3. It has been found in the past that 4 per cent of the screws producedin a certain factory are defective. A sample of ten is drawn randomlyfrom each hour's production and the number of defectives is noted.In what fraction of these hourly samples would there be at least twodefectives? What doubts would you have if a particular sample con-attained six defectives?

Given information: The sample size is n=10. Let a screw produced in a certain factory is defective…

Answered: 3. It has been found in the past that 4…

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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A professor wants to evaluate whether testing students weekly with a quiz improves their learning of the class material. The professor teaches the same course in two different semesters, with a class size of 30 in both. In the first semester, the students completed a quiz each week. In the second semester, the students were not given any quizzes. Assume that the teaching was otherwise identical in each semester. The course percentage grade for each student is given in the sheet titled Test Scores. a. Analyze whether the class that was given the weekly quizzes scored higher on aver- age in the class. Give a 95% confidence interval as well as an appropriate test result. Be sure to comment on the validity of each of the two methods for this data. b. Analyze whether students were more likely to pass in the class that was given the weekly quizzes. Give a 95% confidence interval as well as an appropriate test result. Be sure to comment on the validity of each of the two methods for this…
and 6. How many 3 A car needs 1 minute 30 seconds to travel a distance of 1 mile. At this rate, how many miles will the car travel in 1 hour? 4. a special sale, all pen
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21. Butterfly wings: Do larger butterflies live longer? The wingspan (in millimeters) and the lifespan in the adult state (in days) were measured for 22 species of butterfly. Following are the results. Vin 35.5 30.6 30.0 32.3 23.9 27.7 Wingspan Lifespan Wingspan Lifespan 19.8 17.3 27.5 22.4 40.7 18.3 25.9 23.1 24.0 38.8 36.5 Source: Oikos Journal of Eology 105:41--54 25.9 31.3 23.0 26.3 23.7 27.1 28.1 25.9 28.8 31.4 28.5 32.5 27.5 31.0 37.4 22.6 23.1 18.5 35.9 25,4 24.6 28.1 32.3 29.1 37.0 33.7 a. Compute the least-squares regression line for predicting lifespan (y) from wingspan (x). b. Construct a 99% confidence interval for the slope. c. Test H B =0 versus H 6 <0, Can you conclude that wingspan is useful in predicting lifespan? Use the a 0.05 level of significance. d. Do larger butterflies tend to live for a longer or shorter time than smaller butterflies! Explain,
Two varieties of corn are grown in 4 different locations. Each location provides a value in pounds for each variety.The table below lists the results. Find the standard error for the difference in the production of the two corn varieties to two decimal places. Variety 1 Variety 2 difference location 1 32.1 34.5 -2.4 location 2 30.6 32.6 -2.0 location 3 33.7 34.6 -0.9 location 4 29.7 31.6 -1.3 mean value 31.53 33.18 -1.65 standard deviation 1.76 1.72 0.68 1.23 0.75 0.34 0.98

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3. It has been found in the past that 4 pe na certain factory are defective. A sample of ten is drawn om each hour's production and the number of defective: what fraction of these hourly samples would there be a