Elementary Statistics
Elementary Statistics
12th Edition
ISBN: 9780321837936
Author: Mario F. Triola
Publisher: PEARSON
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Chapter 12, Problem 7CRE

Platelets: Normal Distribution Based on Data Set 1 in Appendix B, assume that adult females have blood platelet counts that are normally distributed with a mean of 280 and a standard deviation of 65. (All units arc in 1000 cells/μL.)

  1. a. Find the probability that a randomly selected adult female has a platelet count greater than 345.
  2. b. Find the probability that a randomly selected adult female has a platelet count between 215 and 345.
  3. c. If 25 adult females arc randomly selected, find the probability that the mean of their platelet counts is less than 319.
  4. d. Find the value of P80, the 80th percentile.
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II Consider the following data matrix X: X1 X2 0.5 0.4 0.2 0.5 0.5 0.5 10.3 10 10.1 10.4 10.1 10.5 What will the resulting clusters be when using the k-Means method with k = 2. In your own words, explain why this result is indeed expected, i.e. why this clustering minimises the ESS map.
why the answer is 3 and 10?
PS 9 Two films are shown on screen A and screen B at a cinema each evening. The numbers of people viewing the films on 12 consecutive evenings are shown in the back-to-back stem-and-leaf diagram. Screen A (12) Screen B (12) 8 037 34 7 6 4 0 534 74 1645678 92 71689 Key: 116|4 represents 61 viewers for A and 64 viewers for B A second stem-and-leaf diagram (with rows of the same width as the previous diagram) is drawn showing the total number of people viewing films at the cinema on each of these 12 evenings. Find the least and greatest possible number of rows that this second diagram could have. TIP On the evening when 30 people viewed films on screen A, there could have been as few as 37 or as many as 79 people viewing films on screen B.

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