This problem uses the χ2-distribution for a good- ness of fit test. The following is the distribution of the number of calls received at the switchboard of a government building during 400 five-minute...

This problem uses the χ2-distribution for a good- ness of fit test. The following is the distribution of the number of calls received at the switchboard of a government building during 400 five-minute intervales

# of calls Frequency 0 95

1. 
   

   1  116

   
   


2. 
   

   2  112

   
   

3 41 4 or more 30

Use α = 0.05 (level of significance) to test whether the number of calls received by the switchboard in a five-minute interval is a random variable having the Poisson distribution with λ = 1.5; that is, the probabilities for 0, 1, 2, 3, or 4 or more calls are 0.22, 0.33, 0.25, 0.13, and 0.07