### MATH 1308 Q10

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1. A confidence interval is used when estimating sample data from population data.

2. Given: A box contains a large number of red and blue marbles, but the proportions are unknown. 100 marbles are drawn at random, and 40 turn out to be red. The SE% turns out to be 5%. True or False: The percentage of red marbles in the box can be estimated as 40%; the SE% is 5%.

3. Given: A box contains a large number of red and blue marbles, but the proportions are unknown. 100 marbles are drawn at random, and 40 turn out to be red. The SE% turns out to be 5%. True or False: The 95% confidence interval for the percentage of red marbles in the sample is 30% to 50%.

4. Given: A box contains a large number of red and blue marbles, but the proportions are unknown. 100 marbles are drawn at random, and 40 turn out to be red. The SE% turns out to be 5%. True or False: The 5% measures the likely size of the chance error in the 40%.

5. For cluster samples, in order to find the standard error, we use the Half-Sample method.

6. For a cluster sample, the estimates of the halves came in at 58.75 and 58.35. Find the Standard Error.

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