1.Determine x and x from the given parameters of the population and sample size. =75, =21, n=49

x=_______

x=________

2.A researcher wishes to estimate the percentage of adults who support abolishing the penny. What size sample should be obtained if he wishes the estimate to be within 5 percentage points with 99% confidence if

(a) he uses a previous estimate of 24%?

(b) he does not use any prior estimates?

(a) n=______

(Round up to the nearest integer.)

(b)n=_____

(Round up to the nearest integer.)

3. Determine the point estimate of the population proportion, the margin of error for the following confidence interval, and the number of individuals in the sample with the specified characteristic, x, for the sample size provided. Lower bound=0.292, upper bound=0.828, n=1000

The point estimate of the population proportion is________

(Round to the nearest thousandth as needed.)

The margin of error is_________

(Round to the nearest thousandth as needed.)

The number of individuals in the sample with the specified characteristic is________

(Round to the nearest integer as needed.)

4. A physical therapist wants to determine the difference in the proportion of men and women who participate in regular sustained physical activity. What sample size should be obtained if she wishes the estimate to be within four percentage points with 99% confidence, assuming that

(a) she uses the estimates of 22.8% male and 19.7% female from a previous year?

(b)she does not use any prior estimates?

(a) n=______

(Round up to the nearest whole number.)

(b) n=________

(Round up to the nearest whole number.)