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1. Considerthe following:

  • How is data analytics different from statistics? 
  • What are the main differences between descriptive,      predictive, and prescriptive analytics tools?
  • How do businesses use analytics to convert raw      operational data into actionable information?

Reflecton the following in a minimum of 500 words.

Thinkabout the organization you work for (or any other organization you are familiar with). Does the organization use data analytics? 

  • If so, how is it used? How can the organization improve      the way it uses data analytics? What opportunities is the organization      missing out on?
  • If not, how could data analytics be used to improve the      organizations performance?

2. Considerthe following:

Many business activities generate data that can be thought of as random. An example described in the textbook is the servicing of cars at an oil change shop. Each car entering the shop can be considered an experiment with random outcomes. A variable of interest in this experiment could be the amount of time necessary to service the car. Service time will vary randomly with each car. Often, we can capture the most relevant characteristics of a stochastic process with a simple probability distribution model. We can then analyze the model to make predictions and drive decisions. For instance, we could estimate the number of technicians the oil change shop needs to service demand on a Saturday afternoon.

Respondto the following questions:

  • What      is a random variable? 
  • How      would you differentiate a discrete from a continuous random variable?

A laptop manufacturing company has implemented a 2-step process to test the quality of each production batch. In the first step, a technician randomly selects 15 laptops from the batch and determines whether they meet specifications. The batch is considered acceptable provided no more than 1 laptop fails to meet specifications. Otherwise, the entire batch has to be tested in the second step. Historical data shows that 95% of the laptops produced adhere to specifications.

Reflecton the following in a minimum of 500 words:

  • What      are the 4 characteristics of a binomial experiment?
  • Can      we use a binomial distribution to model this process?
  • What      is the probability that the entire batch unnecessarily has to be tested if      in fact 95% of its laptops conform to specifications? (Hint: Use Excels      =BINOMDIST() function to find the probability)
  • What      is the probability that the batch is incorrectly accepted if only 75% of      its laptops actually conform to specifications?
  • What      situations in your organization might this type of analysis apply to?      Explain.

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