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1- A 90% confidence interval estimate of the population mean can be interpreted

ID: 3384680 • Letter: 1

Question

1- A 90% confidence interval estimate of the population mean can be interpreted to mean that:

if we repeatedly draw samples of the same size from the same population, 90% of the values of the sample means will result in a confidence interval that includes the population mean.

there is a 90% probability that the population mean will lie between the lower confidence limit (LCL) and the upper confidence limit (UCL).

we are 90% confident that we have selected a sample whose range of values does not contain the population mean.

we are 90% confident that 10% the values of the sample means will result in a confidence interval that includes the population mean.

2-If the population mean does not fall within the computed confidence interval, there must be something wrong with the sample.

True

False

3-If (14.59, 15.38) is a 95% confidence interval for a population mean, which of the following would be a 98% confidence interval calculated from the same set of sample data that was used to create the 95% confidence interval above?

(14.67, 15.31)

(14.73, 15.24)

(14.52, 15.45)

(14.70, 15.27)

if we repeatedly draw samples of the same size from the same population, 90% of the values of the sample means will result in a confidence interval that includes the population mean.

there is a 90% probability that the population mean will lie between the lower confidence limit (LCL) and the upper confidence limit (UCL).

we are 90% confident that we have selected a sample whose range of values does not contain the population mean.

we are 90% confident that 10% the values of the sample means will result in a confidence interval that includes the population mean.

2-If the population mean does not fall within the computed confidence interval, there must be something wrong with the sample.

True

False

3-If (14.59, 15.38) is a 95% confidence interval for a population mean, which of the following would be a 98% confidence interval calculated from the same set of sample data that was used to create the 95% confidence interval above?

(14.67, 15.31)

(14.73, 15.24)

(14.52, 15.45)

(14.70, 15.27)

Explanation / Answer

Confidence interval calculated are (14.52, 15.45). Becuase when increased confidence level widen the interval. We onnly that option avalible that has decresed value than the observed value