It is desired to check the calibration of a scale by weighing a standard 10 g weight 100 times. Let be the population mean reading on the scale, so that the scale is in calibration if = 10. A test is made of the hypotheses H0 : = 10 versus H1 : = 10. Consider three possible conclusions: (i) The scale is in calibration. (ii) The scale is out of calibration. (iii) The scale might be in calibration. a. Which of the three conclusions is best if H0 is rejected? b. Which of the three conclusions is best if H0 is not rejected? c. Is it possible to perform a hypothesis test in a way that makes it possible to demonstrate conclusively that the scale is in calibration? Explain.

1)A car can travel 300 miles in the same amount of time it takes a bus to travel 180 miles.If the rate of the bus is 20 miles per hour slower than the rate of the car,ﬁnd the average rate for each. 2)A pool can be ﬁlled by one pipe in 6 hours and by a second pipe in 12 hours.How long will it take using both pipes to ﬁll the pool 1) DirectVariation :Both variables change in the same direction at the same time (either both increasing,or both decreasing). The formula is written as a straight,direct line : ex - "amount of time spent studying and exam grade" 2) InverseVariation :As one variable increases,the other one decreases,or vice versa. The formula is written as a fraction: ex - "amount of time spent studying and amount of time spent watching tv" 3) Com