In the first hour of customers using the app they served 180 customers. STACO decided to treat this hour as 60 non-overlapping intervals of one minute each. They then assumed they could model the number of customers served cach minute by independent and identically distributed Poisson Random Variables. They called the number of customers served in the ith minute Xi, so X₁ + X₂ + ... + X60 180, X₂ Poisson(X), and X; and X; are independent 2 if i j. = STACO used this to compute an estimated 95% confidence interval and then told Coffee Kart that they could claim to serve an average of three customers per minute. i Recall that the maximum likelihood estimator of A is A = X. Using the same assumptions as STACO and assuming that n is large enough to
In the first hour of customers using the app they served 180 customers. STACO decided to treat this hour as 60 non-overlapping intervals of one minute each. They then assumed they could model the number of customers served cach minute by independent and identically distributed Poisson Random Variables. They called the number of customers served in the ith minute Xi, so X₁ + X₂ + ... + X60 180, X₂ Poisson(X), and X; and X; are independent 2 if i j. = STACO used this to compute an estimated 95% confidence interval and then told Coffee Kart that they could claim to serve an average of three customers per minute. i Recall that the maximum likelihood estimator of A is A = X. Using the same assumptions as STACO and assuming that n is large enough to
Holt Mcdougal Larson Pre-algebra: Student Edition 2012
1st Edition
ISBN:9780547587776
Author:HOLT MCDOUGAL
Publisher:HOLT MCDOUGAL
Chapter11: Data Analysis And Probability
Section: Chapter Questions
Problem 8CR
Related questions
Question
Transcribed Image Text:In the first hour of customers using the app they served 180 customers. STACO
decided to treat this hour as 60 non-overlapping intervals of one minute each.
They then assumed they could model the number of customers served each
minute by independent and identically distributed Poisson Random Variables.
They called the number of customers served in the ith minute X₁, so
X₁ + X₂ + ... + X60
180, X₁~ Poisson(X), and X; and X, are independent
if i j.
-
STACO used this to compute an estimated 95% confidence interval and then
told Coffee Kart that they could claim to serve an average of three customers
per minute.
=
i Recall that the maximum likelihood estimator of A is A X. Using the
same assumptions as STACO and assuming that n is large enough to
apply the Central Limit Theorem, calculate an estimated 95% confidence
interval for X.
ii Do you agree with the assumptions made by STACO. Justify your answer.
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 3 steps with 1 images
Recommended textbooks for you
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Holt Mcdougal Larson Pre-algebra: Student Edition…
Algebra
ISBN:
9780547587776
Author:
HOLT MCDOUGAL
Publisher:
HOLT MCDOUGAL
Algebra & Trigonometry with Analytic Geometry
Algebra
ISBN:
9781133382119
Author:
Swokowski
Publisher:
Cengage
College Algebra (MindTap Course List)
Algebra
ISBN:
9781305652231
Author:
R. David Gustafson, Jeff Hughes
Publisher:
Cengage Learning
Big Ideas Math A Bridge To Success Algebra 1: Stu…
Algebra
ISBN:
9781680331141
Author:
HOUGHTON MIFFLIN HARCOURT
Publisher:
Houghton Mifflin Harcourt
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
College Algebra
Algebra
ISBN:
9781305115545
Author:
James Stewart, Lothar Redlin, Saleem Watson
Publisher:
Cengage Learning