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Company X claims that its cell phones last significantly longer than cell phones sold by Company Y. The company collected the mean length of time that cell phones from each company last before needing to be replaced. Sample Mean Sample Standard Deviation Sample Size Company A Company B 3.456 2.876 0.68 80 80 Is there sufficient evidence to reject the null hypothesis (that the mean length of time for the two populations is equal) at a significance level of 0.01? Oz-score = 4.7657, P-value < 0.00001; reject the null hypothesis Oz-score = 4.7657, P-value < 0.00001; fail to reject the null hypothesis 1-score = 6.7398, P-value <0.00001; reject the null hypothesis Or-score = 6.7398, P-value < 0.00001; fail to reject the null hypothesis

Company X claims that its cell phones last significantly longer than cell phones sold by Company Y. The company collected the mean length of time that cell phones from each company last before needing to be replaced. Sample Mean Sample Standard Deviation Sample Size Company A Company B 3.456 2.876 0.68 80 80 Is there sufficient evidence to reject the null hypothesis (that the mean length of time for the two populations is equal) at a significance level of 0.01? Oz-score = 4.7657, P-value < 0.00001; reject the null hypothesis Oz-score = 4.7657, P-value < 0.00001; fail to reject the null hypothesis 1-score = 6.7398, P-value <0.00001; reject the null hypothesis Or-score = 6.7398, P-value < 0.00001; fail to reject the null hypothesis

MATLAB: An Introduction with Applications
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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Company X claims that 

**Company Comparison Study: Longevity of Cell Phones** Company X claims that its cell phones last significantly longer than those sold by Company Y. To investigate this, the company collected data on the mean lifetime of cell phones before needing replacement from each company. **Data Summary:** | | Sample Mean | Sample Standard Deviation | Sample Size | |----------------|-------------|---------------------------|-------------| | **Company A** | 3.456 | 0.85 | 80 | | **Company B** | 2.876 | 0.68 | 80 | **Statistical Hypothesis Testing:** The goal is to determine if there is sufficient evidence to reject the null hypothesis, which states that the mean lifetime of phones from the two companies is equal, at a significance level of 0.01. **Options for Z-score and P-value Analysis:** 1. **Z-score** = -7.657, **P-value** < 0.00001: Reject the null hypothesis. 2. **Z-score** = -7.657, **P-value** < 0.00001: Fail to reject the null hypothesis. 3. **Z-score** = 6.7398, **P-value** < 0.00001: Reject the null hypothesis. 4. **Z-score** = 6.7398, **P-value** < 0.00001: Fail to reject the null hypothesis. Choose the correct statistical conclusion based on the calculated Z-score and P-value to determine the validity of Company X's claim.
Transcribed Image Text:**Company Comparison Study: Longevity of Cell Phones** Company X claims that its cell phones last significantly longer than those sold by Company Y. To investigate this, the company collected data on the mean lifetime of cell phones before needing replacement from each company. **Data Summary:** | | Sample Mean | Sample Standard Deviation | Sample Size | |----------------|-------------|---------------------------|-------------| | **Company A** | 3.456 | 0.85 | 80 | | **Company B** | 2.876 | 0.68 | 80 | **Statistical Hypothesis Testing:** The goal is to determine if there is sufficient evidence to reject the null hypothesis, which states that the mean lifetime of phones from the two companies is equal, at a significance level of 0.01. **Options for Z-score and P-value Analysis:** 1. **Z-score** = -7.657, **P-value** < 0.00001: Reject the null hypothesis. 2. **Z-score** = -7.657, **P-value** < 0.00001: Fail to reject the null hypothesis. 3. **Z-score** = 6.7398, **P-value** < 0.00001: Reject the null hypothesis. 4. **Z-score** = 6.7398, **P-value** < 0.00001: Fail to reject the null hypothesis. Choose the correct statistical conclusion based on the calculated Z-score and P-value to determine the validity of Company X's claim.
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