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: x,; n, = 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: x,; n, = 17 34.2 23.1 28.0 30.5 50.3 11.1 28.8 40.0 44.9 40.7 60.1 21.3 42.8 18.0 36.9 28.0 32.5 In USE SALT 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, s, x2, and s2. (Round your answers to four decimal places.) % | % X2 = % $2 | % (b) Let u, be the population mean for x, and let u, be the population mean for x3. Find a 90% confidence interval for u, - Hz. (Round your answers to two decimal places.) lower limit % upper limit %

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
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Question
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: x,; n, = 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: x,; n, = 17
28.0
30.5
34.2
50.3
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
In USE SALT
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,, s,, x2, and s,. (Round your answers to four decimal places.)
%
%3D
'1
%
X2
%
(b) Let u, be the population mean for x, and let u, be the population mean for x,. Find a 90% confidence interval for u, - µ2. (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: x,; n, = 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: x,; n, = 17 28.0 30.5 34.2 50.3 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 In USE SALT 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,, s,, x2, and s,. (Round your answers to four decimal places.) % %3D '1 % X2 % (b) Let u, be the population mean for x, and let u, be the population mean for x,. Find a 90% confidence interval for u, - µ2. (Round your answers to two decimal places.) lower limit % % upper limit
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