Answered: Construct a 95%95% confidence interval…

Name: Steve believes that his wife’s cell phone battery does not last as lon
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Steve believes that his wife’s cell phone battery does not last as long as his cell phone battery. On twelve different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 24.124.1 hours with a stan

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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Steve believes that his wife’s cell phone battery does not last as long as his cell phone battery. On twelve different occasions, he measured the length of time his cell phone battery lasted and calculated that the mean was 24.124.1 hours with a standard deviation of 4.34.3 hours. He measured the length of time his wife’s cell phone battery lasted on seven different occasions and calculated a mean of 15.515.5 hours with a standard deviation of 6.86.8 hours. Assume that the population variances are the same. Let Population 1 be the battery life of Steve’s cell phone and Population 2 be the battery life of his wife’s cell phone.

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Construct a 95%95% confidence interval for the true difference in mean battery life between Steve’s cell phone and his wife’s. Round the endpoints of the interval to one decimal place, if necessary.

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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