Hypothesis testing

 HYPOTHESIS TESTING TASK FOR INDIVIDUAL BLOG

 

For this assignment, you will use the DOE experimental data that your practical team have collected both for FULL Factorial and FRACTIONAL Factorial.

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

1. Person A (Jun Weng)

2. Person B (Roy)

3. Person C (Adam)

4. Person D (yongjie)

5. Person E (peijie)

 

 

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

: 

 

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

 

Jun Weng will use Run #2 from FRACTIONAL factorial and Run#2 from FULL factorial.

Roy will use Run #3 from FRACTIONAL factorial and Run#3 from FULL factorial.

Adam will use Run #5 from FRACTIONAL factorial and Run#5 from FULL factorial.

yongjie will use Run #8 from FRACTIONAL factorial and Run#8 from FULL factorial.

peijie will use Run #3 from FRACTIONAL factorial and Run#3 from FULL factorial.

 

 

USE THIS TEMPLATE TABLE and fill all the blanks

The QUESTION	The catapult (the ones that were used in the DOE practical) manufacturer needs to determine the consistency of the products they have manufactured. Therefore they want to determine whether CATAPULT A produces the same flying distance of projectile as that of CATAPULT B.
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 and catapult B is collected using the factors below: Arm length =  28 cm Start angle = 20 degree Stop angle = 60 degree
Step 1: State the statistical Hypotheses:	State the null hypothesis (H0):   Both catapults A and B has same flying distances of the projectile   State the alternative hypothesis (H1):   Catapults A and B do not have the same flying distances of the projectile
Step 2: Formulate an analysis plan.	Sample size is 8 Therefore t-test will be used.     Since the sign of H1 is ≠, a left/two/right 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 sample catapult A:   nA = 8 runs Mean = 156.4cm Standard Deviation = 3.43cm     State the mean and standard deviation of sample catapult B: nA = 8 runs Mean = 155.325cm Standard Deviation = 4.40cm       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: [✓]  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   Therefore Ho is accepted.
Conclusion that answer the initial question	Since the null hypothesis is accepted, Both catapults A and B has same flying distances of the projectile
Compare your conclusion with the conclusion from the other team members.   What inferences can you make from these comparisons?