JESTION 2 a) Measurements of the length of a random sample of 200 rods made by a certain machine during one week showed a mean of 0.824m and a standard deviation of 0.042m. Find a 95% confidence interval for the mean length of all the rods.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
Question
QUESTION 2
a) Measurements of the length of a random sample of 200 rods made by a certain machine
during one week showed a mean of 0.824m and a standard deviation of 0.042m. Find a
95% confidence interval for the mean length of all the rods.
b) Suppose that the diameters of 100 balls in a sports hall represent a random sample of the
diameters of all 1546 in the sports hall. Using the table given, determine unbiased and
efficient estimates of:
i. the true mean.
ii. the true variance.
Diameters of 100 Balls in the Sports Hall
Diameter
Number of
(inches)
Balls
60-62
63–65
18
66-68
42
69–71
27
72-74
8
Total = 100
Transcribed Image Text:QUESTION 2 a) Measurements of the length of a random sample of 200 rods made by a certain machine during one week showed a mean of 0.824m and a standard deviation of 0.042m. Find a 95% confidence interval for the mean length of all the rods. b) Suppose that the diameters of 100 balls in a sports hall represent a random sample of the diameters of all 1546 in the sports hall. Using the table given, determine unbiased and efficient estimates of: i. the true mean. ii. the true variance. Diameters of 100 Balls in the Sports Hall Diameter Number of (inches) Balls 60-62 63–65 18 66-68 42 69–71 27 72-74 8 Total = 100
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman