(b) What standard deviation of ¯x do you need such that 95% of all samples will have a mean within5 minutes of μ? i just need part b. 6.25 Determining sample size. Refer to the previous exercise. You really want to use asample size such that about 95% of the averages fall within ±5 minutes of the true mean u = 6.78.(a) Based on your answer to part (b) in Exercise 6.24, should the sample size be larger or smallerthan 175? Explain.(b) What standard deviation of a do you need such that 95% of all samples will have a mean within5 minutes of u?(c) Using the standard deviation you calculated in part (b), determine the number of students youneed to sample.

Introduction: The 100 (1 – α) % confidence interval for the population mean, μ, when the population…

Answered: (b) What standard deviation of ¯x do…

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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(b) What standard deviation of ¯x do you need such that 95% of all samples will have a mean within
5 minutes of μ?

i just need part b.

6.25 Determining sample size. Refer to the previous exercise. You really want to use a
sample size such that about 95% of the averages fall within ±5 minutes of the true mean u = 6.78.
(a) Based on your answer to part (b) in Exercise 6.24, should the sample size be larger or smaller
than 175? Explain.
(b) What standard deviation of a do you need such that 95% of all samples will have a mean within
5 minutes of u?
(c) Using the standard deviation you calculated in part (b), determine the number of students you
need to sample.

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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