Solve the problem.The following confidence interval is obtained for a population proportion, \( p \): (0.318, 0.569). Use these confidence interval limits to find the point estimate, \( \hat{p} \). [Input Box]

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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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Use the t-distribution to find a confidence interval for a mean given the relevant sample results. Give the best point estimate for μ, the margin of error, and the confidence interval. Assume the results come from a random sample from a population that is approximately normally distributed. A 95% confidence interval for using the sample results x = 92.1, s = 7.8, and n = 42 Round your answer for the point estimate to one decimal place, and your answers for the margin of error and the confidence interval to two decimal places. point estimate= i margin of error = The 95% confidence interval is Save for lat to
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A statistics class is estimating the mean height of all female students at their college. They collect a random sample of 42 female students and measure their heights. The mean of the sample is 65.3 inches and the sample standard deviation is 5.4 inches. Find the 90% confidence interval for the mean height of all female students in their school? Assume that the distribution of individual female heights at this school is approximately normal. 1. The t value is 1.3025 2. The standard error has a value of -- 3. The margin of error has a value of 4. Find the 90% confidence interval for the mean height of all female students in their school
If n=27, x¯(x-bar)=41, and s=3, construct a confidence interval at a 98% confidence level. Assume the data came from a normally distributed population.Give your answers to one decimal place. _________< μ< _______
Construct the confidence interval for the population mean μ. c=0.90, x=16.7, σ=7.0, and n=45
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If n=400 and X=80, construct a 90% confidence interval estimate for the population proportion. ______≤π≤_____ (Round to four decimal places as needed
#21). Show how to solve and work.
You are interested in constructing a 99% confidence interval for the population of all caterpillars that eventually become butterflies. Of the 413 randomly selected caterpillars observed, 59 lived to become butterflies. Round answers to 4 decimal places where possible. a. With 99% confidence the proportion of all caterpillars that lived to become a butterfly is between _________ and ________. b. If many groups of 413 randomly selected caterpillars were observed, then a different confidence interval would be produced from each group. About ________ percent of these confidence intervals will contain the true population proportion of caterpillars that become butterflies and about ________ percent will contain the true population proportion.

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Solve the problem. The following confidence interval is obtained for a population proportion, p: (0.318,0.569). Use these confidence interval limits to find the point estimate, p.