Lyme disease is spread in the northeastern United States by infected ticks. The ticks are infected mainly by feeding on mice, so more mice result in more infected ticks. The mouse population in turn rises and falls with the abundance of acorns, their favored food. Experimenters studied two similar forest areas in a year when the acorn crop failed. They added hundreds of thousands of acorns to one area to imitate an abundant acorn crop, while leaving the other area untouched. The next spring, 54 of the 72 mice trapped in the first area were in breeding condition, versus 10 of the 17 mice trapped in the second area. Estimate the difference between the proportions of mice ready to breed in good acorn years and bad acorn years. Let p1 and p2 be (respectively) the proportions of mice ready to breed in good acorn vears and t

Lyme disease is spread in the northeastern United States by infected ticks. The ticks are infected mainly by feeding on mice, so more mice result in more infected ticks. The mouse population in turn rises and falls with the abundance of acorns, their favored food. Experimenters studied two similar forest areas in a year when the acorn crop failed. They added hundreds of thousands of acorns to one area to imitate an abundant acorn crop, while leaving the other area untouched. The next spring, 54 of the 72 mice trapped in the first area were in breeding condition, versus 10 of the 17 mice trapped in the second area. Estimate the difference between the proportions of mice ready to breed in good acorn years and bad acorn years. Let p1 and p2 be (respectively) the proportions of mice ready to breed in good acorn vears and t

Name: Lyme disease is spread in the northeastern United States by infected
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Description: Lyme disease is spread in the northeastern United States by infected ticks. The ticksare infected mainly by feeding on mice, so more mice result in more infected ticks.The mouse population in turn rises and falls with the abundance of acorns, theirf

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 1 and wishes to see if the improvements have made Store 1 more popular than Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 10 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 5 6 7 8 9 10 Store 1 478 478 770 795 952 774 499 953 695 964 Store 2 329 581 595 921 895 661 645 793 575 973 Difference(Store 1 - Store 2) 149 −103 175 −126 57 113 −146 160 120 −9 Send…
There are two types of farming tractors on the market, the FT250 and the FT500. The only difference between the two is that the FT250 is more prone to accidents than the FT500. Over their lifetime, 1 in 10 FT250s is expected to result in an accident, as compared to 1 in 25 FT500s. Further, 1 in 1,000 FT250s is expected to result in a fatal accident, as compared to only 1 in 5,000 FT500s. The FT250 sells for $125,000 while the FT500 sells for $137,000. At these prices, 2,000 of each model are purchased each year. What is the statistical value farmers place on avoiding a tractor accident? What is the statistical value of a life of a farmer?
The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 1 and wishes to see if the improvements have made Store 1 more popular than Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 8 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 3 4 5 6 7 8 Store 1 751 402 609 832 682 232 864 611 Store 2 630 307 288 477 556 238 535 267 Difference 121 95 321 355 126 -6 329 344 (Store 1- Store 2) Send data to calculator v Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of Store 1 exceeds that of Store 2? Answer this question by performing a hypothesis test…
The Ancient Murrelet is a plucky little bird of the auk family that lives in colonies on islands off the northern Pacific coasts of Russia, Alaska and Canada. Half of the world population breeds on the islands of Haida Gwaii, British Columbia. Since these birds lay their eggs in burrows on the forest floor, the nestlings are highly susceptible to predation. Their populations have been greatly reduced over the past century by mammalian predators (deer, raccoons, rats) introduced to their breeding islands after contact was established between the Haida people and outsiders. Conservation efforts have only recently been undertaken. A multi-year population study on one island, now closed to human visitors, has produced the following function that describes the observable decline: P(t) = 5-√√2t+4 where P(t) is the island population in thousands and t is the time in years since January 1, 2008, when the study was started. The goal is to graph and interpret this function in this problem…
The owner of a chain of mini-markets wants to compare the sales performance of two of her stores, Store 1 and Store 2. Though the two stores have been comparable in the past, the owner has made several improvements to Store 1 and wishes to see if the improvements have made Store 1 more popular than Store 2. Sales can vary considerably depending on the day of the week and the season of the year, so she decides to eliminate such effects by making sure to record each store's sales on the same 12 days, chosen at random. She records the sales (in dollars) for each store on these days, as shown in the table below. Day 1 2 3 4 5 6 7 8 9 10 11 12 Store 1 944 462 984 958 457 250 726 992 847 447 587 230 879 Store 2 699 378 928 658 374 44 149 845 917 707 519 222 877 Difference 245 84 56 300 83 101 -119 75 140 68 2 (Store 1 - Store 2) Send data to calculator Based on these data, can the owner conclude, at the 0.10 level of significance, that the mean daily sales of Store 1 exceeds that of Store 2?…
A researcher is interested in the effects of cocaine on learning. A group of rats is randomly assigned to receive either cocaine or a non-harmful saline solution. The rats are taught how to run a maze. The cocaine rats need to be reared away from the control group rats, so they are handled and taught by one experimenter, and the control group rats are handled and taught by another experimenter. The results showed that the control group rats learned how to run the maze more quickly than the cocaine rats. 1. What is the independent variable? 2. What is the dependent variable? 3. What is the confounding? 4. How could the confounding be fixed?
Two computer programs are designed to perform certains tasks. Each time you have a new task, you make both programs handle it, and then check which of the two works better. You are aware that one of the programs outperforms the other in 60 percent of the cases and underperforms in 40 percent of the cases (each time independently of what happens in the other cases). However, you don’t know which of the two programs is better(you could probably figure it out by having them both work on a large number of tasks but that would take very long). (a) What is the probability that the same program outperforms on both of the next two tasks?(b) Given that the first program outperformed on the last two tasks, what is the probability that the first program is the better one of the two? (Hint: use the Bayesformula.)(c) Given that the first program outperformed on the last two tasks, what is the probability that it will outperform on the next one?