An engineer designed a valve that will regulate water pressure on an automobile engine. the engineer designed the valve such that it would produce a mean pressure of 5.9 pounds/square inch. it is believed that the valve performs above the specifications. the valve was tested on 24 engines and the mean pressure was 6.1 pounds/square inch with a standard deviation of 1.0. a level of significance of 0.05 will be used. assume the population distribution is approximately normal. make the decision to reject or fail to reject the null hypothesis.

Paula makes stained-glass windows and sells them to boutique stores. if her costs total $12,000 per year plus $4 per window for the frame. how many windows must she produce to earn a profit of at least $48,000 in one year if she sells the windows for $28 each? 1. define a variable for the situation. 2. write an inequality that represents her profit. note: revenue is money coming in. cost is money going out. profit is the difference between the revenue and the cost. in other words: revenue - costs profit 3.using words, describe how many windows she must sell to have a profit of at least $48,000.