Two types of force sensors (A and B) to measure the applied force (Ib) at the tip of a cantileverin a student Lab. The two data sets are shown below:1.StandardNDeviationAverageA140.210.0112B145.58.9614a. 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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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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A displacement sensor with digital display was used to measuring the displacement of a body impacted by a mass. Relevant sensor data is provided below. Twenty displacement measurements are made, which yield the following: Average measured value 20.00 [mm] Standard deviation of measured values 0.37 [mm] Resolution of sensor display 0.1 [mm] Sensor Accuracy 0.5 [%] of reading A.) If an additional measurement were to be made, calculate the range expected to contain the next measurement with 95% confidence. (i.e. the Precision Interval) B.) Determine the uncertainty for the measured displacement at 95% probability based on all available information.
According to an automobile association, the average cost of a gallon of regular unleaded fuel at gas stations in a certain month was $2.825. Assume that the standard deviation of such costs is $0.15. Suppose that a random sample of n = 100 gas stations is selected from the population and the month's cost per gallon of regular unleaded fuel is determined for each. Consider x, the sample mean cost per gallon. Complete part a through d. Click the icon to view the table of normal curve areas. a. Calculate P and o
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