8. A sample of 50 individuals at a senior citizen home is surveyed on their favorite Teletubby. 20 out of the 50 select Tinky Winky. Using a 5% margin error, give a range of senior citizen who prefer Tinky Winky.

If the sample size was increased to 500 seniors, with the same proportion picking Tinky Winky, what would the new range be? What happens to the range of percentages as the sample size increases?

9. What percent of the population in a normal city would be between -1.5 standard distributions below the mean and 2.25 standard distribution above the mean. (hint: there are the z-scores as well).

a.Draw a normal distribution curve and shade the region of interest.

b.Use Excel to find the exact percentage between these standard deviations.