1.At a particular setting, an oxygen-acetylene welding unit is supposed to
attain a temperature deviate of 4500℉.Should the operating temperature
deviate to greatly, then the unit must be serviced. Because of measurement error and the inherent imprecision of the valves, a number of independent test measurements must be taken. Experience has shown the measurements to be normally distributed with standard deviation 270℉. If five test measurements are to be taken, find a two-sided critical region of size α = 0.05 to test
the hypothesis Ho : μ = 4500 using the test statistic Z. Do the five measurements (4755, 4862, 4789, 4810, and 4790) result in rejection of the null hypothesis ? (10 point) Find the P value (5 point)
2. 2. Suppose an upper one-tailed t test is to be applied at level α = 0.05
with n =16 . If x - μ0 = 2 , what is the maximum standard deviation that will
result in rejection of the null hypothesis ? (10 point)
attain a temperature deviate of 4500℉.Should the operating temperature
deviate to greatly, then the unit must be serviced. Because of measurement error and the inherent imprecision of the valves, a number of independent test measurements must be taken. Experience has shown the measurements to be normally distributed with standard deviation 270℉. If five test measurements are to be taken, find a two-sided critical region of size α = 0.05 to test
the hypothesis Ho : μ = 4500 using the test statistic Z. Do the five measurements (4755, 4862, 4789, 4810, and 4790) result in rejection of the null hypothesis ? (10 point) Find the P value (5 point)
2. 2. Suppose an upper one-tailed t test is to be applied at level α = 0.05
with n =16 . If x - μ0 = 2 , what is the maximum standard deviation that will
result in rejection of the null hypothesis ? (10 point)
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