In: Statistics and Probability
Directions: Solve the two following problems with the “stacked” questions that follow & select the best answer to each as letters on the answer sheet provided.
ABC Soft Drink LLC. Is a local producer of a favorite regional refreshment. Management has ordered the Quality Assurance Department to test the advertised fluid ounce of the 16.0 bottle size. The standard deviation for this size is 0.652 fluid ounces. A sample of 144 bottles has been examined & the mean was found to be 15.62 fluid ounces. Use an appropriate statistical test at the 0.05 level of significance to determine if this sample is a good representation of the advertised level of fluid ounces.
1. Ho & Ha:
2. Type of test & direction:
3. test value & critical value comparison (traditional method):
4. alpha & p-value comparison (technology) :
5. Decision:
Charleston County has recently promulgated in all of their official HR employment documents that the minimum first-year teachers’ salary is $32,555 per annum. A sample of 25 first-year teachers’ salaries produced a mean of $31,991 & a concomitant standard deviation of $1563. At a confidence level of 90%, what can be said of the claim?
6. Ho & Ha:
7. Type of test & direction:
8. test value & critical value comparison (traditional method)
9. alpha & p-value comparison (technology):
10. Decision:
Decision: At the 0.05 level of significance we cannot conclude that this sample is a good representation of the advertised level of fluid ounces.
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Decision: We cannot conclude that the minimum first-year teachers’ salary is $32,555 per annum.