Answered

Welcome to Westonci.ca, the place where your questions are answered by a community of knowledgeable contributors. Experience the convenience of finding accurate answers to your questions from knowledgeable experts on our platform. Connect with a community of professionals ready to provide precise solutions to your questions quickly and accurately.

The number of calls arriving at a switchboard from noon to 1 PM during the business days Monday through Friday is monitored for six weeks (i.e., 30 days). Let X be defined as the number of calls during that one-hour period. The relative frequency of calls was recorded and reported as
Value 5 68 9 10
Relative Frequency 0.067 0.067 0.100 0.133 0.200
Value 11 12 13 14 15
Relative
Frequency 0.133 0.133 0.067 0.033 0.067
(a) Does the assumption of a Poisson distribution seem appropriate as a probability model for this data? Use a = 0.05.
(b) Calculate the P-value for this test.

Sagot :

batolisis

Answer:

A) The assumption of a Poisson distribution is appropriate and we will fail to reject the null hypothesis since the critical value is lower than the level of significance

b) p-value = 0.834

Step-by-step explanation:

a) let the number of calls per hour = X

number of sample points = 10

the expected number of calls per hour : E (x)

= ∑ xi * yi  = 10.221

given boundaries are : n - 1 , i = 0

Therefore the mean ( β ) number of calls per hour = 10.221

Note : The interesting event is the number of calls that arrives per hour

applying hypothesis testing :

H0 :   α ≤ β  ( null hypothesis )

Ha :   α ≥ β  ( alternate hypothesis )

we will fail to reject the null hypothesis since the critical value is lower than the level of significance

attached below is the remaining part of the solution

b) P-value = 0.834

View image batolisis
Thank you for choosing our service. We're dedicated to providing the best answers for all your questions. Visit us again. Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.