Probability and Statistics (Answer up to 7th decimal point**)

And please give the answer step-by-step as I want to know how to calculate the answer, thanks.

Q7. (16%) A study was conducted to find out how certain disease may affect the blood pressures of patients in various age groups. Randomly selected samples of 80 patients with the disease were divided into three age groups, and their systolic blood pressures (measured in mmHg) were recorded. Below are the statistics.

Sample 1 (less than 25 years old) - n: a, : 3300, s: 10

Sample 2 (between 25 and 55) - n: b, : 3976, s: 8.5

Sample 3 (over 55) - n: 22, : 3256, s: 9

Assume the systolic pressures of patients in each of the three age groups were normally distributed and that the three groups had roughly the same variance in systolic blood pressures. Given that the sum of squares for errors is 6551.75. Perform ANOVA to determine if there are significant differences among the average systolic blood pressures of the individuals in these three groups at =0.05.