Question

5. Listed below are the body mass indices (BMI) of a sample of freshmen. The BMI of each student was measured in September and April of the freshman year. April BMI 20.15 19.24 20.77 23.85 21.32 September BMI 20.68 19.48 19.59 24.57 20.96 At a 0.05 significance level, does BMI appear to change during freshman year?

Answer 1

3)

null Hypothesis: alternate Hypothesis: ud 2.776 for 0.05 level with two tailed test and n-1= 4 df, critical value of tu Decision rule: reject Ho if absolute value of test statistic 11>2.776 diff:(d)=x1-x2 -0.53 -0.24 118 S. No April September 20.15 20.68 19.24 19.48 20.77 19.59 23.85 24.57 21.32 20.96 total meandbard degree of freedom -n-1 Std deviaiton So= (zd*-(d)*/n)/(n-1) = std error=Se=Sphins test statistic = (d-ud)/Se = 0.28 0.06 1.39 0.52 0.13 2d2=2.3789 -0.72 0.36 zd=0.05 0.01 4.000 0.771 0.345 0.029

since test statistic does not falls in rejection region we fail to reject null hypothesis

we do not have have sufficient evidence to conclude that BMI differs during freshman year,