Reference no: EM132236602

Ch. 1 Homework

1. Explain the concept of Big Data and pitfalls associated with it?

2. What does it mean to say factories of the future will be event triggered controlled?

3. Quantitative analysis involves 7 steps. What are they?

4. What is the difference between variables and parameters?

5. What is data visualization and why is it important?

6. There are 4 advantages to mathematical modeling. What are they?

Use Excel to Solve

7. You sell filters for $10 apiece. The fixed cost to make filters is $3,000. The variable cost per filter is $7. At quantities of 100, 300, 500, 800 and 1,300 your manager would like to know the equation showing how profits increase with sales and at what sales level the business breaks even (please show an X/Y graph with equation trendline).

8. Create a Python program to solve for profit (using your equation in Question #7) at a quantity of 600 units sold.

9. Complete the following graphs using data from VizdataEffectely Excel file: Good Donut (Ch 2 Effective Data Visualization), BarGraph (Ch 2 Effective Data Visualization), ErrorBars (Ch 2 Effective Data Visualization)

Ch. 2 Homework

1. What is the difference between discrete and continuous random variables?

2. What are the meanings of: binomial, Poisson and exponential distributions?

3. In a continuous distribution f(x) must be >___________ and the total area under the curve must equal ______________?

4. Explain the Empirical Rule for normal curves

5. Explain how a z score standardizes a distribution

6. F distributions test for differences in what?

7. What effect do degrees of freedom have on F distributions?

Use Excel to solve:

8. A company makes cars. Probability of 0 defective cars is 10%; 2 defects is 30%; 4 defects is 25%; 5 defects is 25% and 8 defects is 10%. Using x p(x) to calculate variance,what is the expected number of defects at +/- 2 sigma.

9. A company is making soap. Every day a supervisor takes a random sample of n=10. The probability p(x) a soap sample is bad is 0.1. Using a binomial distribution, find what is the probability of r= 3,4 or 5 defective soaps?

10. Machine breakdowns occur randomly at an average rate (λ) of 2 per day. Using a Poisson distribution, what is the probability p(x) of observing x=3 breakdowns in a given day at the factory?

11. Suppose manufacturing time for a component is normally distributed with an average of 5 minutes & standard deviation of 1 min. What is the probability a part can be made in ≤ 2.5 min? What is the probability a part can be made in ≥2.5 min?

12. Your factory has 2 ways to make a product. The engineering manager is trying to determine if the variance in both processes is the same. 2 independent random samples of sizes n1 = 12 and n2 = 8 are pulled from two normally distributed populations. Measured sample variances are 10 and 18. Using F testing at 95% confidence, can your manager say the variances are the same?

13. In your factory a repaired part lasts 15 years. Using an exponential distribution, what is the probability the part will last less than 6 years?

14. Using the VizDataEffectivelyPractice File complete graphs for: StandardDeviation (Ch 2 Effective Data Visualization), BacktoBack1 (Ch 3 Effective Data Visualization), Slopegraph (Ch 3 Effective Data Visualization)