Part 3) Confidence Intervals and Sample Size for and p A. Confidence Interval and Sample Size for -- How much do you read? (9 points) A recent Gallup poll asked a random sample of 1006 Americans "During the past year about how many books, either hardcover or paperback, did you read either all or part of the way through?" The results of the survey gave a sample mean of 13.4 books and a standard deviation of 16.6 books read all or part of the way through. Choose a number between 80 and 98. This is the level of confidence you will use for this section of problems. What is your number? 1. (2 pts) With the confidence level you chose, construct that % confidence interval for the population mean number of books Americans read either all or part of the way through. What is the margin of error for this confidence interval? (1) https://www.bbc.com/news/education-56889035 120722 Franklin University Math 215 - Statistical Concepts Name: 2. (1 pt) Interpret the interval found above. Be sure to include the chosen confidence level and the context of the problem in the interpretation. 3. (1 pt) A book publishing company claims that an average of 14 books were read either all or part of the way through based on their publishing goals that were met. Does the interval found in #1 above contradict or support this claim? 4. (3 pts) Find the margin of error for the following confidence intervals and compare these to the margin of error for the confidence interval you found above in #1. a) 75% confidence interval. Margin of error = b) 99% confidence interval. Margin of error = c) How do these margins of errors compare to the margin of error for the confidence interval found in #1 above? 5. (2 pts) What sample size is required if = 15.1 and a margin of error of 2 is desired with the confidence level chosen in #1 above? Be sure to show the formula used and work on solving the problem.