MATLAB: An Introduction with Applications
6th Edition
ISBN: 9781119256830
Author: Amos Gilat
Publisher: John Wiley & Sons Inc
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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
- 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<0Ho:μd=0Ho:μd=0
Ha:μd≠0Ha:μd≠0Ho:μd=0Ho:μd=0
Ha:μd>0Ha:μd>0Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1>μ2Ha:μ1>μ2Ho:μ1=μ2Ho:μ1=μ2
Ha:μ1≠μ2Ha:μ1≠μ2Ho: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.
Transcribed Image Text:**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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