Abe wants to estimate the mean of a population with standard deviation 10. Betty wants to estimate the mean of a population with standard deviation 20. If both of them take the same number ofsamples, then which of the following statements are correct?(A) If both Abe and Betty use confidence intervals of the same width, then Abe's confidence level is smaller than Betty's(B) If both Abe and Betty use confidence intervals of the same width, then Abe's confidence level is larger than Betty's(C) If Abe and Betty construct confidence intervals with the same confidence level, then the width of Abe's interval is smaller than that of Betty's(D) If Abe and Betty construct confidence intervals with the same confidence level, then the width of Abe's interval is larger than that of Betty's(A) and (C)(B) and (D)(B) and (C).(A) and (D)

Here, standard deviation of Abe is 10 and standard deviation of Betty is 20. Both have same number…

Answered: Abe wants to estimate the mean of a…

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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Ezekiel wants to use an interval from a sample based on z-scores to estimate the proportion of seniors in his school who have a smartphone. He takes a MORE of 20 out of the total 100 seniors and finds that 12 of those sampled have a smartphone. What conditions for constructing this confidence interval does Ezekiel's sample satisfy? Choose all the appropriate answers: The data is a random sample from the population of interest The observed scores of successes and failures are large enough Individual observations can be considered independent
Which of the following statement(s) about confidence intervals are correct? 1) There is no relationship between sample size and confidence interval's width 2) the smaller the sample size, the wider the confidence interval. 3) The higher the confidence level, The narrower the confidence interval. 4) The higher the confidence level, The wider the confidence interval. 5) The larger the sample size, The wider the confidence interval. 6) There is no relationship between confidence level and confidence interval's width.
10.
Solve the following. Show your complete solution. The in-city gasoline mileage per gallon was computed for two economy automobiles, each for 40 tanks of gasoline. The mean and standard deviation of the mile per gallon readings were given in the following table. Find a 90% confidence interval for the difference in mean miles per gallon for the two automobiles. Interpret your result.
A district official intends to use the mean of a random sample of 150 sixth graders from a very large school district to estimate the mean score that all the sixth graders in the district would get if they took a certain arithmetic achievement test. If, based on experience, the official knows that = 9.4 for such data, suppose that the district official takes her sample and gets = 61.8. Use all the given information to construct a 99% confidence interval for the mean score of all the sixth graders in the district.
If a sample of 35 employees had been selected, could we find a 95% confidence interval for the average salary of the entire company? O Yes because when I plug 35 into the calculator with the previous average of $55,000 and standard deviation of $5,000 I get a confidence interval of ($53,343.53, $56,656.47) No since 35 is less than 40.
A box model is used to calculate a confidence interval in the following scenario: Statistics club at TYHS wants to know the average time students in TYHS spent on preparing for their standardized exams. They sampled 100 students from TYHS. They want to construct a confidence interval for the average time that students in TYHS spent on preparing for their standardized exams. For each of the following quantities in the box model, select the answer if the quantity is random, not fixed. Leave the quantities that are fixed unselected. Group of answer choices. You can select more than one answer the proportion of 0's in the box model the EV and SE of the sample average the average time of every student in TYHS spent on preparing for their standardized exams the sample average of students spent on preparing for their standardized exams
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9. According to a poll, eighty seven percent (87%) of California adults (440 out of 506 surveyed) feel that education is one of the top issues facing California. We wish to construct a ninety percent (90%) confidence interval for the true proportion of California adults who feel that education is one of the top issues facing California.What is a point estimate for the true population proportion?
Suppose a researcher takes a random sample of 1,000 students from a university and creates a 95% confidence interval for the true proportion of left handed students at the university. Which of the following is true about this interval when compared with a 95% confidence interval based on a random sample of 600 students from the same university? a. The interval based on a sample of 600 students will be wider than the interval based on a sample of 1,000 students. b. The lower and upper endpoints of the 95% CI based on 600 students will both be larger than the corresponding lower and upper endpoints of the 95% CI based on 1,000 students. c. 95% CIs based in samples of 1,000 students are more likely to include the true population proportion than 95% CIs based on samples of 600 students. d. The interval based on a 1,000 students will be wider than the interval based on 600 students. 2. If the researchers above wished to decrease the width of the mean confidence interval for the mean age…
The following questions are concerned with confidence interval estimation of one population mean. (true or false) a. The margin of error can be determined if one knows only the length of the confidence interval b. The confidence interval can be obtained if one knows the margin of error and the sample mean c. The sample mean can be determined if one knows the endpoints of the confidence interval
13. We have used a confidence level of 95% to estimate the average hours of television viewing for residents in a retirement home. What is the chance that our interval estimate does not contain the true population mean? (4%) A. 95% B. 5% C. 2.5% D. None of the above 14. There are about 4 million eligible voters in a society. A public opinion pollster has estimated their probable choices for the next president with a sample of 4,000 randomly selected citizens. In this example, the 4,000 citizens are a _____ and the 4 million eligible voters are a _____. (4%) A. Population, sample B. Statistics, parameters C. Parameters, statistics D. sample, population 15. In developing an interval estimate for a population mean, the population standard deviation was known. A 95% confidence interval was used. The interval estimate was [30 - 3:92; 30 + 3:92]. What would be the interval estimate if sample size (n) is quadrupled?…

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