Does pollution increase mean death rate? A researcher sampled 31“unpolluted†areas greater than 50 km away from industrial plants,and 23 different “polluted†areas near industrial plants. Theaverage mortalities in the unpolluted areas were 3 deaths per dayper 100000 people (with a sample standard deviation of 0.4deaths/day/100000 people), and was 3.3 deaths per day per 100000people (with a sample standard deviation of 0.5 deaths/day/100000people) in the polluted area. At the alpha=0.01 level, answer thequestion does pollution increase average death rate? Showstatistical and critical values as appropriate. Assume thatvariances are equal.