The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of
The superintendent of a large school district, having once had a course in probability and statistics, believes that the number of
A First Course in Probability (10th Edition)
10th Edition
ISBN:9780134753119
Author:Sheldon Ross
Publisher:Sheldon Ross
Chapter1: Combinatorial Analysis
Section: Chapter Questions
Problem 1.1P: a. How many different 7-place license plates are possible if the first 2 places are for letters and...
Related questions
Question
![The superintendent of a large school district,
having once had a course in probability and statistics, believes that the number of
teachers absent on any given day has a Poisson distribution with parameter A. Using
the accompanying data on absences for 50 days to derive a large-sample 95% confidence
interval for A.
Number of absences | 0 1 2 3 4 5 6 7 8 9 10
Frequency
1 4 8 10 8 7 5 3 2 1 1
[Hint: The Poisson population has mean A and variance A, so basically speaking, we are
still trying to estimate the population mean using sample mean. And, by the central
limit theorem, approximately
X ~ N(A,
i.e., approximately
N(0, 1).
Then, follow the derivation in section 2 to find the margin of error, MOE, such that
Pr(X- MOE < dsX +MOE) = 0.95. This MOE will contain A, which is unknown,
but we have an estimate for it.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fe9ad9a17-86a2-4d23-8aeb-c537a78d9db8%2F1eb014f4-59dd-4fc8-94b5-3ab173b8a378%2Fd3gijrx_processed.jpeg&w=3840&q=75)
Transcribed Image Text:The superintendent of a large school district,
having once had a course in probability and statistics, believes that the number of
teachers absent on any given day has a Poisson distribution with parameter A. Using
the accompanying data on absences for 50 days to derive a large-sample 95% confidence
interval for A.
Number of absences | 0 1 2 3 4 5 6 7 8 9 10
Frequency
1 4 8 10 8 7 5 3 2 1 1
[Hint: The Poisson population has mean A and variance A, so basically speaking, we are
still trying to estimate the population mean using sample mean. And, by the central
limit theorem, approximately
X ~ N(A,
i.e., approximately
N(0, 1).
Then, follow the derivation in section 2 to find the margin of error, MOE, such that
Pr(X- MOE < dsX +MOE) = 0.95. This MOE will contain A, which is unknown,
but we have an estimate for it.]
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 2 steps
Recommended textbooks for you
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON
A First Course in Probability (10th Edition)
Probability
ISBN:
9780134753119
Author:
Sheldon Ross
Publisher:
PEARSON