Opening Routine Aimee and Stan work in the same department for a large corporation. They are curious about the proportion of their coworkers who have children. Aimee obtains a list of all the workers in the department, randomly picks 20 names from the list, and asks those coworkers if they have children. She finds that 72% of those surveyed have children. Stan waits in the break room one morning and asks the first 20 coworkers that pass by if they have children. He finds that 85% of those surveyed have children. Which result is the better estimate of the proportion of coworkers who have children? 72% 85% Both results are equally good estimates Neither result is a good estimate. For a science project, two students need to estimate the average height of the 273 students in the senior class at their school. Each student measures the heights of 20 randomly selected members of the senior class. The mean height for one sample is 166 cm, and the mean height for the other sample is 170 cm. Which is the better estimate of the mean height of the students in the senior class? A. 166 cm B. 170 cm C. Both results are equally good estimates. D. Neither result is a good estimate.

Topic 2 – Statistics Class 3 – The Normal Distribution (Part 1) Mr. Solórzano – Algebra 2

Essential Question and Objectives Standard MAFS.912.S-ID.1.4 - Use the mean and standard deviation of a data set to fit it to a normal distribution and to estimate population percentages. Recognize that there are data sets for which such a procedure is not appropriate. Use calculators, spreadsheets, and tables to estimate areas under the normal curve. Essential Question and Objectives How can I use the Empirical Rule to find probabilities on a normally distributed data? Use the empirical rule to describe the distribution of a data set.

Closing Activity

Pop Quiz A grab bag contains 8 football cards and 2 basketball cards. An experiment consists of taking one card out of the bag, replacing it, and then selecting another card. Determine whether the events are independent or dependent. What is the probability of selecting a football card and then a basketball card? Express your answer as a decimal A scientist studies a herd of mule deer to learn about their dietary habits. Identify the population and sample. In 2009, 1672 cats, 1114 dogs, and 639 other animals (such as rabbits and hamsters) were adopted at an animal shelter. The shelter president wants to survey the people who adopted pets. Classify each sampling method. Which is most accurate? Which is least accurate? Explain your reasoning. Method A: Leave 300 surveys at the adoption desk for people to pick up and fill out. Method B: Randomly select 300 people from all of the people who adopted pets. Method C: Randomly select 100 people who adopted cats, 100 who adopted dogs, and 100 who adopted other animals.