Question

Two manufacturing processes are being compared to try to reduce the number of defective products made. During 8 shifts for each process, the following results were observed:

	Line A	Line B
n	8	8
x-bar	181	187
s	8	5

Based on a 5% significance level, did line B have a larger average than line A?

*Do not use the p-value method

*Use the five step method

Step 1: H₀ :

H_A:

Step 2: alpha =

Step 3: Test Statistic:

Step 4: Decision Rule:

Step 5: Calculation and Decision

Reject or do not reject H₀? Why?

Based on a 5% significance level, did line B have better performance than line A in terms of process variation?

*Do not use the p-value method

*Use and show the five step method, as shown above

Reject or do not reject the H₀? Why?

Answer 1

Let denite the average number of defective products made by Line A and Line B respectively.

Conclusion in context of problem :

There is enough evidence to support the claim that line B have a significantly larger average than line A.