Notes, abstracts, papers, exams and problems of Mathematics

) Hypotheses, Type I and Type II Errors, and Statistical Tests

For each of the following tests, state the hypotheses, identify if it is a right-, left-, or two-tailed test and write Type I Error and Type II Error pertaining to the problem.

1. a) A professor of statistics states that the average student spends 3 hours studying for the midterm exam. Ho: μ = 3 vs. Ha: μ ≠ 3 Two-tailed test Type I Error: Concluding the average student doesn’t study 3 hours for midterm when in fact that is false. Type II Error: Not concluding the average student doesn’t study 3 hours for midterm when in fact that is true.
2. b) A spouse stated that the average amount of money spent on Christmas gifts for immediate family members is above $1,200. Ho: μ = 1200 (or

Golden circle:

This relates to the innovation. If a company is able to attract those who share its beliefs, it is also able to connect easier with innovators.

This is a graph made up of three circles, each inside the other. Each circle has a meaning and a way to apply it to our business efficiently.

We can explain the operation of the Golden Circle in such a way that while most companies ask themselves the answers to the question 'what' as their starting point, they are fully aware of the 'how', but very few companies are clear about the 'why'.

The 'what' responds to what we do and what we want to do. The 'how' responds to the processes through which we carry out our actions, and the 'why' would respond to the reason why we develop our business.... Continue reading "The Golden Circle: Driving Innovation and Quality Management" »

    1) OCF = (S – C)(1 – t) + Tc Depreciation

OCF = [($5 × 1,900) – ($2.20 × 1,900)](1 – 0.34) + 0.34($12,000/5)

 OCF = $4,327.20

NPV = –$12,000 + $4,327.20(PVIFA14%,5)   = $2,855.63

NPV = –$16,200 + $5,466 / 1.12 + $5,680 / 1.122 + $5,978 / 1.123 + $5,808 / 1.124  = $1,154.53

3)OCF = ($2,050,000 – 950,000)(1 – 0.35) + 0.35($2,400,000/3) = $995,000

NPV = –$2,400,000 + $995,000(PVIFA12%,3) = –10,177.89

Description: An Explanation of an Observation

Measurement: A Way to Describe the World with Numbers

Estimation: Using Knowledge of Something Familiar to Guess the Size of a New Object

Precision: How Close Measurements Are to Each Other

Accuracy: Comparing the Measurement to the Actual, Accepted, or Real Value

S.I.: International System of Units

Meter: The S.I. Unit of Length

Volume: The Amount of Space an Object Occupies

Mass: The Amount of Matter in an Object (S.I. Uses Kilogram)

Kilogram: S.I. Unit for Mass

Weight: The Measurement for Force (S.I. Uses the Newton)

Kelvin: The SI Measurement of Temperature (Same as C but Starts at -273 C)

Rate: The Amount of Change in a Measurement in a Given Amount of Time

Table: Displays Information in a Row or Columns