Question

1. In 2010, Apple introduced the iPad, a tablet-style computer that its former CEO Steve Jobs called a "truly magical and revolutionary product" (CNN, January 28, 2010). Suppose you are put in charge of determining the age profile of people who purchased the iPad in the United States. Explain, in detail, the following sampling strategies that you could use to select a representative sample a. Simple random sampling b. Stratified random sampling c. Cluster sampling 2. Natalie Min is an undergraduate in the Haas School of Business at Berkeley. She wishes to pursue an MBA from Berkeley and wants to know the profile of other students who are likely to apply to the Berkeley MBA program. In particular, she wants to know the GPA of students with whom she might be competing. She randomly surveys 40 students from her Accounting class for the analysis. Discuss, in detail, whether or not Natalie's analysis is based on a representative sample. 3. A random sample is drawn from a population with mean p-66 and standard deviation ơ-55. a. Comment on the sampling distribution of the sample mean with n- 16, and n-36. b. Can you use the standard normal distribution to calculate the probability that the sample mean falls between 66 and 68 for both sample sizes? Report the probability if you answered yes to the previous question for either sample size. c. 4. Beer bottles are filled so that they contain an average of 330 ml of beer in each bottle. Suppose that the amount of beer in a bottle is normally distributed with a standard deviation of 4 ml. a at is the probability that a randomly selected botle will have less than 325 ml of b. What is the probability that a randomly selected 6-pack of beer will have a mean c. What is the probability that a randomly selected 12-pack of beer will have a mean d. Comment on the sample size and the corresponding probabilities. beer? amount less than 325 ml? amount less than 325 ml?

Answer 1