Answered: . You are given the sample mean and…

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 are given the sample mean and the population standard deviation. Use this information to construct the 90% and 95% confidence intervals for the population mean. Interpret the results and compare the widths of the confidence intervals. If convenient, use technology to construct the confidence intervals. A random sample of 40 home theater systems has a mean price of $127.00. Assume the population standard deviation is $19.30. Construct a 90% confidence interval for the population mean. The 90% confidence interval is

A study of lobster trap placement used a 95% confidence interval to estimate the mean trap spacing (in meters) for the population of red spiny lobster fishermen fishing in the west coast. How many teams of fisherman would need to be sampled in order to reduce the width of the confidence interval to 6 meters? Assume prior knowledge indicates that the trap spacing readings for the population of red spiny lobster taken during a day are approximately normally distributed with a standard deviation of 12.2 meters. The experiment must sample how many teams of fisherman in order to reduce the width of the confidence interval to 6 meters.

Use the confidence interval to find the estimated margin of error. Then find the sample mean. A store manager reports a confidence interval of (42.7,77.5) when estimating the mean price (in dollars) for the population of textbooks. what is the margin of error and the sample mean.

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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