Question

11. You conduct a hypothesis to compare the impact of two different training regimens (regimen 1 and regimen

2) on swimmers’ speeds. To this end, you consider 10 swimmers from each regimen and find the mean improvement in times.

a. If the symbols below are defined as usual, which is the appropriate null hypothesis stated symbolically?

i.H0:x1=x2

ii.H0:μ1=μ2

iii.H0:μ1≠μ2

iv.H0:p1^continuous ≠ p2^continuous

v.H0: p1^continuous = p2^continuous

b. Which is the appropriate alternative hypothesis given in context?

i.The mean time improvement is the same for both regimens.

ii.The mean time improvement is not the same for both regimens.

iii.The proportion of swimmers who improved is the same for both regimens.

iv.The proportion of swimmers who improved is not the same for both regimens.

Answer 1

a)

ii.H0:μ1=μ2

b)

ii.The mean time improvement is not the same for both regimens.