Solution Found!
Answer: Compute the sample median, 25% trimmed mean, 10%
Chapter 1, Problem 40E(choose chapter or problem)
Problem 40E
Compute the sample median, 25% trimmed mean, 10% trimmed mean, and sample mean for the lifetime data given in Exercise 27, and compare these measures.
Reference exercise-27
The paper “Study on the Life Distribution of Microdrills” (J. of Engr. Manufacture, 2002: 301–305) reported the following observations, listed in increasing order, on drill lifetime (number of holes that a drill machines before it breaks) when holes were drilled in a certain brass alloy.
a. Why can a frequency distribution not be based on the class intervals 0–50, 50–100, 100–150, and so on?
b. Construct a frequency distribution and histogram of the data using class boundaries 0, 50, 100, . . . , and then comment on interesting characteristics.
c. Construct a frequency distribution and histogram of the natural logarithms of the lifetime observations, and comment on interesting characteristics.
d. What proportion of the lifetime observations in this sample are less than 100? What proportion of the observations are at least 200?
Questions & Answers
QUESTION:
Problem 40E
Compute the sample median, 25% trimmed mean, 10% trimmed mean, and sample mean for the lifetime data given in Exercise 27, and compare these measures.
Reference exercise-27
The paper “Study on the Life Distribution of Microdrills” (J. of Engr. Manufacture, 2002: 301–305) reported the following observations, listed in increasing order, on drill lifetime (number of holes that a drill machines before it breaks) when holes were drilled in a certain brass alloy.
a. Why can a frequency distribution not be based on the class intervals 0–50, 50–100, 100–150, and so on?
b. Construct a frequency distribution and histogram of the data using class boundaries 0, 50, 100, . . . , and then comment on interesting characteristics.
c. Construct a frequency distribution and histogram of the natural logarithms of the lifetime observations, and comment on interesting characteristics.
d. What proportion of the lifetime observations in this sample are less than 100? What proportion of the observations are at least 200?
ANSWER:
Problem 40E
Answer:
Step1:
We have The paper “Study on the Life Distribution of Micro Drills” (J. of Engr. Manufacture, 2002: 301–305) reported the following observations, listed in increasing order, on drill lifetime (number of holes that a drill machines before it breaks) when holes were drilled in a certain brass alloy.
x | ||||
11 |
59 |
81 |
105 |
161 |
14 |
61 |
84 |
105 |
168 |
20 |
65 |
85 |
112 |
184 |
23 |
67 |
89 |
118 |
206 |
31 |
68 |
91 |
123 |
248 |
36 |
||||