The heights of a random sample of 50 college students showed a mean of 181.6 centimeters and a standard deviation of 6.9 centimeters.(a) Construct a 98% confidence interval for the mean height of all college students.(b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 181.6 centimeters?Click here to view page 1 of the standard normal distribution table.Click here to view page 2 of the standard normal distribution table.Click here to view page 1 of the table of critical values of the t-distribution.Click here to view page 2 of the table of critical values of the t-distribution......(a) The confidence interval is <µ<.(Round to two decimal places as needed.)

Answered: The heights of a random sample of 50…

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 researcher would like to estimate the mean amount of money that a family spends to within $75. If the amount spent by a family is considered to be normally distributed with a standard deviation of $412, what sample size would be necessary to be 93% confident?
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Humerus bones from the same species of animal have approximately the same length-to-width ratios. It is known that Species A has a mean ratio of 5.9. Suppose that 100 fossil humerus bones were unearthed at a site where Species A is known to have flourished. (We assume that all bones are from the same species.) The length-to-width ratios of these bones have a sample mean 5.6 and sample standard deviation 0.25. Can we conclude that the mean ratio of these bones is significantly smaller than those of Species A? Test with a 0.01 significance level. What is the standard error?
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The heights of a random sample of 40 college students showed a mean of 169.9 centimeters and a standard deviation of 7.4 centimeters. (a) Construct a 98% confidence interval for the mean height of all college students. (b) What can we assert with 98% confidence about the possible size of our error if we estimate the mean height of all college students to be 169.9 centimeters? Click here to view page 1 of the standard normal distribution table. Click here to view page 2 of the standard normal distribution table. Click here to view page 1 of the table of critical values of the t-distribution. Click here to view page 2 of the table of critical values of the t-distribution.

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