Please use the accompanying Excel data set or accompanying Text file data set when completing the following exercise. The yield of a chemical process is being studied. From previous experience, yield is known to be normally distributed and 6 = 3. The past five days of plant operation have resulted in the following yields 91.6, 88.75, 90.8, 89.86, and 91.7. Find a 95% two-sided confidence interval on the true mean yield. (a) Calculate the sample mean. Round your answer to 2 decimal places. x = (b) Calculate the 95% two-sided confidence interval on the true mean yield. Round your answers to 1 decimal place. SHS i

A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
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### Chemical Process Yield Analysis

Please use the accompanying [Excel data set](#) or accompanying [Text file data set](#) when completing the following exercise.

The yield of a chemical process is being studied. From previous experience, yield is known to be normally distributed with \( \sigma = 3 \). The past five days of plant operation have resulted in the following yields: 91.6, 88.75, 90.8, 89.86, and 91.7. Find a 95% two-sided confidence interval on the true mean yield.

#### Steps to Follow:

##### (a) Calculate the Sample Mean
Round your answer to 2 decimal places.

\[ \bar{x} = \]

[Info Icon]

##### (b) Calculate the 95% Two-Sided Confidence Interval on the True Mean Yield
Round your answers to 1 decimal place.

\[ \text{Confidence Interval: } \quad \text{[Info Icon]} \quad \leq \quad \mu \quad \leq \quad \text{[Info Icon]} \]

By following these steps, you will determine the sample mean and construct a 95% confidence interval for the true mean yield based on the given data.
Transcribed Image Text:### Chemical Process Yield Analysis Please use the accompanying [Excel data set](#) or accompanying [Text file data set](#) when completing the following exercise. The yield of a chemical process is being studied. From previous experience, yield is known to be normally distributed with \( \sigma = 3 \). The past five days of plant operation have resulted in the following yields: 91.6, 88.75, 90.8, 89.86, and 91.7. Find a 95% two-sided confidence interval on the true mean yield. #### Steps to Follow: ##### (a) Calculate the Sample Mean Round your answer to 2 decimal places. \[ \bar{x} = \] [Info Icon] ##### (b) Calculate the 95% Two-Sided Confidence Interval on the True Mean Yield Round your answers to 1 decimal place. \[ \text{Confidence Interval: } \quad \text{[Info Icon]} \quad \leq \quad \mu \quad \leq \quad \text{[Info Icon]} \] By following these steps, you will determine the sample mean and construct a 95% confidence interval for the true mean yield based on the given data.
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