Apple claims its iPhone 11 has a battery life that will last all day. 14 iphone 11's were tested to see the actual battery life in hours under average use. (Data is simulated to be normally distributed and based on reviews). Hours18.415.216.415.115.816.415.116.815.31619.615.815.915.4 Do we have enough evidence at the 5% significance level to conclude that the battery life is over 12 hours? (This is considered "all day" for phone battery life.)What are the correct hypotheses? p-value=The correct decision is to___.The correct summary would be: ___ that the mean number of hours the battery lasts is more than 12 hours.

Let μ denotes the population mean battery life. The test is to check whether it can be conclude that…

Answered: Do we have enough evidence at the 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 its iPhone 11 has a battery life that will last all day. 14 iphone 11's were tested to see the actual battery life in hours under average use. (Data is simulated to be normally distributed and based on reviews).

Hours
18.4
15.2
16.4
15.1
15.8
16.4
15.1
16.8
15.3
16
19.6
15.8
15.9
15.4

Do we have enough evidence at the 5% significance level to conclude that the battery life is over 12 hours? (This is considered "all day" for phone battery life.)

What are the correct hypotheses?

p-value=

The correct decision is to___.

The correct summary would be: ___ that the mean number of hours the battery lasts is more than 12 hours.

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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