Stainless steels are frequently used in chemical plants to handle corrosive fluids, however, these steels are especially susceptible to stress corrosion cracking in certain environments. in a sample of 295 steel alloy failures that occurred in oil refineries and petrochemical plants in japan over the last 10 tears, 118 were caused by stress corrosion cracking and corrosion fatigue (materials performance, 1981). construct a 95% confidence interval for the true proportion of alloy failures caused by stress corrosion cracking.

95% confidence interval would be (0.344,0.456).

Step-by-step explanation:

Since we have given that

n = 295

x = 118

so,

At 95% confidence, z = 1.96

So, margin of error would be

so, 95% confidence interval would be

Hence, 95% confidence interval would be (0.344,0.456).

lk; kjuiihijhniuhn

step-by-step explanation:

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.