a 90% confidence interval

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
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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.t
Technology companies, % foreign revenue: x1; n1 = 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
49.4
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: x2; n2 = 17
28.0
30.5
34.2
50.3
11.1
28.8
18.0
40.0
44.9
40.7
60.1
23.1
21.3
42.8
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 x,, 51, x2, and s2. (Round your answers to two decimal places.)
%
(b) Let u, be the population mean for x, and let uz be the population mean for x2. Find a 90% confidence interval for u - H2. (Round your answers to two decimal places.)
lower limit
%
upper limit
%
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.t Technology companies, % foreign revenue: x1; n1 = 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 49.4 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: x2; n2 = 17 28.0 30.5 34.2 50.3 11.1 28.8 18.0 40.0 44.9 40.7 60.1 23.1 21.3 42.8 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 x,, 51, x2, and s2. (Round your answers to two decimal places.) % (b) Let u, be the population mean for x, and let uz be the population mean for x2. Find a 90% confidence interval for u - H2. (Round your answers to two decimal places.) lower limit % upper limit %
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