For large U.S. companies, what percentage of their total income comes from foreign sales? A random sample of technology companies (IBM, Hewlett-Packard, Intel, and others) gave the following Technology companies, % foreign revenue: x₁; n₁ = 16 65.1 41.0 61.2 39.3 S₁ = x2 = $2= 62.8 47.0 55.7 53.4 50.8 48.5 Another independent random sample of basic consumer product companies (Goodyear, Sarah Lee, H.J. Heinz, Toys 'R' Us) gave the following information. 59.6 44.6 USE SALT 55.3 49.4 Basic consumer product companies, % foreign revenue: x₂; n₂ = 17 28.0 30.5 34.2 44.9 11.1 28.8 42.8 18.0 40.7 60.1 23.1 28.0 32.5 50.3 21.3 % % 51.1 41.8 40.0 36.9 Assume that the distributions of percentage foreign revenue are mound-shaped and symmetric for these two company types. (a) Use a calculator with mean and standard deviation keys to calculate x₁, S₁, X₂, and s₂. (Round your answers to four decimal places.) % X1 = % % % (b) Let , be the population mean for x₁ and let 4₂ be the population mean for x₂. Find an 80% confidence interval for ₁ - ₂. (Round your answers to two decimal places.) lower limit upper limit (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 80% level of nfidence, do technology companies have a greater percentage foreign revenue than basic consumer product companies?
For large U.S. companies, what percentage of their total income comes from foreign sales? A random sample of technology companies (IBM, Hewlett-Packard, Intel, and others) gave the following Technology companies, % foreign revenue: x₁; n₁ = 16 65.1 41.0 61.2 39.3 S₁ = x2 = $2= 62.8 47.0 55.7 53.4 50.8 48.5 Another independent random sample of basic consumer product companies (Goodyear, Sarah Lee, H.J. Heinz, Toys 'R' Us) gave the following information. 59.6 44.6 USE SALT 55.3 49.4 Basic consumer product companies, % foreign revenue: x₂; n₂ = 17 28.0 30.5 34.2 44.9 11.1 28.8 42.8 18.0 40.7 60.1 23.1 28.0 32.5 50.3 21.3 % % 51.1 41.8 40.0 36.9 Assume that the distributions of percentage foreign revenue are mound-shaped and symmetric for these two company types. (a) Use a calculator with mean and standard deviation keys to calculate x₁, S₁, X₂, and s₂. (Round your answers to four decimal places.) % X1 = % % % (b) Let , be the population mean for x₁ and let 4₂ be the population mean for x₂. Find an 80% confidence interval for ₁ - ₂. (Round your answers to two decimal places.) lower limit upper limit (c) Examine the confidence interval and explain what it means in the context of this problem. Does the interval consist of numbers that are all positive? all negative? of different signs? At the 80% level of nfidence, do technology companies have a greater percentage foreign revenue than basic consumer product companies?
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
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Transcribed Image Text:For large U.S. companies, what percentage of their total income comes from foreign sales? A random sample of technology companies (IBM, Hewlett-Packard, Intel, and others) gave the following information.
**Technology companies, % foreign revenue: \( x_1; \, n_1 = 16 \)**
- 62.8
- 55.7
- 47.0
- 59.6
- 55.3
- 41.0
- 65.1
- 51.1
- 53.4
- 50.8
- 48.5
- 44.6
- 61.2
- 39.3
- 41.8
Another independent random sample of basic consumer product companies (Goodyear, Sarah Lee, H.J. Heinz, Toys 'R' Us) gave the following information.
**Basic consumer product companies, % foreign revenue: \( x_2; \, n_2 = 17 \)**
- 28.0
- 30.5
- 34.2
- 11.1
- 28.8
- 40.0
- 44.9
- 40.7
- 60.1
- 23.1
- 21.3
- 42.8
- 18.0
- 36.9
- 28.0
- 32.5
Assume that the distributions of percentage foreign revenue are mound-shaped and symmetric for these two company types.
(a) Use a calculator with mean and standard deviation keys to calculate \( \bar{x}_1, \, s_1, \, \bar{x}_2, \) and \( s_2. \) (Round your answers to four decimal places.)
- \( \bar{x}_1 = \) \_\_\_\_\_\_\_\_\_%
- \( s_1 = \) \_\_\_\_\_\_\_\_\_%
- \( \bar{x}_2 = \) \_\_\_\_\_\_\_\_\_%
- \( s_2 = \) \_\_\_\_\_\_\_\_\_%
(b) Let \( \mu_1 \) be the population mean for \( x_1 \) and let \( \mu_2 \) be the population mean for \( x
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