Loreto is a manager at the Da Vinci health centre. If the mean rate of patients arriving at the health centre exceeds 1.5 per minute then Loreto will employ extra staff. the number of patients arriving in any given time period follows a Poisson distribution. is assumed that 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. The health centre aims for at least 95% of patients to see a nurse in under 20 minutes.
Loreto is a manager at the Da Vinci health centre. If the mean rate of patients arriving at the health centre exceeds 1.5 per minute then Loreto will employ extra staff. the number of patients arriving in any given time period follows a Poisson distribution. is assumed that 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. The health centre aims for at least 95% of patients to see a nurse in under 20 minutes.
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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![Loreto is a manager at the Da Vinci health centre. If the mean rate of patients arriving at the
health centre exceeds 1.5 per minute then Loreto will employ extra staff. It is assumed that
the 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. The
health 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 and
decides to perform a hypothesis test at a 10% significance level to determine whether the
health 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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fd5dc2f6e-1037-47a6-a322-8b04a2876309%2F5524acdd-1c01-4a37-ac02-11e5e789f7a0%2F1zx6ymn_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Loreto is a manager at the Da Vinci health centre. If the mean rate of patients arriving at the
health centre exceeds 1.5 per minute then Loreto will employ extra staff. It is assumed that
the 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. The
health 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 and
decides to perform a hypothesis test at a 10% significance level to determine whether the
health 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.
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