A company claims that a new manufacturing process changes the mean amount of aluminum needed for...

80.2K

Verified Solution

Question

Statistics

A company claims that a new manufacturing process changes themean amount of aluminum needed for cans and therefore changes theweight. Independent random samples of aluminum cans made by the oldprocess and the new process are taken. The summary statistics aregiven below. Is their evidence the 5% significance level (or 95confidence level) to support the claim that the mean weight for allold cans is different than the mean weight for all new cans?Justify fully!

The old process had a sample size of 25 with a mean of 0.509 anda standard deviation of 0.019. The new process has a sample size of25 with a mean of 0.495 and a standard deviation of 0.021.

For any Hypothesis Test make sure to state Ho, Ha, Teststatistic, p-value, whether you reject Ho, and your conclusion inthe words of the claim.

For any confidence interval make sure that you interpret theinterval in context, in addition to using it for inference.

  

Answer & Explanation Solved by verified expert
3.7 Ratings (392 Votes)
Claim The mean weight for all old cans isdifferent than the mean weight for all new cans that is The null and alternative hypotheses areTest statisticsPopulation standard deviations are unknown ttest would beapplicableThe formula of ttest    See Answer
Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:
  • Unlimited Question Access with detailed Answers
  • Zin AI - 3 Million Words
  • 10 Dall-E 3 Images
  • 20 Plot Generations
  • Conversation with Dialogue Memory
  • No Ads, Ever!
  • Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!
Become a Member

Other questions asked by students