The country has entered a period of economic growth, but prices are rising too rapidly. to stabilize prices, the federal reserve decides to

Acompany is developing a new high­performance wax for cross country ski racing. in order to justify the price marketingwants, the wax needs to be very fast. specifically, the mean time to finish their standard test course should be less thanseconds for a former olympic champion. to test it, the champion will ski the course 8 times. the champion's times(selected at random) are 59.9 61.9 48.8 52.2 46.6 45.3 50.6 and 41.1 seconds to complete the test course. complete parts a and b below. a) should they market the wax? assume the assumptions and conditions for appropriate hypothesis testing are metfor the sample. assume=0.05. what are the null and alternative hypotheses? choose the correct answer below. b) suppose they decide not to market the wax after the test, but it turns out that the wax really does lower the champion'saverage time to less thanseconds. what kind of error have they made? explain the impact to the company of such anerror.

Information on gerken power co., is shown below. assume the company’s tax rate is 40 percent. debt: 9,400 8.4 percent coupon bonds outstanding, $1,000 par value, 21 years to maturity, selling for 100.5 percent of par; the bonds make semiannual payments. common stock: 219,000 shares outstanding, selling for $83.90 per share; beta is 1.24. preferred stock: 12,900 shares of 5.95 percent preferred stock outstanding, currently selling for $97.10 per share. market: 7.2 percent market risk premium and 5 percent risk-free rate. required: calculate the company's wacc. (do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e. g., 32.16.) wacc %

Describe three scenarios in which you might utilize mathematics to investigate a crime scene, accident scene, or to make decisions involving police practice. be sure to explain how math is used in police as they work through each scenario.