2. It is thought that a new process for producing a certain chemical may be cheaper than the currently used process. Each process was run 10 times, and the cost of producing 100 L of the chemical was determined each time. The results, in dollars, were as follows: New Process 55 62 64 66 68 61 58 65 68 76 Old Process 60 61 66 65 59 64 60 61 64 70 a) State the appropriate null and alternative hypotheses. b) Compute the test statistics c) Determine the P-value d) State the conclusion.
2. It is thought that a new process for producing a certain chemical may be cheaper than the currently used process. Each process was run 10 times, and the cost of producing 100 L of the chemical was determined each time. The results, in dollars, were as follows: New Process 55 62 64 66 68 61 58 65 68 76 Old Process 60 61 66 65 59 64 60 61 64 70 a) State the appropriate null and alternative hypotheses. b) Compute the test statistics c) Determine the P-value d) State the conclusion.
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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### Statistical Analysis of Chemical Production Costs
2. It is thought that a new process for producing a certain chemical may be cheaper than the currently used process. Each process was run 10 times, and the cost of producing 100 L of the chemical was determined each time. The results, in dollars, were as follows:
- **New Process:** 55, 62, 64, 66, 68, 61, 58, 65, 68, 76
- **Old Process:** 60, 61, 66, 65, 59, 64, 60, 61, 64, 70
#### Tasks to Perform:
a) **State the appropriate null and alternative hypotheses.**
b) **Compute the test statistics.**
c) **Determine the P-value.**
d) **State the conclusion.**
---
This exercise involves comparing the costs between two processes using statistical techniques such as hypothesis testing to determine if the new process is significantly cheaper than the current one.
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