i have attached the questions can u please explain what formulas you use thank you ( also we are not allowed to use excel)

A complete census taken 2 years ago indicated that residents living in the K-W region smoked an average of 5.4 cigarettes daily with a standardeviation of 2.5 cigarettes. To determine whether smoking rates had changed during the pandemic, a sample of 200 current residents were surveyed about their smoking behavior over the previous month and it was found that they had smoked an average of 5.2 cigarettes per day, with a standard deviation of 2.7 cigarettes. a] Use a two-tailed test and a = .01 to determine whether smoking rates have changed over the last 2 years [8 marks]. b] Report and interpret the effect size using cohen's d [3 marks]. c] What is the probability of committing a type 11 error in this example [5 marks]