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Suppose that a 95% confidence...

Suppose that a 95% confidence interval for a population mean μ is given to be from 130 to 150. The 95% value in this statement indicates that: (choose the one best answer)

a. P ( 130 < μ < 150 ) = 0.95

b. There is a 5% chance that μ falls between 130 and 150.

c. When the statistical techniques in this unit are applied to build a 95% confidence interval around the mean of any randomly collected sample, we can only expect 95% of such calculated intervals to contain the true value of μ .

d. There is only a 5% chance that the collected sample mean will be between 130 and 150.

Suppose that a 95% confidence interval for a population mean μ is constructed from a sample, resulting in the interval from 70 to 77. What was the value of the sample mean that was collected? What was the size of the margin of error?

What is the appropriate critical z-value for each of the following confidence levels?

(a) 90% confidence level:

(b) 85% confidence level:

What happens to the size (width) of a confidence interval in a problem if:

(a) the percent of desired confidence decreases from 95% to 90%? Does it get wider or narrower?

(b) the size of the sample used to produce the confidence interval is increased?

A survey of 350 randomly selected adults across the US revealed that 233 supported the building of electric generating windmills. You want to produce a 90% confidence interval for the percentage of ALL adults from US with this same viewpoint.

(a) Determine the Margin of Error for this situation.

(b) Determine the confidence interval for this situation.

(c) Give an intepretive sentence to your results in part (b).

a. P ( 130 < μ < 150 ) = 0.95

b. There is a 5% chance that μ falls between 130 and 150.

c. When the statistical techniques in this unit are applied to build a 95% confidence interval around the mean of any randomly collected sample, we can only expect 95% of such calculated intervals to contain the true value of μ .

d. There is only a 5% chance that the collected sample mean will be between 130 and 150.

Suppose that a 95% confidence interval for a population mean μ is constructed from a sample, resulting in the interval from 70 to 77. What was the value of the sample mean that was collected? What was the size of the margin of error?

What is the appropriate critical z-value for each of the following confidence levels?

(a) 90% confidence level:

(b) 85% confidence level:

What happens to the size (width) of a confidence interval in a problem if:

(a) the percent of desired confidence decreases from 95% to 90%? Does it get wider or narrower?

(b) the size of the sample used to produce the confidence interval is increased?

A survey of 350 randomly selected adults across the US revealed that 233 supported the building of electric generating windmills. You want to produce a 90% confidence interval for the percentage of ALL adults from US with this same viewpoint.

(a) Determine the Margin of Error for this situation.

(b) Determine the confidence interval for this situation.

(c) Give an intepretive sentence to your results in part (b).

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