A college lecturer randomly selected thirty-fivestudents in his class to complete an assigned task and itis found that the 95% confidence interval for the trueaverage time in completing the task is (17.278, 28.722)minutes. It is thought that this interval is too wide, anda confidence interval of total width 5 minutes will bemore desirable.(a) Using the same value of x, find the newconfidence interval in this case.(b) Find the confidence level for the interval in part

The confidence interval for mean is Confidence interval = x̄ ± M.E x̄ is sample mean M.E is…

Answered: A college lecturer randomly selected…

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 certain article indicates that in a sample of 1,000 dog owners, 690 said that they take more pictures of their dog than of their significant others or friends, and 490 said that they are more likely to complain to their dog than to a friend. Suppose that it is reasonable to consider this sample as representative of the population of dog owners. Construct a 95% confidence interval for the proportion of dog owners who are more likely to complain to their dog than to a friend. (Use a table or technology. Round your answers to three decimal places.)
In a population where the proportion of people who have the ability to taste umami is unknown, a random sample of 100 people were tested and 74 could clearly distinguish umami from saltiness. Calculate the 95% and 99% population proportion confidence intervals for this finding.
The results of the National Health and Nutrition Examination Survey for the year 2011-12 found that 12.9% of the adults of age 20 and more in the United States had high total cholesterol. Assume that a researcher surveys a sample size of 120 for above 20 years. Construct a 95% confidence interval estimate for the population proportion so that the cholesterol level is the same as 12.9% (PHStat). Assume that a researcher surveys a sample size of 1,200 for more than 20 years. Construct a 95% confidence interval estimate for the population proportion so that the cholesterol level is the same as 12.9%.(PHStat) Compare the results in (a) and (b).
A certain article indicates that in a sample of 1,000 dog owners, 620 said that they take more pictures of their dog than their significant others or friends. In addition, 470 said that they are more likely to complain to their dog than to a friend. Suppose that it is reasonable to consider this sample as representative of the population of dog owners. (a) Construct a 90% confidence interval for the proportion of dog owners who take more pictures of their dog than of their significant others or friends. (Round your answers to three decimal places.) ( , ) Interpret the interval choose one. a. We are 90% confident that the mean number of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. b. There is a 90% chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. c. There is a 90% chance…
A certain article indicates that in a sample of 1,000 dog owners, 680 said that they take more pictures of their dog than their significant others or friends. In addition, 440 said that they are more likely to complain to their dog than to a friend. Suppose that it is reasonable to consider this sample as representative of the population of dog owners. (a) Construct a 90% confidence interval for the proportion of dog owners who take more pictures of their dog than of their significant others or friends. (Round your answers to three decimal places.) , Interpret the interval. a.There is a 90% chance that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. b.We are 90% confident that the true proportion of dog owners who take more pictures of their dog than of their significant others or friends falls within this interval. c.We are 90% confident that the mean number…
The production manager in an automobile plant is concerned with the number of cars that do not pass the final quality control inspection. In the last two hours he noted that in a sample of 120 cars only 92 were acceptable. The lower and upper limit of a 95% confidence interval for the true percentage of all cars that would not pass the final quality control inspection would be:
An epidemiologist with the Florida Department of Health needs to estimate the proportion of Floridians who are infected with the corona virus but are asymptomatic (show no signs of the virus). The epidemiologist compiled a preliminary random sample of infected patients and found that 65% of the sample were also asymptomatic.How large a sample should be selected such that the margin of error of the estimate for a 96% confidence interval is at most 1.93%. Round the solution up to the nearest whole number.
An epidemiologist with the Florida Department of Health needs to estimate the proportion of Floridians who are infected with the corona virus but are asymptomatic (show no signs of the virus). The epidemiologist compiled a preliminary random sample of infected patients and found that 77% of the sample were also asymptomatic . How large a sample should be selected such that the margin of error of the estimate for a 99% confidence interval is at most 4.39 %. Round the solution up to the nearest whole number .

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