Banner Mattress and Furniture Company wishes to study the number of credit applications received per day for the last 300 days. The sample information is reported below.

Number of Credit Frequency

Applications (Number of Days)

0 ...............50

1 ...............77

2 ...............81

3 ...............48

4 ...............31

5 or more .............. 13

To interpret, there were 50 days on which no credit applications were received, 77 days on which only one application was received, and so on. Would it be reasonable to conclude that the population distribution is Poisson with a mean of 2.0? Use the .05 significance level.