1. We say probability (of obtaining a sample that will yield a confidence interv

Question

1. We say probability (of obtaining a sample that will yield a confidence interval containing the value of the population mean) before we take a sample and confidence (that the confidence interval computed from the sample data contains the value of the population mean) after we take a sample. What is our confidence really in?

a. The fact that x¯ equals the value of

b. The confidence interval procedure

c. The variability of the population mean

d. A well performed experiment

2.True or false: If confidence level is 90%, then we can say that the probability that a 90% confidence interval for , namely (92.72, 101.72),contains the value of is 0.90.

3.For the 90% confidence interval for : ( 92.72, 101.72), what is meant by "90% confidence"?

a. 90% of the time, the value of is between 92.72 and 101.72.

b. The probability that the value of is between 92.72 and 101.72 is 0.90.

c. The procedure used to obtain this interval will produce 90% confidence intervals that actually contain the value 90% of the time.

Explanation / Answer

1.

Confidence intervals gives the range of values in which popualton mean may lie. So option (c) is correct.

2.

The 90% refers to the percentage of all possible intervals that contain . hence, given statement is false.

3.

The 90% refers to the percentage of all possible intervals that contain .

Option c is correct.

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