In an effort to predict customer arrivals better, the Avalon grocery store counted the number of customers who arrived at the store during randomly selected 10-minute intervals.

The following table shows these data. For example, there were 12 10-minute intervals in which no customers arrived, and 27 10-minute intervals in which one customer arrived.

Number of Customers Arriving in a 10-Minute Interval Frequency 0 12 1 27 2 29 3 22 4 12 5 5 6 3 Total 110

a. Using a = 0.05, perform a chi-square test to determine if the number of customers arriving over a 10-minute interval follows the Poisson probability distribution.

b. Determine the p-value using Excel and interpret its meaning.

AppendixLO1