Company officials are concerned about the length of time a particular drug retains its potency. A random sample (sample 1) of 6 bottles of the product is drawn from current production and analyzed for potency. A second sample (sample 2) of 6 bottles is obtained, stored for 1 year, and then analyzed. The readings obtained are as follows. (Note: The bottles in the second sample are not same the bottles used in the first sample.) Sample 1 10.2 10.5 10.3 10.8 9.8 10.6 s = 0.3502 =
Sample 2 9.8 9.6 10.1 10.2 10.1 9.7 s = 0.2483 =
1) Is there statistically significant loss of the drug’s potency after it has been stored for a year at the 0.05 level? Be sure to show your work and state the null and alternative hypotheses.
2) Construct a 95% confidence interval for the mean loss of the drug’s potency after it has been stored for a year.

Vortex company operates a retail store with two departments. information about those departments follows. department a department b sales $ 800,000 $ 450,000 cost of goods sold 497,000 291,000 direct expenses salaries 125,000 88,000 insurance 20,000 10,000 utilities 24,000 14,000 depreciation 21,000 12,000 maintenance 7,000 5,000 the company also incurred the following indirect costs. salaries $36,000 insurance 6,000 depreciation 15,000 office expenses 50,000 indirect costs are allocated as follows: salaries on the basis of sales; insurance and depreciation on the basis of square footage; and office expenses on the basis of number of employees. additional information about the departments follows. department square footage number of employees a 28,000 75 b 12,000 50 required: 1. determine the departmental contribution to overhead and the departmental net income for department a and department b.