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A simple random sample of 120 clocks yields nine clocks with errors in assembly.
a. Compute the 99% confidence interval for the proportion of clocks with errors in assembly.
b. Interpret this confidence interval.
c. How large a sample size will need to be selected if we wish to have a 99% confidence interval that is accurate to within 1.5%?
A presidential candidate's aide estimates that, among all college students, the proportion p who intend to vote in the upcoming election is at most 65%.
Conduct a hypothesis test for each sample at the 0.01 level of significance and determine what action, if any should be taken.
Compute the optimal production quantities for the company?
What units represent the margin of error? Suppose you want to decrease the margin of error, but want to keep the 95% confidence interval. What do you need to do?
A high school counselor is interested in the percentage of students who will be going to college. She randomly picks 60 students and finds that 53 will be going to college. Use a 95% confidence level to find the population proportion.
Which is more likely to occur-more than 60% correct identifications in the sample of 200 or more than 55% correct identifications in a sample of 1,000? Explain.
Validity is more critical to measurement than reliability. A valid measurement is reliable, but a reliable measurement may not be valid.
Based on these results, is there significant difference between attitudes for males and for females? Use two tailed test with alpha = .05.
One of 4 bus drivers is also arbitarily selected. Let Y denote number of students on his bus. Caculate expectations of X and Y: E(X)=?
What is an estimate of the proportion defective for the piston manufacturing process when it is control? Construct a p chart for the manufacturing process, assuming each sample has 200 pistons.
Now make a scatter plot of data from 1982 to 1998 (again, use years since 1800). Determine a linear, power, or exponential model that explains the crude oil production during this time period.
Consider the formula used for any confidence interval and the elements included in that formula. What happens to the confidence interval if you (a) increase the confidence level, (b) increase the sample size, or (c) increase the original sample st..
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