A customer asked you to explain your choice of a temperature sensor that you used for his PCB. Initially, there were two sensor options. To compare between them, you decided to test their accuracy and precision. Accuracy of a sensor is a measure of how near its reading is to the real value, the nearer the measured value to the real value the better. While precision is a measure of how widely spread the readings of a sensor are [relative to each other] when measuring the same variable, the narrower the spread the better. So, you tested the two sensors by measuring the same temperature, which was 100 C of boiling water, and you recorder the following 10 measurements of each sensor. Which Sensor has higher accuracy, and which one has higher precision.
Answer Task 1, Please.
![A customer asked you to explain your choice of a temperature sensor that you used for his PCB.
Initially, there were two sensor options. To compare between them, you decided to test their accuracy
and precision. Accuracy of a sensor is a measure of how near its reading is to the real value, the nearer
the measured value to the real value the better. While precision is a measure of how widely spread the
readings of a sensor are [relative to each other] when measuring the same variable, the narrower the
spread the better. So, you tested the two sensors by measuring the same temperature, which was 100
C of boiling water, and you recorder the following 10 measurements of each sensor. Which Sensor has
higher accuracy, and which one has higher precision.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F75e080c3-d5d6-46a9-9a7d-8d9f775fa23d%2F78c76bd5-8e8f-46eb-ae35-6241222978c6%2Fyikwbz6.png&w=3840&q=75)
Note:
Hi there! Thank you for posting the question. As your question has 2 different questions, we have solved only the first question for you. If you need the other question to be answered, please re-submit the question by specifying the question number or name.
Obtain the descriptive statistics for the two sensors:
Mean of first sensor S1:
The mean of the sensor S1 is obtained as 100.14 from the calculation given below:
Standard deviation of first sensor S1:
The standard deviation of the sensor S1 is obtained as 1.7384 from the calculation given below:
Mean of second sensor S2:
The mean of the sensor S2 is obtained as 98.997 from the calculation given below:
Standard deviation of second sensor S2:
The standard deviation of the sensor S2 is obtained as 0.1895 from the calculation given below:
Obtain the sensor with higher accuracy:
It is given that the sensor which is nearer to the real value reading is most accurate one.
The real value of reading is 100.
Now the distance between the mean reading of sensors and real value have to be measured. The sensor with smallest distance have to be considered as most accurate sensor.
The distance between sensor S1 reading and real value is obtained as given below:
The distance between sensor S2 reading and real value is obtained as given below:
Among the two distance, 0.14 is smaller than 1.003.
Therefore, the readings of sensor 1 are nearer to real value.
Therefore, the sensor S1 is more accurate.
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