In physical sciencelaboratory number four the students tested the hypothesis that the momentum before a collision is equal to the momentum after the collision. This hypothesis is called the conservation of momentum. Put another way, the pairwise mean difference should be zero. In a hypothesis test, this particular hypothesis holds true if we fail to reject the null hypothesis. In the physical science class I taught the students to use the percentage error to determine if the hypothesis holds true. In reality, the way we test a hypothesis is using a hypothesis test based on the student's t-distribution. Data

Part II: Hypothesis Testing using the t-test

_________ Calculate the sample mean speed for the momentum before.

_________ Calculate the sample mean speed for the momentum after

_________ Are the sample means for the two samples mathematically different?

__________________ What is the p-value? Use the TTEST function with two tails to determine the p-value for this two sample data.

__________________ Is the difference in the means statistically significant
at a risk of a type I error alpha α = 0.05?

__________________ Would we fail to reject| or |reject a null hypothesis of no difference in the sample means?

__________________ What is the maximum level of confidence we can have that the
difference is statistically significant?

__________________
Does the data support the hypothesis of the conservation of momentum or does the data reject the the conservation of momentum?