Lin Xiang, a young banker has moved office. She has recently been promoted and made the manager of City Bank a newly established bank in Exeter. Her previous job was with the same bank in their Torquay office. After a few weeks she has discovered that maintaining the correct number of bank tellers seems to be more difficult than it was when she was a branch assistant at the Torquay office. Some days the lines are very long, but on other days they are very short and the bank tellers seem to have little to do. She wonders if the number of customers at her new branch is simply more variable than the number of customers at the branch where she used to work. She collects the following data on the number of daily transactions from her branch and the branch where she used to work: Exeter branch : 156, 278, 134, 202, 236, 198, 187, 199, 143, 165, 223 Torquay branch: 345, 332, 309, 367, 388, 312, 355, 363, 381 Perform Fischers F-Test to see if the variation in the Exeter branch is greater than the variance in the Torquay branch. Use the default level of significance. (a) Calculate the variance of the Exeter Branch (state to 2 dp) Variance =Answer (b) Calculate the variance of the Torquay Branch (state to 2 dp) Variance =Answer (c) What is the test statistic? F= Answer (state to 1 dp) (d) Look up the critical value. Fc = Answer (e) The evidence ( weakly, moderately, strongly ) (supports, does not support) the claim that the variation in the Exeter branch is (>,<, equal) the variation in the Torquay branch.
Lin Xiang, a young banker has moved office. She has recently been promoted and made the manager of City Bank a newly established bank in Exeter. Her previous job was with the same bank in their Torquay office.
After a few weeks she has discovered that maintaining the correct number of bank tellers seems to be more difficult than it was when she was a branch assistant at the Torquay office.
Some days the lines are very long, but on other days they are very short and the bank tellers seem to have little to do. She wonders if the number of customers at her new branch is simply more variable than the number of customers at the branch where she used to work.
She collects the following data on the number of daily transactions from her branch and the branch where she used to work:
Exeter branch : 156, 278, 134, 202, 236, 198, 187, 199, 143, 165, 223
Torquay branch: 345, 332, 309, 367, 388, 312, 355, 363, 381
Perform Fischers F-Test to see if the variation in the Exeter branch is greater than the variance in the Torquay branch.
Use the default level of significance.
(a) Calculate the variance of the Exeter Branch (state to 2 dp)
Variance =Answer
(b) Calculate the variance of the Torquay Branch (state to 2 dp)
Variance =Answer
(c) What is the test statistic?
F= Answer (state to 1 dp)
(d) Look up the critical value.
Fc = Answer
(e) The evidence ( weakly, moderately, strongly ) (supports, does not support) the claim that the variation in the Exeter branch is (>,<, equal) the variation in the Torquay branch.
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