Need help with a 90% confidence interval and a 95% Confidence interval? A random sample of 100 observations from a normally distributed population possesses a mean equal to 76.4 and a standard deviation equal to 9.6. Use thisinformation to complete parts a through e below.a. Find a 95% confidence interval for u.(Round to two decimal places as needed.)

Given,sample size, sample mean, sample standard deviation,

Answered: A random sample of 100 observations…

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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You plan to find a confidence interval for the percentage of children who have speech delays. A small pilot study finds that 6% of children have speech delays. If you want a 90% confidence interval with a margin of error of 3%, what is the minimum sample size you must take?
A random sample of 40 12th-grade students was asked how long it took to get to school. The sample mean was 15.5 minutes and the sample standard deviation was 12.7 minutes. a. Find a 95% confidence interval for the population mean time it takes 12th-grade students to get to school. b. Would a 90% confidence interval based on this sample data be wider or narrower than the 95% confidence interval? Explain. Check your answer by constructing a 90% confidence interval and comparing the width of the interval with the width of the 95% confidence interval you found in part (a). a. The 95% confidence interval is from minutes to minutes. (Round to two decimal places as needed. Use ascending order.) b. Would a 90% confidence interval based on this sample be wider or narrower than the 95% confidence interval? O A. The 90% interval is wider because it has a lower confidence level, and therefore uses a smaller critical value, which creates a wider interval. O B. The 90% interval is wider because it…
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A random sample of 100 observations from a normally distributed population possesses a mean equal to 76.4 and a standard deviation equal to 9.6. Use this information to complete parts a through e below. ..... a. Find a 95% confidence interval for u. (Round to two decimal places as needed.)