Answer Happy

A research team wishes to determine whether the COVID-10 pandemic had an effect on the obesity of children. • In the years preceding the pandemic, the average weight of a ten-year old boy amounted to 10 kgs, with a variance of 4. For a random sample of 25 children, collected in June 2021, the average weight amounted to 11. At a 0.01 significance level, verify whether the average weight remained unchanged, against the alternative that it changed. The value of the appropriate test statistic amounts to the p-value of this outcome is so at the adopted significance level we the null. We assume that the weight of a child follows a normal distribution. • In a random a sample of 1444 ten-year-olds collected in 2018, the number of children whose BMI signaled obesity amounted to 140, while in a sample of the same size collected in 2021, the number of obese children amounted to 170. At a 0.01 significance level, verify whether the fraction of obese children remained unchanged, against the alternative that increased. The value of the appropriate test statistic amounts to the p-value of this outcome is so at the adopted significance level we the null. Please provide numerical values approximated to two decimal digits.