John has to complete a research project on the ape population in Spain. He is trying to estimate the size of population of apes. He randomly catches 37.

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Presentation transcript:

John has to complete a research project on the ape population in Spain. He is trying to estimate the size of population of apes. He randomly catches 37 apes and marks them with paint. He releases apes in jungle. The following year he observes 250 apes and he found that 10 were marked with the paint that he used. Find out the best estimate for the size of the ape population?

The ratio of marked apes to total apes should be about the same in both the sample population and the overall population. Set up a proportion. Total number of marked Ape Estimate of Ape population = Number of marked Ape counted Total number of Ape counted

Plug in the numbers you know and solve for the Ape population, p. 10_ p = 10p = 37 x 250 (find the cross products)10p = 9,250 divide both sides by 10. P = 925

50_ p = 50 p = 260 x 58 (find the cross products) 50p =15,080 divide both sides by 50. P = ) A famous television channel put tags on 58 alligator and released them. Later, they catch 260 alligator; among those alligator, 50 were tagged. Calculate the best estimate for the alligator population?

2) Management wants to open a cafeteria in the office building. So they collected data from two random samples of 100 employees regarding employees’ office lunch preference? Make at least two inferences based on the results. Sample Group Corn Dog Philly Cheese Steak Reuben Sandwich Total # #

Sample Group Corn Dog Philly Cheese Steak Reuben Sandwich Total # # Most employees prefer Corn Dogs. 2. More people prefer Corn Dogs more than Philly Cheese Steaks and Reuben Sandwich combined. 3. Reuben sandwiches are not very popular.

28_ p = 28 p = 440 x 32 (find the cross products) 28p = 14,080 divide both sides by 28. P = ) A computer tracking chip company wants to test their chips. They marked 32 birds by attaching computer chips to their legs. Later on, they catch 440 birds, 28 of which are marked with computer chips attached to them. They provided this data to animal welfare authorities to estimate the bird population. To the nearest whole number, what is the best estimate of the bird population?