Essentials of Statistics for Business and Economics
Essentials of Statistics for Business and Economics
9th Edition
ISBN: 9780357118191
Author: David R. Anderson, Dennis J. Sweeney, Thomas A. Williams
Publisher: Cengage Learning US
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Chapter 10.4, Problem 31E

Impact of Pinterest on Purchase Decisions. Forbes reports that women trust recommendations from Pinterest more than recommendations from any other social network platform (https://www.forbes.com/sites/marketshare/2012/03/20/why-brand-managers-need-to-take-an-interest-in -pinterest/#5e3b22fb6375). But does trust in Pinterest differ by gender? The following sample data show the number of women and men who stated in a recent sample that they trust recommendations made on Pinterest.

Chapter 10.4, Problem 31E, Impact of Pinterest on Purchase Decisions. Forbes reports that women trust recommendations from

  1. a. What is the point estimate of the proportion of women who trust recommendations made on Pinterest?
  2. b. What is the point estimate of the proportion of men who trust recommendations made on Pinterest?
  3. c. Provide a 95% confidence interval estimate of the difference between the proportion of women and men who trust recommendations made on Pinterest.
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Question 1 The data shown in Table 1 are and R values for 24 samples of size n = 5 taken from a process producing bearings. The measurements are made on the inside diameter of the bearing, with only the last three decimals recorded (i.e., 34.5 should be 0.50345). Table 1: Bearing Diameter Data Sample Number I R Sample Number I R 1 34.5 3 13 35.4 8 2 34.2 4 14 34.0 6 3 31.6 4 15 37.1 5 4 31.5 4 16 34.9 7 5 35.0 5 17 33.5 4 6 34.1 6 18 31.7 3 7 32.6 4 19 34.0 8 8 33.8 3 20 35.1 9 34.8 7 21 33.7 2 10 33.6 8 22 32.8 1 11 31.9 3 23 33.5 3 12 38.6 9 24 34.2 2 (a) Set up and R charts on this process. Does the process seem to be in statistical control? If necessary, revise the trial control limits. [15 pts] (b) If specifications on this diameter are 0.5030±0.0010, find the percentage of nonconforming bearings pro- duced by this process. Assume that diameter is normally distributed. [10 pts] 1

Chapter 10 Solutions

Essentials of Statistics for Business and Economics

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