You intend to estimate a population mean u from the following sample.26.5-3.216.814.544.543.414.6You believe the population is normally distributed. Find the 80% confidence interval. Enter youranswer as an open-interval (i.e., parentheses) accurate to two decimal places (because the sampledata are reported accurate to one decimal place).80% C.I. =%3DAnswer should be obtained without any preliminary rounding. However, the critical value may berounded to 3 decimal places.

Answered: Image /qna-images/answer/9ec4f3a8-0e4f-4130-ad12-d2b23b617b1e.jpg

Answered: places (because the sample data are…

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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Answer the following short questions related to samples and sampling distributions:(a) If a given sample has a much higher median than mean, would it be left-skewed or right-skewed? Justify your answer with the properties of the mean. (b) If you compare a 95% confidence interval and a 99% confidence interval for the same data, which one will be wider? Justify your answer with the properties of the confidence interval’s structure. (c) If a 99% confidence interval from the t-distribution and a 99% confidence interval from the Normal distribution with identical sample error are compared, which one will be wider? Justify your answer with the properties of the t-distribution in relation to the normal distribution (you may want to refer to qt() and qnorm()).
Suppose that you had collected the following sample data (in inches) on the diameters of tree trunks, measured at waist level and growing at 2000’ elevation in the Cascade Mountains: 9.0, 6.2, 6.5, 7.0, 10.5 and 8.8. If you assume that the data is normally distributed, then the reasonable range of values that you would expect to see in a 95% confidence interval for the population mean based on a typical sample of this size selected from this population of trees would be: (a) 5.85” to 8.95” (b) 6..22” to 9.78” (c) 6.58” to 9.42” (d) 7.17” to 9.25” (e) 6.75” to 10.18”
You intend to estimate a population mean with the following sample. 15.5 19.9 39 42 31.8 You believe the population is normally distributed. Find the 90% confidence interval. Enter your answer as an open-interval (parentheses) accuarte to two decimal places (because the sample data are reported accurate to one decimal place).
Refer to the following scenario. An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 332 people living in East Vancouver and finds that 40 have recently had the flu. Suppose that the epidemiologist wants to re-estimate the population proportion and wishes for her 95% confidence interval to have a margin of error no larger than 0.04. How large a sample should she take to achieve this? Sample size =
An epidemiologist is worried about the prevalence of the flu in East Vancouver and the potential shortage of vaccines for the area. She will need to provide a recommendation for how to allocate the vaccines appropriately across the city. She takes a simple random sample of 339 people living in East Vancouver and finds that 40 have recently had the flu. For each of the following statements, specify whether the statement is a correct interpretation of the 95% confidence interval for the true proportion of East Vancouver residents who have recently had the flu. A. 11.80% (40/339) of East Vancouver residents have recently had the flu. ? true false B. There is a 95% probability that the true proportion of East Vancouver residents who have recently had the flu equals 40/339. ? true false C. If another random sample of 339 East Vancouver residents is drawn, there is a 95% probability that the sample proportion of East Vancouver residents who have recently had the flu equals 40/339. ?…

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places (because the sample data are reported accurate to one decimal place). 80% C.I. = Answer should be obtained without any preliminary rounding. However, the critical value may be rounded to 3 decimal places.