Mathematical Statistics with Applications
Mathematical Statistics with Applications
7th Edition
ISBN: 9780495110811
Author: Dennis Wackerly, William Mendenhall, Richard L. Scheaffer
Publisher: Cengage Learning
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Chapter 1.3, Problem 15E

Refer to Exercise 1.4 and repeat parts (a) and (b) of Exercise 1.13.

1.13 Refer to Exercise 1.2.

  1. a Calculate y ¯ and s for the data given.
  2. b Calculate the interval y ¯ ± k s for k = 1, 2, and 3. Count the number of measurements that fall within each interval and compare this result with the number that you would expect according to the empirical rule.

1.4 The top 40 stocks on the over-the-counter (OTC) market, ranked by percentage of outstanding shares traded on one day last year are as follows:

Chapter 1.3, Problem 15E, Refer to Exercise 1.4 and repeat parts (a) and (b) of Exercise 1.13. 1.13 Refer to Exercise 1.2. a

  1. a Construct a relative frequency histogram to describe these data.
  2. b What proportion of these top 40 stocks traded more than 4% of the outstanding shares?
  3. c If one of the stocks is selected at random from the 40 for which the preceding data were taken, what is the probability that it will have traded fewer than 5% of its outstanding shares?
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You are conducting quality control for a company that manufactures LED displays. The factory you are assessing is supposed to have a manufacturing defect rate of 1 in 100 LED displays. As part of your assessment, you want to verify this defect rate by analyzing a random sample of LED displays. You are planning to randomly sample 1500 displays from this factory and observe how many of them contain manufacturing defects. Let Zi be equal to 1 if the i’th display has a defect and 0 otherwise, for i = 1,...,1500. (a) What is the statistic that you will use to estimate the defect rate for this factory? How do you compute it using Z1, Z2, . . . , Z1500? (b) Assuming that the true defect rate for this factory is in fact 1 in 100 displays, can we approximate the sampling distribution of the statistic that you selected in part (a) using a normal distribution? Please state and check the requirements for applying the approximation, and identify the mean and standard deviation of the normal…

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