Two types of force sensors (A and B) to measure the applied force (Ib) at the tip of a cantileve in a student Lab. The two data sets are shown below: 1. Standard Average N Deviation A 140.2 10.01 12 B 145.5 8.96 14 a. Estimate the interval of the true mean with 95% confidence, using data from sensor A. b. How many more measurements are needed for sensor A to have the same interval with 99% confidence (assume the mean and standard deviation are the same)? c. How many measurements (out of 12) using sensor A to have force greater 142 (randomly sampled)? d. What is the probability to have the true mean force greater 142 using sensor A? e. Determine if there is a difference between the two sensors A and B with 95% of confidence.
Two types of force sensors (A and B) to measure the applied force (Ib) at the tip of a cantileve in a student Lab. The two data sets are shown below: 1. Standard Average N Deviation A 140.2 10.01 12 B 145.5 8.96 14 a. Estimate the interval of the true mean with 95% confidence, using data from sensor A. b. How many more measurements are needed for sensor A to have the same interval with 99% confidence (assume the mean and standard deviation are the same)? c. How many measurements (out of 12) using sensor A to have force greater 142 (randomly sampled)? d. What is the probability to have the true mean force greater 142 using sensor A? e. Determine if there is a difference between the two sensors A and B with 95% of confidence.
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Transcribed Image Text:Two types of force sensors (A and B) to measure the applied force (Ib) at the tip of a cantilever
in a student Lab. The two data sets are shown below:
1.
Standard
N
Deviation
Average
A
140.2
10.01
12
B
145.5
8.96
14
a. Estimate the interval of the true mean with 95% confidence, using data from sensor A.
b. How many more measurements are needed for sensor A to have the same interval with 99%
confidence (assume the mean and standard deviation are the same)?
c. How many measurements (out of 12) using sensor A to have force greater 142 (randomly sampled)?
d. What is the probability to have the true mean force greater 142 using sensor A?
e. Determine if there is a difference between the two sensors A and B with 95% of confidence.
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