Answered: An inventor has developed a new,…

Name: An inventor has developed a new, energy-efficient battery for an iPod
Uploaded: 2024-03-20T07:07:12.000Z
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Description: An inventor has developed a new, energy-efficient battery for an iPod speaker. He claims that the battery will run continuously for 5 hours (300 minutes) on a single charge. From his stock of 2000 batteries, the inventor selects a simple random sampl

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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An inventor has developed a new, energy-efficient battery for an iPod speaker. He claims that the battery will run continuously for 5 hours (300 minutes) on a single charge. From his stock of 2000 batteries, the inventor selects a simple random sample of 50 batteries for testing. The batteries run for an average of 295 minutes, with a standard deviation of 20 minutes. Test the null hypothesis that the mean run time is 300 minutes. Use a 0.05 level of significance.

since the standard deviation was provided, I assumed that the it could be solved using the Z value.

Would that be the case? or should I solve using a t-test?

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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