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Two teams of workers assemble automobile engines at a manufacturing plant in Michigan. Quality control personnel inspect a random sample of the teams' assemblies and judge each assembly to be acceptable or unacceptable. A random sample of 127 assemblies from team 1 shows 12 unacceptable assemblies. A similar random sample of 98 assemblies from team 2 shows 5 unacceptable assemblies.
a. Find a 95% confidence interval for the difference between the proportions of unacceptable assemblies from the two teams.
b. Based on the confidence interval found in part a, is there sufficient evidence to conclude, at the 5% significance level, that the two teams differ with respect to their proportions of unacceptable assemblies?
c. For which values of the difference between these two sample proportions could you conclude that a statistically significant difference exists at the 5% level?
The following table shows the hardness (in Brinell hardness numbers) and the tensile strength (in thousands of pounds per square inch) of ten specimens of a certain alloy.
What purpose does a multiple regression analysis serve? Give an example of how it might be used in marketing research.
Do the data indicate a significant difference between the frequency distributions for male and females? Test at the .05 level of significance and describe the difference.
Use the results obtained for the data of Example 9 and the result of part (b) of Exercise 40 to construct 99% limits of prediction for the sales price of a three-bedroom house with two baths in the given housing development.
one type of passenger airplane has four engines but it can still fly with only one. suppose each engine has probability
In 2004, the Internal Revenue Service received 312,226,042 individual tax returns. Of these, 12,757,005 reported an adjusted gross income of at least $100,000, and 240,128 reported at least $1 million.27 If you know that a randomly chosen return s..
As long as there is either an upward or downward trend in the data, will a k-period moving average have a smaller mean square error than a moving average obtained with k+1 periods? Why or why not?
if one of the pedestrians death is randomly selected what is the probability that it involves an intoxicated pedestrian and an intoxicated driver?
suppose that from the past experience a professor knows that the test score of a student taking his final examination
Based on the first 113 missions, and assuming failures occur at the same rate, consider the next 23 missions. What is the probability of exactly two failures? What is the probability of no failures?
Even when the economy is holding steady, the unemployment rate tends to fluctuate because of seasonal effects. For example, unemployment generally goes up in Quarter 3 (summer) as students (including new graduates) enter the labor market.
Five digit random numbers (e.g.; 601, 022, 448...), determine the first four elements that will be selected for the simple random sample.
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