Calculateaconfidenceinterval for the me-dian ofthe second population.Select your confidenc eleve land reportit with your answer.?? population is skewed to the right. For one studyhe has his computer generate 10,000 randonsamples of size n = 10 from the populationFor each random sample, the computer calcu_lates the Gosset 95% confidence interval for /and checks to see whether the interval is corHis second study is like his first, bun = 100. Finally, his third study is like the first200. In one of his studies, Homer obrect.but n =tains 9,504 correct intervals; in another he obtains 9,478 correct intervals; and in the remaining study he obtains 8,688 correct intervals.Based on what we learned in class, match eaclsample size to its number of correct intervalsExplain your answer.Independent random samples are selected frontwo populations. Below are the sorted data fromthe first population.362373399428476481545564585589590600671694723724904Hint: The mean and standard deviation of thesenumbers are 571.1 and 144.7.Below are the sorted data from the second population.387530 544547646766786864Hint: The mean and standard deviation of thesenumbers are 633.8 and 160.8.(a) Calculate Gosset's 90% confidence interval for the mean of the first population.

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Answered: Calculateaconfidenceinterval for the…

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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An ecologist randomly samples 20 plants of a specific species and measures their heights. He finds that this sample has a mean of 17 cm and a standard deviation of 4 cm. If we assume that the height measurements are normally distributed, find a 90% confidence interval for the mean height of all plants of this species. Then find the lower limit and upper limit of the 90% confidence interval.
In a company, a random sample of 30 working women with children showed that they were absentsfrom work an average of 12 days per year with a standard deviation of 3.6 days.(a) Provide a 99% confidence interval for the average number of days absent per year for the entireworking mothers in the company.(b) If a statistician constructed a thousand of these 99% confidence intervals over his/her lifetime,what percentage he/she would miss the target and how do you call it?
An ecologist randomly samples 16 plants of a specific species and measures their heights. He finds that this sample has a mean of 18 cm and a standard deviation of 3 cm. If we assume that the height measurements are normally distributed, find a 90% confidence interval for the mean height of all plants of this species. Then find the lower limit and upper limit of the 90%confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. Lower limit: Upper limit:
An ecologist randomly samples 11 plants of a specific species and measures their heights. He finds that this sample has a mean of 17 cm and a standard deviation of 2 cm. If we assume that the height measurements are normally distributed, find a 90% confidence interval for the mean height of all plants of this species. Give the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your answers to one decimal place. Lower Limit___ Upper Limit___
Let p1 and p2 be the respective proportions of women with nutritional anemia in each of two developing countries. If a random sample of 300 women from the first country yielded 105 women with nutritional anemia, and an independently chosen, random sample of 325 women from the second country yielded 78 women with nutritional anemia, find a 90% confidence interval for −p1p2. Then find the lower limit and upper limit of the 90% confidence interval. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places. (If necessary, consult a list of formulas. a.) Lower Limit is: b.) Upper Limit is:
A smart phone manufacturer is interested in constructing a 99% confidence interval for the proportion of smart phones that break before the warranty expires. 83 of the 1621 randomly selected smart phones broke before the warranty expired. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all smart phones that break before the warranty expires is between ______ and ______. b. If many groups of 1621 randomly selected smart phones are selected, then a different confidence interval would be produced for each group. About________ percent of these confidence intervals will contain the true population proportion of all smart phones that break before the warranty expires and about________ percent will not contain the true population proportion.
a. From the first student's data, what percentage of men used turn signals, and what percentage of women used them? of men used turn signals, and of women used them. (Round to one decimal place as needed.) b. From the first student's data, assuming the conditions are met (although admittedly this was not a random selection), find a 95% confidence interval for the difference in percentages (men−women).State whether the interval captures 0, and explain whether this provides evidence that the proportions of men and women who use signals differ in the population. The 95%confidence interval for the difference in percentages (men−women) is (. %. %) (Round to one decimal place as needed.) c. From the second student's data, first find the percentage of men and the percentage of women who used turn signals, and then, assuming the conditions are met, find a 95% confidence interval for the difference in percentages. State whether the interval captures 0, and explain…
A doctor is studying a new disease and it's possible that the five year survival rate for some patients can be improved if the standard treatment is lengthened from one year to one and a half years. 50 patients were treated for 1.5 years and 15 did not survive for five years as predicted. If p is the survival rate for individuals treated for the disease over 1.5 years. Can you construct a 99% confidence interval for p and find the right sample size that the doctor would need so the margin of error for the 99% CI for p is less than 0.1?
Let p1 and p2 be the respective proportions of women with nutritional anemia in each of two developing countries. If a random sample of 325 women from the first country yielded 110 women with nutritional anemia, and an independently chosen, random sample of 375 women from the second country yielded 131 women with nutritional anemia, find a 95% confidence interval for −p1p2. Then complete the table below. Carry your intermediate computations to at least three decimal places. Round your responses to at least three decimal places.

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