(a) A new car model has a design fault, as a result of which 10% of production cars have aparticular ignition problem. Engineers have come up with a modification which they hope willend the difficulty, and a pilot run of 30 cars is manufactured using the modified design. Stateand briefly justify a distribution you might consider using to model the number of cars X in thispilot run with the ignition problem.(b) Suppose that the modification has no effect on the problem. Using your model, findPr(X=0) and Pr(X= 1). If in fact no cars have the problem, would the manufacturer bejustified in concluding that the change has definitely improved the situation?(c) Suppose now that the problem occurs in only 1% of cars manufactured in the modifiedway. Estimate the probability that in the first 500 cars there are no more than two still with theproblem.(d) Later, the manufacturer claims that as a result of the modification the problem occurs inonly 0.5% of cars. An independent survey of 500 cars finds that 6 have the problem. Is themanufacturer's claim reasonable?

Let X denotes the number of cars having the ignition problem. Let p denotes the probability that a…

Answered: (a) A new car model has a design fault,…

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 special education teacher did research on whether or not there is a relationship between the number of students in his class and the number incidents of “acting out” behaviors exhibited by the autistic students in the classroom. He collects data for a year and aggregates them by month. He obtained the statistics below, r= -.863 R2=.74 b= -1.212294 a= 131.176598 10.) How does the presence of more students affect the incidents in the class? a) as students are added the incidences increase b) as students are added the incidences decrease c) the number of students does not affect acting out d) the number of students caused more incidents How much of the variability of acting out is explained by the number of students in the class?___________
A healthcare provider monitors the number of CAT scans perfomed each month in each of its clinics. The most recent year of data for a particular clinics follows (the reported variable is the number of CAT scans each month expressed as the number of CAT scans per thousand members of the health plan): 2.31.2.09. 2.36, 1.95, 1.98, 2.25. 2.16, 2.07. 1.88, 1.94, 1.97, 2.02. Find a two sided 95% confidence interval for the standard deviation. What should you do to address any reservations about this confidence interval? Round your answers to two decimal places (e.g. 98.76). Sos
Please give an answer with a calculation and give an explanation of the correct and incorrect option.
The owner of a small firm has just purchased a personal computer, which she expects will serve her for the next two years The owner has been told that she "must" buy a surge suppressor to provide protection for her new hardware against possible surges or variations in the electrical current, which have the capacity to damage the computer The amount of damage to the computer depends on the strength of the surge. It has been estimated that there is a 1% chance of incurring 350 dollar damage, 4% chance of incurring 200 dollar damage, and 10% chance of incurring 125 dollar damage from a surge within the next two years. An inexpensive suppressor, which would provide protection for only one surge, can be purchased. How much should the owner be willing to pay if she makes decisions on the basis of expected value? Expected value = Preview My Answers Submit Answers You have attempted this problem 0 times. You have unlimited attempts remaining.
The following is based on information from The Wolf in the Southwest: The Making of an Endangered Species, by David E. Brown (University of Arizona Press). Before 1918, the proportion of female wolves in the general population of all southwestern wolves was about 50%. However, after 1918, southwestern cattle ranchers began a widespread effort to destroy wolves. In a recent sample of 37 wolves, there were only 11 females. One theory is that male wolves tend to return sooner than females to their old territories, where their predecessors were exterminated. Do these data indicate that the population proportion of female wolves is now less than 50% in the region? Use α = 0.01. (a) What is the level of significance? State the null and alternate hypotheses. O Ho: P 0.5 O Ho: P = 0.5; H₁: p 5 and nq > 5. O The Student's t, since np > 5 and ng > 5. The standard normal, since np < 5 and nq < 5. O The Student's t, since np < 5 and nq < 5. What is the value of the sample test statistic? (Round…
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The mango is considered the "king of fruits" in many parts of the world. Mangoes are generally harvested at the mature green stage and ripen up during the marketing process of transport, storage, and so on. During this process, about 30% of the fruit is wasted. Because of this, the impact of harvest stage and storage conditions on the postharvest quality are of interest. In this experiment, the fruit was harvested at 80, 95, or 110 days after the fruit setting (the transition from flower to fruit) and then stored at temperatures of 20∘C, 30∘C, or 40∘C. For each harvest time and storage temperature, a random sample of mangoes was selected, and the time to ripening was measured. What are the factors, the treatments, and the response variables? Take each item from the answer bank and place into the appropriate category.
Provide two examples of the following: d. Collecting data from a Published source Collecting data from a Designed experiment Collecting data from an Observational study (e.g., a survey е. f.
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