Please help me solving these problems in statistics.
Appreciate your response.
1. Jeevan is the line supervisor for a manufacturing firm that produces radial tyres of radius 12, 13, and 14. He tests each day’s production by picking a set of tyres from radius 12 size for defects. Jeevan says that he selects “at random”. Is this in fact a random sample of the day’s production? If you differ in your view, then what is the type of sampling done?
2. Develop-Well a software company estimated last year that 35% of potential software buyers were planning to wait to purchase their new operating system DWOS until an upgrade had been released. After an advertising campaign to re-assure the public, the company surveyed 3000 people and found 950 were still skeptical. At 5% significance level
can the company conclude that the proportion of skeptical people has decreased?
3. A lottery commission claims that for a new lottery game there
prize, 5% chance of getting $100 and 85% chance of getting winner form the last lottery went and bought 1000 tickets for onedollar prizes, 48 hundred-dollar prizes and 865 worthless Significance (LOS) is the claim of commission reasonable?