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

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)

10% of the time, the population mean will fall outside the confidence interval.

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 99% confidence intervals for means, what do we expect will be true over the long run? (select all that apply; you have three attempts)

99% of the time, the difference between the sample mean and population mean will be less than the margin of error.

99% of the time, the difference between the sample mean and population mean will be more than the margin of error.

1% of the time, the difference between the sample mean and population mean will be less than the margin of error.

99% of the time, the sample mean and the population mean will be exactly equal to each other.

1% of the time, the difference between the sample mean and population mean will be greater than the margin of error

Explanation / Answer

a)10% of the time, the population mean will fall outside the confidence interval.

90% of the time, the population mean will fall inside the confidence interval.

b)99% of the time, the difference between the sample mean and population mean will be less than the margin of error.

1% of the time, the difference between the sample mean and population mean will be greater than the margin of error

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