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a. In constructing 90% confidence intervals for means, what do we expect will be

ID: 3058209 • Letter: A

Question

a. In constructing 90% confidence intervals for means, what do we expect will be true over the long run? (select all that apply; you have two attempts) O 10% of the time, the population mean will fall outside the confidence interval. O 90% of the time, the population mean will fall inside the confidence interval. 10% of the time, the population mean will fall inside the confidence interval 90% of the time, the population mean will fall outside the confidence interval b. In constructing 98% confidence intervals for means, what do we expect will be true over the long run? (select all that apply; you have three attempts) (Hint: Drawing a diagram of a confidence interval and considering scenarios in which the population mean is inside or outside the interval might help.) 2% of the time, the difference between the sample mean and population mean will be less than the margin of error. 2% of the time, the difference between the sample mean and population mean will be greater than the margin of error 98% of the time, the sample mean and the population mean will be exactly equal to each other. 98% of the time, the difference between the sample mean and population mean will be less than the margin of erro 98% of the time, the difference between the sample mean and population mean will be more than the margin of error.

Explanation / Answer

a. In constructing 90% confidence intervals for means, what do we expect will be true over the long run? (select all that apply; you have two attempts) O 10% of the time, the population mean will fall outside the confidence interval. O 90% of the time, the population mean will fall inside the confidence interval. 10% of the time, the population mean will fall inside the confidence interval 90% of the time, the population mean will fall outside the confidence interval b. In constructing 98% confidence intervals for means, what do we expect will be true over the long run? (select all that apply; you have three attempts) (Hint: Drawing a diagram of a confidence interval and considering scenarios in which the population mean is inside or outside the interval might help.) 2% of the time, the difference between the sample mean and population mean will be less than the margin of error. 2% of the time, the difference between the sample mean and population mean will be greater than the margin of error 98% of the time, the sample mean and the population mean will be exactly equal to each other. 98% of the time, the difference between the sample mean and population mean will be less than the margin of erro 98% of the time, the difference between the sample mean and population mean will be more than the margin of error.

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