Answered: Apple claims that the iPad has very…

Name: Apple claims that the iPad has very good battery life. Albert collecte
Uploaded: 2024-03-20T07:07:12.000Z
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Description: Apple claims that the iPad has very good battery life. Albert collected a simple random sample of 30 new iPads and tested their battery life. He found the mean battery lifetime of the 30 iPads is 11.5 hours and the sample standard deviation(s) is 3.5

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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Apple claims that the iPad has very good battery life. Albert collected a simple random sample of 30 new iPads and tested their battery life. He found the mean battery lifetime of the 30 iPads is 11.5 hours and the sample standard deviation(s) is 3.5 hours. Suppose that the battery life of the iPad follows (approximately) a normal distribution.

Assume that we want to conduct a two-tailed hypothesis test (alpha = .01) to check that the true mean battery life is different than 10.

What is the test statistic?

What is the p-value?

Would we reject null hypothesis?

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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