Answered: question 3: A simple random sample of…

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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question 3: A simple random sample of 10 items resulted in a sample mean of 30 . The population standard deviation is 10 .

a. Compute the 95 % confidence interval for the population mean. Round your answers to one decimal place.
( , ) , ( , )

b. Assume that the same sample mean was obtained from a sample of 120 items. Provide a 95 % confidence interval for the population mean. Round your answers to two decimal places.

( , ) , ( ,)

question 6

Wall Street Journal reported on several studies that show massage therapy has a variety of health benefits and it is not too expensive. A sample of 11 typical one-hour massage therapy sessions showed an average charge of 58 . The population standard deviation for a one-hour session is $5.35

b. Using 95% confidence, what is the margin of error (to 2 decimals)?

c. Using 99% confidence, what is the margin of error (to 2 decimals)

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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