The number of cars arriving at a junction in a particular town in any given minute between9:00am and 10:00am is historically known to follow a Poisson distribution with a mean of5.4 cars per minute. A new road is built near the town. It is claimed that the new road has decreased the number of cars arriving at the junction. To test the claim, the number of cars, X, arriving at the junction between 9:00am and 10:00am on a particular day will be recorded. The test will have the following hypotheses: H0 : the mean number of cars arriving at the junction has not changed,H1 : the mean number of cars arriving at the junction has decreased. The alternative hypothesis will be accepted if X≤300.

The number of cars arriving at a junction in a particular town in any given minute between$9:00\text{am}$ and $10:00\text{am}$ is historically known to follow a Poisson distribution with a mean of$5.4$ cars per minute.

A new road is built near the town. It is claimed that the new road has decreased the number of cars arriving at the junction.

To test the claim, the number of cars, $X$, arriving at the junction between $9:00\text{am}$ and $10:00\text{am}$ on a particular day will be recorded. The test will have the following hypotheses:

${\text{H}}_0 :$ the mean number of cars arriving at the junction has not changed,
${\text{H}}_1 :$ the mean number of cars arriving at the junction has decreased.

The alternative hypothesis will be accepted if $X\le 300$.