Loreto is a manager at the Da Vinci health centre. If the mean rate of patients arriving at thehealth centre exceeds 1.5 per minute then Loreto will employ extra staff. It is assumed thatthe number of patients arriving in any given time period follows a Poisson distribution.Loreto performs a hypothesis test to determine whether she should employ extra staff.She finds that 320 patients arrived during a randomly selected 3-hour clinic.(a) (i)Write down null and alternative hypotheses for Loreto's test.(ii)Using the data from Loreto's sample, perform the hypothesis test at a 5%significance level to determine if Loreto should employ extra staff.Loreto is also concerned about the average waiting time for patients to see a nurse. Thehealth centre aims for at least 95% of patients to see a nurse in under 20 minutes.Loreto assumes that the waiting times for patients are independent of each other anddecides to perform a hypothesis test at a 10% significance level to determine whether thehealth centre is meeting its target.Loreto surveys 150 patients and finds that 11 of them waited more than 20 minutes.(b) (i)Write down null and alternative hypotheses for this test.(ii)Perform the test, clearly stating the conclusion in context.

a) let the number of patients arriving in any given time period be denoted by the random variable X…

Answered: Loreto is a manager at the Da Vinci…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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