1. It is claimed that the average amount of time boys and girls (age between 7 and 11) spend playing each day is the same. A child psychologist believes that boys, on average, spend more time playing sports than girls. He randomly selected 35 girls and 95 boys and observed their play time on sports. From his samples he found that girls have spend on average 2.3 hours, and boys have spent on average 3.7 hours playing sports. It is found that the time spent playing sports is normally distributed for girls with a standard deviation of 0.69 hours and for boys with a standard deviation of 2.49 hours. Is this day sufficient to support the psychologist claim? Do the test at 5% level of significance. Assume girls belong to population 1 and boys belong to population 2. Data given in this question are:

1.mu1 = 2.3, mu2 = 3.7, sigma1 = 0.69, sigma2 = 2.49

2.y-bar1 = 2.3, y-bar2 = 3.7, sigma1 = 0.69, sigma2 = 2.49

3.y-bar1 = 2.3, y-bar2 = 3.7, s1 = 0.69, s2 = 2.49

4.mu1 = 2.3, mu2 = 3.7, s1 = 0.69, s2 = 2.49