Question

baby weights following are weights in pounds for random samples of 15 newborn baby boys and baby girls born in Denver in 2011. boxplot indicates that the samples come from populations that are approximately normal. let u1 denote the mean weught of boys and u2 denoted the mean weight of girls. can you conclude that the mean weight of boys is less than the mean weight of girls? use alpha=0.01 level and p value method with the tble boys: 5.9,6.4,7.3,6.6,7.6,7.5,6.9,7.4,6.4,6.9,6.3,6.4,6.4,7.4,7.7 Girls 7.7,7.0.8.2.7.4.6.0.6.7.8.2.7.5.5.7.6.6.6.4.8.5.7.2.6.9.6..2 what is the null and alenterate hyphothesis

Answer 1

For boys

= 6.873

s1 = 0.573

For girls

= 7.08

s2 = 0.842

The test statistic is

     

     

At alpha = 0.01, the critical value is -t_0.01,24 = -2.492

Since the test statistic value is not less than the critical value (-2.492 < -0.787), so we should not reject the null hypothesis.

at 0.01 significance level, there is not sufficient evidence to conclude that the mean weight of boys is less than the mean weight of girls.