Question

Assembly Time: You manufacture boxed swing sets and want to convince customers that it takes less than 2 hours to assemble one. You take a sample of adults, have them assemble the swing sets, and time them. About 78% of the adults get done in just under 2 hours but the other 22% take much more than 2 hours. You are considering the two claims given below. For each claim, choose the appropriate alternate hypothesis for the test.

(a) You claim that most adults take less than 2 hours to assemble the swing set.

H₁: μ < 2

H₁: x < 2    

H₁: p > 0.5

H₁: p < 2

(b) You claim that the average assembly time is less than 2 hours.

H₁: p > 0.5

H₁: p < 2    

H₁: x < 2

H₁: μ < 2

Answer 1

(A)

The claim that adults take less than 2 hours to assemble the swing set.

i.e. p > 0.5

Therefore, The correct alternative hypothesis is

H1: p > 0.5

Hence option C is the answer

(B) H1: the average assembly time is less than 2 hours.

i.e. H₁: μ < 2

Hence option D is the answer.