Name: Elementary Statistics Written Homework Unit 2B: Sections 3.1 to 3.4 Software output is required for this assignment. 1. 3.92 Sugar in cereal. The dataset Cereal provides nutritional information for a random sample of 30 cereals. The variable Sugars represents the amount of sugar, in grams, in one serving of cereal. We wish to estimate the average amount of sugar in one serving of all cereals. a. Define the parameter. b. Write the value of the sample statistic, using correct notation. c. Suppose you were to create a Bootstrap distribution by hand using 30 slips of paper, each labeled with the amount of sugar from one cereal. Describe the process of generating one bootstrap sample: What sample size would you use for your bootstrap sample? Would you sample with or without replacement? What statistic would you record for this one bootstrap sample? Use correct notation: d. Use Statkey to find a 90% bootstrap confidence interval for the mean amount of sugar, using the percentiles method. Include a screen shot showing the percentiles with your homework submission, and write the confidence interval here: e. Find a 95% bootstrap confidence interval using the margin of error method, based on the standard error estimate from your bootstrap distribution in the previous step (show all calculations). f. Interpret the 95% confidence interval in context