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: 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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
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Chapter10: Statistics
Section10.2: Representing Data
Problem 22PFA
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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.

Technology companies, % foreign revenue: x1n1 = 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: x2n2 = 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

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 x1s1, x2, and s2. (Round your answers to four decimal places.)
x1 =  %
s1 =  %
x2 =  %
s2 =  %

(b) Let ?1 be the population mean for x1 and let ?2 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       =__%

 

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