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1) The proportion of parts in an inventory that are outdated and no longer useful is thought to be 0.10. To check this, a random sample of n = 100 parts is selected and 14 are found to be outdated. Based upon this information, what is the probability of 14 or more outdated parts?2) From a sample of 90 people, 30% disagreed with a statement.
a) Construct a 95% confidence interval for the proportion of people agreeing with the statement.
b) Construct a 95% confidence interval for the proportion of people disagreeing with the statement.
c) Compare the lengths of the confidence intervals in parts a) and b).3) A random sample of size 20 revealed 12 respondents in favor of a proposal. Test the hypothesis that the proportion in favor differs from .52 using a 5% significance level.4) Construct a 90% confidence interval for the difference of two population proportions using x1 = 38, n1 = 50, and x2 = 45, n2 = 50.
Due to a manufacturing error, three cans of diet soda were accidentally filled with regular soda and placed into a 12-pack. Two cans are randomly selected from the case.
Test the instructor claim at a 5% level of significance
Find the Type II error value.
The base of a rectangle lies on the -axis, while the upper two vertices lie on the parabola . Suppose that the coordinates of the upper right vertex of the rectangle are . Express the area of the rectangle as a function of .
Highway engineers design a parabolic curve for an entrance ramp from a straight street to an interstate highway . The vertex of the curve passes through (0, 0) and the parabola passes through (1000, + 800). Find an equation for the parabola.
write the expression in terms of a single trigonometric functioncos 3x4 cos x4 sin3x4
The number of miles driven each day for a five-day trip. Let an ordered pair be given in the form (day, miles).
Find the length of the field, to the nearest tenth, that will give the entire field a maximum area if 414 m of fencing is available.
Students receive scores rounded to the nearest 10. What is the interval of student scores that lie within one standard deviation of the mean?
Suppose that Al, Betty and Karl are dividing a half- cheese and half- pepperoni pizza. They use the lone shoose method. Betty is the chhoser and Karl and Al are thedividers.
It travels 360 mi going downstream in the same amount of time. What is the rate of the boat in still water and what is the rate of the current?
a bag of marbles can be shared equally among 3,4,5 students with none left over. What is the least amount of marbles that can be in the bag?
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