A technician compares repair costs for two types of microwave ovens (type I and type II). He believes that the repair cost for type I ovens is greater than the repair cost for type II ovens. A sample of 58 type I ovens has a mean repair cost of $86.94, with a standard deviation of $13.05. A sample of 50 type II ovens has a mean repair cost of $83.20, with a standard deviation of $16.36. Conduct a hypothesis test of the technician's claim at the 0.05 level of significance. Let μ1 be the true mean repair cost for type I ovens and μ2 be the true mean repair cost for type II ovens. Step 1 of 4 : State the null and alternative hypotheses for the test.

Needs to schedule the staffing of the center. it is open from 8am until midnight. larry has monitored the usage of the center at various times of the day and determined that the following number of computer consultants are required: time of dayminimum number of consultants required to be on duty8 am-noon4noon-4 pm84pm-8pm108pm-midnight6 two types of computer consultants can be hired: full-time and part-time. the full- time consultants work for eight consecutive hours in any of the shifts: morning (8am- 4pm), afternoon (noon-8pm) and evening (4pm-midnight). full-time consultants are paid $14 per hour. part-time consultants can be hired to work any of the four shifts listed in the table. part-time consultants are paid $12 per hour. an additional requirement is that during every time period, there must be at least two full-time consultants on duty for every part-time consultant on duty. larry would like to determine how many full-time and part-time consultants should work each shift to meet the above requirements at the minimum possible cost. formulate this as an lp problem. you must define your variables clearly

Why entrepreneurs start businesses. a) monopolistic competition b) perfect competition c) sole proprietorship d) profit motive

After hearing a knock at your front door, you are surprised to see the prize patrol from a large, well-known magazine subscription company. it has arrived with the good news that you are the big winner, having won $21 million. you have three options.(a) receive $1.05 million per year for the next 20 years.(b) have $8.25 million today.(c) have $2.25 million today and receive $750,000 for each of the next 20 years.your financial adviser tells you that it is reasonable to expect to earn 13 percent on investments.