# MS 150 quiz eleven 11.1 • Name:

MarbleMomentum beforeMomentum after
tiny duck4097
tiny duck7351
tiny duck8290
tiny duck9180
tiny duck9293
duck173154
duck203191
duck209210
duck213206
duck214156
duck224192
duck224188
duck228179
duck259271.6
taw662762
taw729883
taw739708
taw847689
taw851700
taw859914
taw883730

In physical science laboratory 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

1. _________ Calculate the sample mean speed for the momentum before.
2. _________ Calculate the sample mean speed for the momentum after
3. _________ Are the sample means for the two samples mathematically different?
4. __________________ What is the p-value? Use the TTEST function with two tails to determine the p-value for this two sample data.
5. __________________ Is the difference in the means statistically significant at a risk of a type I error alpha α = 0.05?
6. __________________ Would we fail to reject | or | reject a null hypothesis of no difference in the sample means?
7. __________________ What is the maximum level of confidence we can have that the difference is statistically significant?
8. __________________ Does the data support the hypothesis of the conservation of momentum or does the data reject the the conservation of momentum?