In the first hour of customers using the app they served 180 customers. STACOdecided to treat this hour as 60 non-overlapping intervals of one minute each.They then assumed they could model the number of customers served eachminute by independent and identically distributed Poisson Random Variables.They called the number of customers served in the ith minute X₁, soX₁ + X₂ + ... + X60180, X₁~ Poisson(X), and X; and X, are independentif i j.-STACO used this to compute an estimated 95% confidence interval and thentold Coffee Kart that they could claim to serve an average of three customersper minute.=i Recall that the maximum likelihood estimator of A is A X. Using thesame assumptions as STACO and assuming that n is large enough toapply the Central Limit Theorem, calculate an estimated 95% confidenceinterval for X.ii Do you agree with the assumptions made by STACO. Justify your answer.

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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 10CYU

See similar textbooks

Similar questions

Find the probability of each event. Getting 2 red eggs in a single scoop from a bucket containing 5 red eggs and 7 yellow eggs
If a binomial experiment has probability p success, then the probability of failure is ____________________. The probability of getting exactly r successes in n trials of this experiment is C(_________, _________)p (1p)
Find the probability of each event. Drawing 5 orange cubes from a bowl containing 5 orange cubes and 1 beige cubes

Recommended textbooks for you

Glencoe Algebra 1, Student Edition, 9780079039897…

Algebra

ISBN:

9780079039897

Author:

Carter

Publisher:

McGraw Hill