Let's consider an insurance company that offers life insurance policies. The company has a portfolio of$2,000$ policies, and they want to analyse the lapse behaviour of policyholders. They gather data on the number of policies that lapsed each year for the past five years. The dataset is as follows:

Year $1$: $60$ policies lapsed

Year $2$: $85$ policies lapsed

Year $3$: $92$ policies lapsed

Year $4$: $78$ policies lapsed

Year $5$: $60$ policies lapsed

Use $T-$Distribution $To$ Analyze the problem $.$