Question

name (last name, first name)_____________________________ period ____________
pyramid of doom
question: does communication improve cub stacking time?
null hypothesis:
alternative hypothesis:

attempt(s)	group #1 time (seconds)	group #2 time (seconds)	group #3 time (seconds)	group #4 time (seconds)
#2 collaborative pyramid build	106 sec	61 sec		20
#3 deconstruct pyramid	23 sec	20 sec		40
****** add 10 seconds for each time you touch a cup

attempt(s)	group #5 time (seconds)	group #6 time (seconds)	group #7 time (seconds)	group #8 time (seconds)
#2 collaborative pyramid build		41	50
#3 deconstruct pyramid		30	15
****** add 10 seconds for each time you touch a cup

class mean for all three categories:

Explanation:

Step1: Define Null Hypothesis

The null hypothesis states no effect of communication.
Null Hypothesis ($H_0$): Communication has no effect on cup stacking time; the mean time for silent and collaborative builds is equal, or $\mu_{silent} = \mu_{collaborative}$.

Step2: Define Alternative Hypothesis

The alternative hypothesis states communication improves time (faster = lower time).
Alternative Hypothesis ($H_a$): Communication reduces cup stacking time; the mean time for collaborative builds is less than silent builds, or $\mu_{collaborative} < \mu_{silent}$.

Step3: Compile valid silent build times

Valid times: 72, 241, 55, 106, 48
Sum = $72 + 241 + 55 + 106 + 48 = 522$
Count ($n_1$) = 5
Mean silent time: $\frac{522}{5} = 104.4$ seconds

Step4: Compile valid collaborative build times

Valid times: 106, 61, 20, 42, 41, 50
Sum = $106 + 61 + 20 + 42 + 41 + 50 = 320$
Count ($n_2$) = 6
Mean collaborative time: $\frac{320}{6} \approx 53.33$ seconds

Step5: Compile valid deconstruct times

Valid times: 23, 20, 40, 30, 15
Sum = $23 + 20 + 40 + 30 + 15 = 128$
Count ($n_3$) = 5
Mean deconstruct time: $\frac{128}{5} = 25.6$ seconds

Answer:

Null Hypothesis: Communication has no effect on cup stacking time ($\mu_{silent} = \mu_{collaborative}$)
Alternative Hypothesis: Communication reduces cup stacking time ($\mu_{collaborative} < \mu_{silent}$)
Class Means:

• Silent Pyramid Build: 104.4 seconds
• Collaborative Pyramid Build: ~53.33 seconds
• Deconstruct Pyramid: 25.6 seconds