Determine the critical value of χ2 with 1 degree of freedom for α=0.005

The often-repeated conventional wisdom is that male police officers die at a significantly younger age than the rest of the male population. The origin of this statement often is attributed to a study by the U.S. Department of Justice, but the agency says it never conducted such a study. The issue is a key to police budget and benefit debates across the country, therefore you decide to examine this issue. You collect data on a sample of 18 male current and former police officers who died in the last year and find that the mean age at the time of death is 73 with a SS = 1224. You know that for the mean of death for all males who died in the last year is 77. Using an alpha of .05, test the hypothesis that male police officers die, on average, at a age younger age than the population of males. Step 1: 3a. Identify the null hypothesis. Type a - 1 here a. Ho: u > 73 b. Ho: µ77 h. Ho: u 77 j. Ho: u73 b. Hi: u73 d. Hi: µ 77 MacBook Air

Suppose that a particle moves along a straight line with velocity cos(t/2) , sin(t/3), te [0, 7], t E (T, 37], v(t) = %3D in meters/second. What is the total distance traveled from t = 0 up to t = 3T seconds ? (You only need to input %3| Type your answer..

Use the trapezoidal rule with n = 4 to approximate cos(x) de Keep at least 2 decimal places accuracy in your final answer