Name Period Populations Samples and Hypotheses 11 2 WS Key Algebra 2 Determine whether the data are collected from a population or a sample Explain your reasoning 1 the number of high school students in the United States Population all high school students in US 2 the color of every third car that passes your house Sample every 3rd car 3 a survey of 100 spectators at a sporting event with 1800 spectators Sample 100 spectators out of 1800 4 the age of each dentist in the United States Population each dentist Identify the population and sample Describe the sample 5 In the United States a survey of 1152 adults ages 18 and over found that 403 of them pretend to use their smartphones to avoid talking to someone Pop adults in US 18 and over Sample the 1152 that were sampled 6 In the United States a survey of 1777 adults ages 18 and over found that 1279 of them do some kind of spring cleaning every year Pop adults in US 18 and over Sample the 1777 that were sampled 7 In a school district a survey of 1300 high school students found that 1001 of them like the new healthy cafeteria food choices Pop all high school students in that school district Sample the 1300 that were sampled 8 In the United States a survey of 2000 households with at least one child found that 1280 of them eat dinner together every night Pop households in US Sample the 2000 households surveyed Determine whether the numerical value is a parameter or a statistic Explain your reasoning 9 The average annual salary of some physical therapists in a state is 76 210 Statistic some physical therapists in a state 10 In a recent year 53 of the senators in the United States Senate were Democrats Parameter 53 out of all senators 11 Seventy three percent of all the students in a school would prefer to have school dances on Saturday Parameter all the students 12 A survey of U S adults found that 10 believe a cleaning product they use is not safe for the environment Parameter a survey of US adults It is implying all of them since it didn t say a group size 13 You flip a coin 4 times and do not get a tails You suspect this coin favors heads The coin maker claims that the coin does not favor heads or tails You simulate flipping the coin 50 times by repeatedly drawing 200 random samples of size 50 The histogram shows the results What should you conclude when you flip the actual coin 50 times and get a 27 heads and b 33 heads 27 50 54 which is close to 50 so fair dice 33 50 66 which isn t too close to 50 so weighted dice 14 A random sample of five people at a movie theater from a population of 200 people gave the film 4 out of 4 stars Your friend concludes that everyone in the movie theater would give the film 4 stars Is your friend correct Explain your reasoning 5 200 025 or 2 5 That isn t a big enough sample plus their friends many people are friends because they like the same things 15 You perform two simulations of repeatedly selecting a marble out of a bag with replacement that contains three red marbles and three blue marbles The first simulation uses 20 random samples of size 10 and the second uses 400 random samples of size 10 The histograms show the results Which simulation should you use to accurately analyze a hypothesis Explain Use the simulation that uses 400 random samples It takes into account outliers Notice the 2nd histogram is basically normally distributed That will happen to most data if you do enough samples This tells you that you have a large enough sample