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Statistics / Statistics for Engineers and Scientists 4 / Chapter 3.2 / Problem 17E

Statistics for Engineers and Scientists | 4th Edition | ISBN: 9780073401331 | Authors: William Navidi

A certain chemical process is run 10 times at a

Chapter 3, Problem 17E

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QUESTION:

A certain chemical process is run 10 times at a temperature of $65^{\circ} \mathrm{C}$ and 10 times at a temperature of $80^{\circ} \mathrm{C}$. The yield at each run was measured as a percent of a theoretical maximum. The data are presented in the following table.

$65^{\circ} \mathrm{C}$	$71.3$	$69.1$	$70.3$	$69.9$	$71.1$	$70.7$	$69.8$	$68.5$	$70.9$	$69.8$
$80^{\circ} \mathrm{C}$	$90.3$	$90.8$	$91.2$	$90.7$	$89.0$	$89.7$	$91.3$	$91.2$	$89.7$	$91.1$

a. For each temperature, estimate the mean yield and find the uncertainty in the estimate.

b. Estimate the difference between the mean yields at the two temperatures, and find the uncertainty in the estimate.

Equation Transcription:

$6{5}^{o}C$

$8{0}^{o}C$

$6{5}^{o}C$

$8{0}^{o}C$

Text Transcription:

65^oC

80^oC

65^oC

80^oC

Questions & Answers

QUESTION:

$65^{\circ} \mathrm{C}$	$71.3$	$69.1$	$70.3$	$69.9$	$71.1$	$70.7$	$69.8$	$68.5$	$70.9$	$69.8$
$80^{\circ} \mathrm{C}$	$90.3$	$90.8$	$91.2$	$90.7$	$89.0$	$89.7$	$91.3$	$91.2$	$89.7$	$91.1$

a. For each temperature, estimate the mean yield and find the uncertainty in the estimate.

b. Estimate the difference between the mean yields at the two temperatures, and find the uncertainty in the estimate.

Equation Transcription:

$6{5}^{o}C$

$8{0}^{o}C$

$6{5}^{o}C$

$8{0}^{o}C$

Text Transcription:

65^oC

80^oC

65^oC

80^oC

ANSWER:

Step 1 of 3:

Here we are given with data of a chemical process which run 10 times at ${65}^{\circ{}}$ C and 10 times at ${80}^{\circ{}}$ C.

The data is as follows

${65}^{\circ{}}$ C

${80}^{\circ{}}$ C.

71.3,69.1,70.3,69.9,71.1,70.7,69.8,68.5,70.9,69.8

90.3,90.8,91.2,90.7,89.7,89.7,91.3,91.2,89.7,91.1

Using this we have to find the required values.

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A certain chemical process is run 10 times at a

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\(65^{\circ} \mathrm{C}\)	$71.3$	$69.1$	$70.3$	$69.9$	$71.1$	$70.7$	$69.8$	$68.5$	$70.9$	$69.8$
\(80^{\circ} \mathrm{C}\)	$90.3$	$90.8$	$91.2$	$90.7$	$89.0$	$89.7$	$91.3$	$91.2$	$89.7$	$91.1$

Solution Found!

A certain chemical process is run 10 times at a

Questions & Answers

Study Tools You Might Need

Chapter: 5 Problem: 67P

Chapter: 23 Problem: 24

Chapter: 30 Problem: 13P

Chapter: 16 Problem: Q16.7

Chapter: 2 Problem: 2.19

Chapter: 1 Problem: 1

Chapter: 13 Problem: 1

Chapter: 3 Problem: 39

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