Hypothesis Testing

HYPOTHESIS TESTING TASK FOR INDIVIDUAL BLOG

For this assignment, you will use the DOE experimental data using the CATAPULT that you have conducted during the practical. You will use FULL FACTORIAL DATA. You are free to express yourself in your blog, but the table provided on page 2 to 7 must be followed.

DOE PRACTICAL TEAM MEMBERS (fill this according to your DOE practical):

1. JASMINE (Iron Man)

2. HARIZ (Thor)

3. TRISTAN (Captain America)

4. WENG YAN (Black Widow)

5. GLENN (Hulk)

 

Data collected for FULL factorial design using CATAPULT A (fill this according to your DOE practical result): 

Iron Man will use Run #1 and Run#3. To determine the effect of projectile weight.

Thor will use will use Run #2 and Run#4. To determine the effect of projectile weight.

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

Black Widow will use Run #4 and Run#8. To determine the effect of stop angle.

Hulk will use Run #6 and Run#8. To determine the effect of projectile weight

 I am Captain America, Avenger Assemble.

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 =  28cm Projectile weight = 0.85   grams Stop angle = 50 degree and 90 degree
Step 1: State the statistical Hypotheses:	State the null hypothesis (H0):  There is no significant effect on the flying distance of the projectile by the stop angle of the catapult  H0 :                                         State the alternative hypothesis (H1):  There is a significant effect on the flying distance of the projectile by the stop angle of the catapult  H1:
Step 2: Formulate an analysis plan.	Sample size is less than 30.  Therefore t-test will be used.     Since the sign of H1 is "different from " (≠), a two tailed test is used.     Significance level (α) used in this test is 0.05
Step 3: Calculate the test statistic	State the mean and standard deviation of Run # 2:  mean: 198.4  standard deviation: 3.49     State the mean and standard deviation of Run #6:  mean: 106.1  standard deviation: 2.77     Compute the value of the test statistic (t):
Step 4: Make a decision based on result	Type of test (check one only) 1.    Left-tailed test: [ __ ]  Critical value tα = - ______ 2.    Right-tailed test: [ __ ]  Critical value tα =  ______ 3.    Two-tailed test: [ YES ]  Critical value tα/2 = ± 2.145   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 Since the test statistic, t = 54.94 lies in the rejection region  (t > tα/2 ) Therefore Ho is rejected.
Conclusion that answer the initial question	Since the test statistic, t = 54.94  lies in the rejection region, the null hypothesis is rejected. At 0.05 level of significance, There is a significant effect on the flying distance of the projectile by the stop angle of the catapult
Compare your conclusion with the conclusion from the other team members.	Black Widow also concluded that the null hypothesis is rejected and the alternative hypothesis is accepted instead This is the link to Black Widow's blog: CLICK HERE
What inferences can you make from these comparisons?	When comparing my conclusion to Black Widow, I can determine that my conclusion is correct as we both came to the same conclusion
Your learning reflection on this Hypothesis testing activity	Overall, Hypothesis Testing is pretty easy and interesting, and a very helpful skill that I can apply for others module when I am testing whether my hypothesis is true or false