Reconsider the activities involving the sampling of Reeses P

Reconsider the activities involving the sampling of Reese’s Pieces candies. Continue to suppose that 45% of all Reese’s Pieces are orange.

1. Is .45 a parameter or a statistic? What symbol would you use to represent it?

2. Does sampling variability refer to a statistic, a parameter, or both?

3. Are you more likely to get between 35% and 55% orange candies if you take a random sample of 40 candies or a random sample of 200 candies? Explain briefly.

4. Are you more likely to get more than 50% orange candies if you take a random sample of 40 candies or a random sample of 200 candies? Explain briefly. Now suppose that 20 people each take a random sample of 40 candies, calculate the sample proportion of orange candies, and create a dotplot of their results.

5. Identify the observational units and variable of this dotplot.

Solution

1) statistics because it come from a sample , value is p\'

2) statistic

3) random sample of 200, because we are getting less error with a sample very larger

4)

it is the same answer for 4) than 3)

proportion of orange candies = 40 / 200 = 0.2