A company that produces office chairs uses two machines, machine A and machine B, to test the weights of its chairs in order to ensure each chair is constructed properly. The manager of the company randomly selects 8 chairs to be tested by machine A and 9 chairs to be tested by machine B. The table summarizes his data, including the standard error estimate (SE) for the difference in the two means and the approximate number of degrees of freedom (df). Population Population Description Sample size Sample mean Sample standard deviation A Chairs tested by machine A ??=8 x¯A=44.3412 ??=2.5732 B Chairs tested by machine B ??=9 x¯B=48.9021 ??=4.0444 SE for difference1.6264 df=13.6987 The manager wishes to construct a 95% t‑confidence interval comparing the sample means of the weights of chairs processed by machine A and machine B. The manager is not willing to assume that the population variances are equal. Determine the margin of error (?m) for the manager's 95% t‑confidence interval, rounded to four decimal places. You can use software or a ?t‑table to determine the critical value.
A company that produces office chairs uses two machines, machine A and machine B, to test the weights of its chairs in order to ensure each chair is constructed properly. The manager of the company randomly selects 8 chairs to be tested by machine A and 9 chairs to be tested by machine B. The table summarizes his data, including the standard error estimate (SE) for the difference in the two means and the approximate number of degrees of freedom (df). Population Population Description Sample size Sample mean Sample standard deviation A Chairs tested by machine A ??=8 x¯A=44.3412 ??=2.5732 B Chairs tested by machine B ??=9 x¯B=48.9021 ??=4.0444 SE for difference1.6264 df=13.6987 The manager wishes to construct a 95% t‑confidence interval comparing the sample means of the weights of chairs processed by machine A and machine B. The manager is not willing to assume that the population variances are equal. Determine the margin of error (?m) for the manager's 95% t‑confidence interval, rounded to four decimal places. You can use software or a ?t‑table to determine the critical value.
Chapter6: Systems Of Equations And Inequalities
Section: Chapter Questions
Problem 17PS: Cholesterol Cholesterol in human blood is necessary, but too much can lead to health problems. There...
Related questions
Topic Video
Question
A company that produces office chairs uses two machines, machine A and machine B, to test the weights of its chairs in order to ensure each chair is constructed properly. The manager of the company randomly selects 8 chairs to be tested by machine A and 9 chairs to be tested by machine B. The table summarizes his data, including the standard error estimate (SE) for the difference in the two means and the approximate number of degrees of freedom (df).
| Population | Population Description |
Sample size |
Sample mean |
Sample standard deviation |
|---|---|---|---|---|
| A | Chairs tested by machine A | ??=8 | x¯A=44.3412 | ??=2.5732 |
| B | Chairs tested by machine B | ??=9 | x¯B=48.9021 | ??=4.0444 |
SE for difference1.6264
df=13.6987
The manager wishes to construct a 95% t‑confidence interval comparing the sample means of the weights of chairs processed by machine A and machine B. The manager is not willing to assume that the population variances are equal.
Determine the margin of error (?m) for the manager's 95% t‑confidence interval, rounded to four decimal places. You can use software or a ?t‑table to determine the critical value.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 2 images
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, statistics and related others by exploring similar questions and additional content below.Recommended textbooks for you
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
Functions and Change: A Modeling Approach to Coll…
Algebra
ISBN:
9781337111348
Author:
Bruce Crauder, Benny Evans, Alan Noell
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL