- The number of telephone calls per hour received by a business is a random variable with distribution \(\operatorname { Po } ( \lambda )\).
Charlotte records the number of calls, \(C\), received in 4 hours.
A test of the null hypothesis \(\mathrm { H } _ { 0 } : \lambda = 1.5\) is carried out.
\(\mathrm { H } _ { 0 }\) is rejected if \(C > 10\)
- Write down the alternative hypothesis.
- Find the significance level of the test.
Given that \(\mathrm { P } ( C > 10 ) < 0.1\)
- find the largest possible value of \(\lambda\) that can be found by using the tables.