The mean and standard deviation of a random sample of n measurements are equal to 34.9 and 3.1 respectively. Solve A-C The mean and standard deviation of a random sample of n measurements are equal to 34.9 and 3.1, respectively.a. Find a 99% confidence interval for u ifn= 144.b. Find a 99% confidence interval for u if n = 576.c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed?a. The 99% confidence interval for u if n= 144 is approximàtely (| | D(Round to three decimal places as needed.)b. The 99% confidence interval p if n = 576 is approximately ( |(Round to three decimal places as needed.)c. Choose the correct answer below.O A. Cadrupling the sample size while holding the confidence coefficient fixed increases the width of the confidence interval by a factor of 4.B. Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the confidence interval by a factor of 2.OC. Quadrupling the sample size while holding the confidence coefficient fixed does not affect the width of the confidence interval.D. Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 4.O E. Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 2.Click to select your answer(s).

Answered: The mean and standard deviation of a…

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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The mean and standard deviation of a random sample of n measurements are equal to 34.9 and 3.1 respectively. Solve A-C

The mean and standard deviation of a random sample of n measurements are equal to 34.9 and 3.1, respectively.
a. Find a 99% confidence interval for u ifn= 144.
b. Find a 99% confidence interval for u if n = 576.
c. Find the widths of the confidence intervals found in parts a and b. What is the effect on the width of a confidence interval of quadrupling the sample size while holding the confidence coefficient fixed?
a. The 99% confidence interval for u if n= 144 is approximàtely (| | D
(Round to three decimal places as needed.)
b. The 99% confidence interval p if n = 576 is approximately ( |
(Round to three decimal places as needed.)
c. Choose the correct answer below.
O A. Cadrupling the sample size while holding the confidence coefficient fixed increases the width of the confidence interval by a factor of 4.
B. Quadrupling the sample size while holding the confidence coefficient fixed increases the width of the confidence interval by a factor of 2.
OC. Quadrupling the sample size while holding the confidence coefficient fixed does not affect the width of the confidence interval.
D. Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 4.
O E. Quadrupling the sample size while holding the confidence coefficient fixed decreases the width of the confidence interval by a factor of 2.
Click to select your answer(s).

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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