**Hypothesis Testing and Confidence Intervals for CFL Mean Life**A quality-control manager at a compact fluorescent light bulb (CFL) factory needs to determine if the mean life of a large shipment of CFLs is equal to 7,466 hours. The population standard deviation is 92 hours, and a random sample of 64 light bulbs indicates a sample mean life of 7,443 hours.a. **Hypothesis Test at 0.05 Significance Level** - **Objective:** Determine if there is evidence that the mean life is different from 7,466 hours. - **Null Hypothesis (H₀):** The population mean (μ) is equal to 7,466 hours. - **Alternative Hypothesis (H₁):** The population mean (μ) is not equal to 7,466 hours.b. **Compute and Interpret the p-value**c. **Construct a 95% Confidence Interval** - Estimate the population mean life of the light bulbs.d. **Comparison and Conclusions** - Compare the results from parts (a) and (c), and discuss the conclusions.**Detailed Breakdown****a. Hypotheses Setup**- **Null Hypothesis (H₀):** μ = 7,466- **Alternative Hypothesis (H₁):** μ ≠ 7,466 This setup will determine if the mean life of the CFLs is significantly different from 7,466 hours.

a. Consider that μ is the mean life of a large shipment of CFLs.

Answered: The quality-control manager at a…

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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