Sam wants to perform a goodness-of-fit test for a Poisson distribution using the following sample data on the frequency of arrivals per minute. What value should Sam use to estimate the required parameter (?)? $$\begin{array} { | c | c | }
\hline \boldsymbol { x } & \boldsymbol { f } \
\hline 0 & 3 \
\hline 1 & 9 \
\hline 2 & 14 \
\hline 3 & 11 \
\hline 4 & 7 \
\hline 5 & 4 \
\hline 6 & 2 \
\hline \text { Total } & 50 \
\hline
\end{array}$$
A)1.9
B)2.1
C)2.6
D)3.1

Question

Sam wants to perform a goodness-of-fit test for a Poisson distribution using the following sample data on the frequency of arrivals per minute. What value should Sam use to estimate the required parameter (?)? $$\begin{array} { | c | c | } 
\hline \boldsymbol { x } & \boldsymbol { f } \
\hline 0 & 3 \
\hline 1 & 9 \
\hline 2 & 14 \
\hline 3 & 11 \
\hline 4 & 7 \
\hline 5 & 4 \
\hline 6 & 2 \
\hline \text { Total } & 50 \
\hline
\end{array}$$
A)1.9
B)2.1
C)2.6
D)3.1

Quizplus · Accepted Answer

The parameter for a Poisson distribution is the average rate of occurrence, which can be estimated by the sample mean. Calculate the mean by multiplying each value of x by its frequency, summing these products, and dividing by the total number of observations: (0*3 + 1*9 + 2*14 + 3*11 + 4*7 + 5*4 + 6*2) / 50 = 2.6.

Sam Wants to Perform a Goodness-Of-Fit Test for a Poisson