Two machines are used for filling glass bottles with a soft-drink beverage. the filling processes have known standard deviations liter and liter, respectively. a random sample of bottles from machine 1 and bottles from machine 2 results in average net contents of liters and liters. (a) test the hypothesis that both machines fill to the same net contents, using what are your conclusions? (b) find the p-value for this test. (c) construct a 95% confidence interval on the difference in mean fill volume.

He graph of f(x) = |x| is stretched by a factor of 0.3 and translated down 4 units. which statement about the domain and range of each function is correct? the range of the transformed function and the parent function are both all real numbers greater than or equal to 4. the domain of the transformed function is all real numbers and is, therefore, different from that of the parent function. the range of the transformed function is all real numbers greater than or equal to 0 and is, therefore, different from that of the parent function. the domain of the transformed function and the parent function are both all real numbers.

20 ! jason orders a data set from least to greatest. complete the sentence by selecting the correct word from each drop-down menu. the middle value of the data set is a measure and is called the part a: center b: spread part b: mean a: mean absolute deviation b: median c: range

If f(x) = 3x-2 and g(x) =2x+1 find (f-g)(x)