Answer: The temperature reading from a thermocouple placed

Chapter 4, Problem 42E

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QUESTION:

Problem 42E

The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean , the actual temperature of the medium, and standard deviation . What would the value of σ have to be to ensure that 95% of all readings are within. 1 ° of μ?

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QUESTION:

Problem 42E

The temperature reading from a thermocouple placed in a constant-temperature medium is normally distributed with mean , the actual temperature of the medium, and standard deviation . What would the value of σ have to be to ensure that 95% of all readings are within. 1 ° of μ?

ANSWER:

Answer

Step 1 of 2

Here we need to find  σ value

0.95=P(0.1)

0.95=P(0.1/)

       =P(-0.1/

       =)-(1-))

0.975 =)

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