ETM 319 Activity week 8

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ETM 319*001 (Fall 2017) Assignment 3 Chapter 5. Fundamentals of Statistics Chapter 6. Control Charts for Variables Due date: 10/15/2017 1. (p54-9) The relative strengths of 150 silver solder welds are tested, and the results are given in the following table. Tally these figures and arrange them in a frequency distribution. Determine the cell interval and the approximate number of cells. Make a table showing cell midpoints, cell boundaries, and observed frequencies. Plot a frequency histogram. 2. (p54-21) Destructive tests on the life of an electronic component were conducted on 2 different occasions. On the first occasion, 3 tests had a mean of 3320 h; on the second occasion, 2 tests had a mean of 3180 h. What is the weighted average? 3. (p55-23) Determine the median of the following numbers. a. 22, 11, 15, 8, 18 b. 35, 28, 33, 38, 43, 36 4. (p55-27) Determine the range for each set of numbers. a. 16, 25, 18, 17, 16, 21, 14 b. 45, 39, 42, 42, 43 c. The data in Exercise 6 d. The data in Exercise 7 5. (p92-3) The following table gives the average and range in kilograms for tensile tests on an improved plastic cord. The subgroup size is 4. Determine the trial central line and control limits. If any points are out of control, assume assignable causes and calculate revised limits and central line. 6. (p92-6) Control charts for X and s are to be established on the Brinell hardness of hardened tool steel in kilograms per square millimeter. Data for subgroup sizes of 8 are shown below. Determine the trial central line and control limits for the X and s charts. Assume that the out-of-control points have assignable causes. Calculate the revised limits and central line.
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Professor’s name
Student’s name
Course title
Date

ETM 319*001 (Fall 2017)
Assignment3

Chapter 5 . Fundamentals of Statistics
Chapter 6 . Control Charts for Variables

Due date: 10/15/2017

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Question One

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Step 1:
Calculate a tally of the results of the relative strength of the 150 silver solder welds.
Cell boundaries

Tabulation

0.1 – 0.5

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0.6 – 1.0

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1.1 – 1.5

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1.6 – 2.0

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2.1 -2.5

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2.6 – 3.0

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3.1 – 3.5

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3.6 – 4.0

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Calculate the histogram results of the relative strength of the 150 silver solder welds.
Cell boundaries

Cell Midpoints

Observed Frequency

0.1 – 0.5

0.3

3

0.6 – 1.0

0.8

15

1.1 – 1.5

1.3

34

1.6 – 2.0

1.8

29

2.1 -2.5

2.3

30

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2.6 – 3.0

2.8

22

3.1 – 3.5

3.3

15

3.6 – 4.0

3.8

2

Total

150

Step 2:
Diagrammatic representation of the results of the relative strength of the 150 silver solders
welds.

Observed Frequency
40
35
30
25
20
15
10
5
0
0.3

0.8

1.3

1.8

2.3

2.8

Step 3:
The Diagrammatic representation of the cumulative frequency histogram of inspection per day
Cell mid point

Frequency

Relative

Cumulative

Relative

frequency

Frequency

cumulative

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Frequency
148

2

0.009708738

2

0.009708738

139

3

0.014563107

5

0.024271845

130

8

0.038834951

13

0.06310679...


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