(a) A research has been conducted an experiment to compare the deflection (µm) between two types of material for cutting tool in milling machining process. About 30 samples of cutting tool for material A and 30 of cutting tool for material B has been used for during the test. Table 2(a) shows several descriptive statistics represent the data of tensile strength. 2 Table 2 (a) Descriptive statistics for deflection (µm) Material Number of Minimum Q1 value median Q3 Маximum value specimen 30 A 0.462 3.453 6.415 8.548 13.599 30 0.2 2.037 4.157 7.716 15.491 (i) Plot a box plot based on recorded data given in Table 2(a) (11) Based on the box plot, which material of cutting tool is have better performance?State your reason (iii) Suppose that material A produce deflection of 4.4 µm. The data is wrongly recorded as 44 um. What you can interpret about the box plot? (iv) Calculate the value of IQR for both materials

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(a) A research has been conducted an experiment to compare the deflection (um) between
two types of material for cutting tool in milling machining process. About 30 samples
of cutting tool for material A and 30 of cutting tool for material B has been used for
during the test. Table 2(a) shows several descriptive statistics represent the data of
tensile strength.
2
Table 2 (a) Descriptive statistics for deflection (um)
Material
Number
Minimum Q1
median
Q3
Маximum
of
value
value
specimen
A
30
0.462
3.453
6.415
8.548
13.599
В
30
0.2
2.037
4.157
7.716
15.491
(i) Plot a box plot based on recorded data given in Table 2(a)
(ii) Based on the box plot, which material of cutting tool is have better
performance?State your reason
(ii1) Suppose that material A produce deflection of 4.4 µum. The data is wrongly
recorded as 44 um. What you can interpret about the box plot?
(iv) Calculate the value of IQR for both materials
Transcribed Image Text:(a) A research has been conducted an experiment to compare the deflection (um) between two types of material for cutting tool in milling machining process. About 30 samples of cutting tool for material A and 30 of cutting tool for material B has been used for during the test. Table 2(a) shows several descriptive statistics represent the data of tensile strength. 2 Table 2 (a) Descriptive statistics for deflection (um) Material Number Minimum Q1 median Q3 Маximum of value value specimen A 30 0.462 3.453 6.415 8.548 13.599 В 30 0.2 2.037 4.157 7.716 15.491 (i) Plot a box plot based on recorded data given in Table 2(a) (ii) Based on the box plot, which material of cutting tool is have better performance?State your reason (ii1) Suppose that material A produce deflection of 4.4 µum. The data is wrongly recorded as 44 um. What you can interpret about the box plot? (iv) Calculate the value of IQR for both materials
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