Two of the hottest smartphones on the market are the newly released iPhone6 and the Samsung Galaxy S6. CNet.com offers online reviews of all major cell phones, including battery life tests. In a review of the iPhone6, the talk-time battery life of 35 iPhones was measured. Similarly, the talk-time battery life of 30 Galaxy S6s was measured.Two outputs are given below. Which is appropriate for analyzing the data collected? Output 1Output 2 Using the StatCrunch output chosen above, determine if there is a difference in the mean battery life for the two phones. Use a significance level of 0.01 when conducting the test. Select the appropriate hypotheses. Make sure the notation used in the hypotheses agrees with the type of samples selected in the output.Ho:μd=0Ho:μd=0Ha:μd<0Ha:μd<0Ho:μd=0Ho:μd=0Ha:μd≠0Ha:μd≠0Ho:μd=0Ho:μd=0Ha:μd>0Ha:μd>0Ho:μ1=μ2Ho:μ1=μ2Ha:μ1>μ2Ha:μ1>μ2Ho:μ1=μ2Ho:μ1=μ2Ha:μ1≠μ2Ha:μ1≠μ2Ho:μ1=μ2Ho:μ1=μ2Ha:μ1<μ2Ha:μ1<μ2αα = reject HoHo if probability ? > ≠ < αα TS: t = probability = (make sure you reference the probabilities in the output you selected in the first question)decision: Select an answer fail to reject H₀ reject H₀ At the 0.01 level, there Select an answer is not is significant evidence to conclude the mean battery life for an iPhone 6 is Select an answer greater than different than less than than the mean for a Galaxy S6. **Comparing Battery Life: iPhone 6 vs. Samsung Galaxy S6**Two of the most popular smartphones on the market are the newly released iPhone 6 and the Samsung Galaxy S6. CNet.com provides online reviews of these phones, including battery life tests. In a review, the talk-time battery life of 35 iPhones was measured, and similarly, the talk-time battery life of 40 Galaxy S6s was measured.Two statistical outputs are provided below. Choose the appropriate output for analyzing the data:**Output 1:**- $\mu_1$: Mean of iPhone 6- $\mu_2$: Mean of Galaxy S6- **Difference**: $\mu_1 - \mu_2$ - Sample Difference: $-0.71759861$ - Standard Error: $0.189403$- **Possible p-values**: $0.0001, 0.0002, 0.9999$**Output 2:**- $\mu_d$: Mean of the paired difference between iPhone 6 and Galaxy S6- **Difference**: iPhone 6 - Galaxy S6 - Sample Difference: $-0.754246$ - Standard Error: $0.192151$- **Possible p-values**: $0.0002, 0.0004, 0.9998$**Task:**- Select either Output 1 or Output 2.**Hypothesis Testing:**Using the chosen StatCrunch output, determine if there is a significant difference in the mean battery life for the two phones. Use a significance level of 0.05 when conducting the test.- **Select the appropriate hypothesis:** - $H_0: \mu_d = 0$ - $H_0: \mu_1 = \mu_2$ - $H_0: \mu_1 \neq \mu_2$ - $H_a: \mu_d < 0$ - $H_a: \mu_d > 0$ - $H_a: \mu_1 > \mu_2$ - $H_a: \mu_1 \neq \mu_2$ - \(H_a: \mu_1 < \

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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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Two of the hottest smartphones on the market are the newly released iPhone6 and the Samsung Galaxy S6. CNet.com offers online reviews of all major cell phones, including battery life tests. In a review of the iPhone6, the talk-time battery life of 35 iPhones was measured. Similarly, the talk-time battery life of 30 Galaxy S6s was measured.

Two outputs are given below. Which is appropriate for analyzing the data collected?

Output 1
Output 2

Using the StatCrunch output chosen above, determine if there is a difference in the mean battery life for the two phones. Use a significance level of 0.01 when conducting the test.

Select the appropriate hypotheses. Make sure the notation used in the hypotheses agrees with the type of samples selected in the output.

Ho:μd=0Ho:μd=0
Ha:μd<0Ha:μd<0

Ho:μd=0Ho:μd=0
Ha:μd≠0Ha:μd≠0

Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0

Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1>μ2Ha:μ1>μ2

Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2

Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1<μ2Ha:μ1<μ2
αα = reject HoHo if probability ? > ≠ < αα
TS: t =
probability = (make sure you reference the probabilities in the output you selected in the first question)
decision: Select an answer fail to reject H₀ reject H₀
At the 0.01 level, there Select an answer is not is significant evidence to conclude the mean battery life for an iPhone 6 is Select an answer greater than different than less than than the mean for a Galaxy S6.

**Comparing Battery Life: iPhone 6 vs. Samsung Galaxy S6**

Two of the most popular smartphones on the market are the newly released iPhone 6 and the Samsung Galaxy S6. CNet.com provides online reviews of these phones, including battery life tests. In a review, the talk-time battery life of 35 iPhones was measured, and similarly, the talk-time battery life of 40 Galaxy S6s was measured.

Two statistical outputs are provided below. Choose the appropriate output for analyzing the data:

**Output 1:**
- $\mu_1$: Mean of iPhone 6
- $\mu_2$: Mean of Galaxy S6
- **Difference**: $\mu_1 - \mu_2$
- Sample Difference: $-0.71759861$
- Standard Error: $0.189403$

- **Possible p-values**: $0.0001, 0.0002, 0.9999$

**Output 2:**
- $\mu_d$: Mean of the paired difference between iPhone 6 and Galaxy S6
- **Difference**: iPhone 6 - Galaxy S6
- Sample Difference: $-0.754246$
- Standard Error: $0.192151$

- **Possible p-values**: $0.0002, 0.0004, 0.9998$

**Task:**
- Select either Output 1 or Output 2.

**Hypothesis Testing:**
Using the chosen StatCrunch output, determine if there is a significant difference in the mean battery life for the two phones. Use a significance level of 0.05 when conducting the test.

- **Select the appropriate hypothesis:**

- $H_0: \mu_d = 0$
- $H_0: \mu_1 = \mu_2$
- $H_0: \mu_1 \neq \mu_2$
- $H_a: \mu_d < 0$
- $H_a: \mu_d > 0$
- $H_a: \mu_1 > \mu_2$
- $H_a: \mu_1 \neq \mu_2$
- \(H_a: \mu_1 < \

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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