HYPOTHESIS TESTING

1.DOE PRACTICAL TEAM MEMBER

1. Person A (Jun Weng)

2. Person B (Roy)

3. Person C (Adam)

4. Person D (yongjie)

5. Person E (peijie)

2.FULL FACTORIAL DATA TABLE

3.FRACTIONAL FACTORIAL DATA TABLE

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):

The catapult that has 20cm arm length and start with angle 20 degree  and stop with 60 degree, the flying distance for both catapult A and B have no difference.

 

State the alternative hypothesis (H₁):

The catapult that has 20cm arm length and start with angle 20 degree  and stop with 60 degree, the flying distance for both catapult A and B are different.

Step 2:

Formulate an analysis plan.

Sample size is _n < 30_ 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:

MEAN: 156.4

STANDARD DEVIATION: 3.43

State the mean and standard deviation of sample catapult B:

MEAN: 155.325

STANDARD DEVIATION:  4.4025

Compute the value of the test statistic (t):

 

 

N1=8   N2=8

Σ=4.2

T=0.5119

V=n-1=7

Step 4:

Make a decision based on result

Type of test

1. Two-tailed test: [ 0.5119 ]  Critical value t_α/2 = ± 2.365

CONCLUSION

The catapult that has 20cm arm length and start with angle 20 degree  and stop with 60 degree, the flying distance for both catapult A and B have no difference.

REFLECTION

From hypothesis testing, I have learnt how to state the null and alternative hypothesis. To determine which one is more accurate, I will formulate the analysis plan and then calculate the test statistic.Hence,we can make a decision based on the result and finally we can make conclusion.Thus, we can always use this step before we start design our product to make it more efficient.