores. The buyer must decide on November 1 how many pairs of the manufacturer’s newest model of tennis shoes to order for sale during the coming summer season. Assume that each pair of this new brand of tennis shoes costs the department store chain $65 per pair. Furthermore, assume that each pair of these shoes can then be sold to the chain’s customers for $90 per pair. Any pairs of these shoes remaining unsold at the end of the summer season will be sold in a closeout sale next fall for $20 each. The probability distribution of consumer demand for these tennis shoes during the coming…
- I am in possession of two coins. One is fair so that it lands heads (H) and tails (T)with equal probability while the other coin is weighted so that it always lands H. Bothcoins are magical: if either is flipped and lands H then a $1 bill appears in your wallet,but when it lands T nothing happens. You may only flip a coin once per period. Theinterest rate is i per period. You are risk-neutral and thus only concern yourself withexpected values (and not variance). For simplicity, in the questions below assumeyou will live forever.1. How much are you willing to pay for such a coin that you know is fair? 2. How much are you willing to pay for such a coin that you know is weighted? 3. I currently own the coins and know which is fair and which is weighted, but youcannot tell which is which. You may make an offer to purchase a coin of yourchoosing, which I am free to accept or reject. What is the most you are willingto offer? Explain how you arrived at this answer.15 Demand for residential electricity at a certain time period in Hamilton County is normally distributed with a mean of μ = 5595 megawatts (MW) and a standard deviation of σ = 405 MW Due to scheduled maintenance and unexpected system failures in a generating station, the utility company can supply a maximum of x = 6200 MW The probability that the utility will have to purchase electricity from other utilities or allow brownouts is ______. 0.0974 0.0811 0.0676 0.0563A major credit card company has determined that the amount its customers charge on their accounts is normally distributed with an average of R2800 per month and a standard deviation of R200.What proportion of customers charge more than R2750 per month on their account (rounded off to three decimals)?