### Problem 2: Analysis of Temperature Transducer BatchesTemperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data:```2, 1, 2, 4, 0, 1, 3, 2, 0, 5, 3, 3, 1, 3, 2, 4, 7, 0, 2, 3, 0, 4, 2, 1, 3, 1, 1, 3, 4, 1, 2, 3, 2, 2, 8, 4, 5, 1, 3, 1, 5, 0, 2, 3, 2, 1, 0, 6, 4, 2, 1, 6, 0, 3, 3, 3, 6, 1, 2, 3```**Tasks:**a. **Determine frequencies and relative frequencies for the observed values of nonconforming transducers in a batch.**b. **What proportion of batches in the sample have at most five nonconforming transducers? What proportion have fewer than five? What proportion have at least five nonconforming units?**c. **Draw a histogram of the data using relative frequency on the vertical scale, and comment on its features.**### ExplanationFor each task, follow these steps:a. **Frequencies and Relative Frequencies:** - Tally the occurrences of each number of nonconforming transducers. - Calculate the relative frequency by dividing each frequency by the total number of batches (60).b. **Proportions:** - Calculate the proportion of batches with at most five, fewer than five, and at least five nonconforming units.c. **Histogram:** - Create a histogram with the number of nonconforming transducers on the horizontal axis and relative frequency on the vertical axis. - Observe patterns such as skewness, peaks, or uniform distribution.

(a) The table that includes the frequencies and the relative frequencies is given as: Values…

Answered: Temperature transducers of a certain…

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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Temperature transducers of a certain type are shipped in batches of 50. A sample of 60 batches was selected, and the number of transducers in each batch not conforming to design specifications was determined, resulting in the following data: 3 2 0 5 3 3 1 1 1 3 4 1 2 3 2 2 8 6 4 2 1 1 2 3 1 1 4 7 2 3 4 2 1 3 0 2 3 2 1 0 4 4 1. 1 6 0 3 3 3 7 1 2 3 n USE SALT (a) Determine frequencies and relative frequencies for the observed values of x = number of nonconforming transducers in a batch. (Round your relative freguencies to four decimal places.) Nonconforming Frequency Relative Frequency 1 2 3 4 5 6 7 8 (b) What proportion of batches in the sample have at most six nonconforming transducers? (Round your answer to four decimal places.) What proportion have fewer than six? (Round your answer to four decimal places.) What proportion have at least six nonconforming units? (Round your answer to four decimal places.) (c) Draw a histogram of the data using relative frequency on the vertical scale.…
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