Hypothesis Testing

Captain America will use Run #2 and Run#6. To determine the effect of stop angle.

 

For Captain America, Black Widow. USE THIS TEMPLATE TABLE and fill all the blanks

The QUESTION	To determine the effect of stop angle on the flying distance of the projectile
Scope of the test	The human factor is assumed to be negligible. Therefore different user will not have any effect on the flying distance of projectile.   Flying distance for catapult A is collected using the factors below: Arm length = 33 cm Projectile weight = 0.85 grams Stop angle = 140 degree and 190 degree
Step 1: State the statistical Hypotheses:	State the null hypothesis (H0): With 33cm arm length and the 0.85g of projectile weight, the flying distance of projectile using 140 degree and 190 degree have no difference.   State the alternative hypothesis (H1): With 33cm arm length and the 0.85g of projectile weight, the flying distance of projectile using 140 degree and 190 degree are different.   The higher angle of arm length, the further the flying distance.
Step 2: Formulate an analysis plan.	Sample size is 16. Therefore t-test will be used.      Significance level (α) used in this test is 0.02.
Step 3: Calculate the test statistic	State the mean and standard deviation of Run # 2: Mean=80.6cm Standard deviation=4.60cm State the mean and standard deviation of Run #6: Mean=93.1cm Standard deviation=3.89cm  Compute the value of the test statistic (t): v = 8 + 8 - 2 = 14
Step 4: Make a decision based on result	Type of test (check one only)        Left-tailed test: [ __ ]  Critical value tα = - ______        Right-tailed test: [ __ ]  Critical value tα =  ______        Two-tailed test: [o]  Critical value tα/2 = ± 5.4897   Use the t-distribution table to determine the critical value of tα or tα/2   Compare the values of test statistics, t, and critical value(s), tα or ± tα/2
Conclusion that answer the initial question	With 33cm arm length and the 0.85g of projectile weight, the flying distance of projectile using 140 degree and 190 degree have difference.   Therefore, this alternative hypothesis is valid.
Compare your conclusion with the conclusion from the other team members.	The alternative hypothesis  is valid as compared to black widow. The angle arm length will affect the flying distance of the projectile.
What inferences can you make from these comparisons?	The lower the angle of arm length, the further the flying distance. As when the arm length is lower, the projectile gains more energy to fly.
Your learning reflection on this Hypothesis testing activity	In this activity, I met a lot of difficulties when doing all the calculations as we had to understand the question fully. It doesn’t like DOE as we can obtain the results by comparing the graph. For hypothesis testing, it needed us to determine the mean( , Standard deviation(s) and calculate for test statistic. However, hypothesis testing will help us analysing the sample data which is more efficient to determine the results.