A company that manufactures special tires for vehicles in the construction industry has 2 plants where the same model of tire is manufactured with the production levels shown for 10 days: In each plant the manufacturing process is reproduced in the same way and the production management wants to know if there are differences in the production of each plant through: A. A simple comparative study considering a 1% error. b. A one-way ANOVA-based comparative study with one sample per group. Consider a confidence level of 99%.

A bank has a Head Office in Delhi and a branch at Mumbai. There are long customer queues at one office, while customer queues are short at the other office. The Operations Manager of the bank wonders if the customers at one branch are more variable than the number of customers at another branch. A research study of customers is carried out by him. The variance of Delhi Head Office customers is 31 and that for Mumbai branch is 20. The sample size for Delhi Head Office is 11 and that for Mumbai branch is 21. Use a 5 % level of significance to test the difference in variance for both the branches.

For each scenario listed on the left, determine whether the scenario represents an Indepenent Samples or Matched pairs situation by placing the appropriate letter in the box provided.   -Comparing pre-test scores before training to post-test scores -Comparing pain levels of a group receiving a placebo to a group receiving a medicine -Comparing pain levels before and after treatment with magnetic therapy Comparing the number of speeding tickets received by men to the number received by women   a.Independent Samples b.Matched Pairs

In a clinical test with 2440 subjects, 70% showed improvement from the old treatment. While in a clinical test with another 2310 subjects, 75% showed improvement from the new treatment. Construct a 95% confidence interval to estimate the difference of the two population proportions.