4. Evaluating the Effect of Manufacturing Techniques on Product Quality: A manufacturing company produces a specific type of product that is made using three different manufacturing techniques: Technique A, Technique B, and Technique C. The company wants to determine if there is a statistically significant difference in the quality of the products produced using these three techniques. To assess this, they collect data on product quality by randomly selecting samples from each manufacturing technique and measuring specific quality attributes. They aim to determine if at least one of the techniques significantly outperforms the others in terms of product quality. Data was collected on product quality attributes on a scale of 0-1000 for each of the three manufacturing techniques:
Technique A: 543 127 876 234 298
Technique B: 689 412 751 98 345
Technique C: 602 456 789 213 567
HO:
H1:
Test Statistic:
(Z, t, X2 or F)?
$\alpha$ =
sample mean(s) =
sample standard deviation(s):
sample size(s) =
Test statistics formula:
Test statistic value calculated:
Decision (reject HO or not?)
Value from the table that defines the rejection region:
i.e. Reject HO if
Conclusion:
Confidence interval formula:
Confidence interval calculated:
p-value:
One-tailed or two-tailed test:
One-sample or two-sample test:
