Worked Example 2

Raju is the star player of his school’s basketball team. He claims that on average he would score \(21\) points per game. Raju’s career score is normally distributed with a standard deviation of \(7\) points. A sample of \(15\) sets of Raju’s games are collated and it is found that the mean sample score is \(18.3\) points.

At \(10\%\) level of significance, test whether Raju has overstated his claim.