For large U.S. companies, what percentage of their total income comes from foreign sales? Suppose that a random sample of technology companies gave the following information. Technology companies, % foreign revenue: x₁; n₁ = 16 62.7 55.6 47.1 59.5 55.4 41.1 65.2 51.0 53.5 50.7 48.6 44.5 49.5 61.3 39.4 41.7 Further suppose that another independent random sample of basic consumer product companies gave the following information. Basic consumer product companies,% foreign revenue: X2; n₂ = 17 27.9 30.6 34.3 50.2 11.2 28.9 40.1 44.8 40.8 60.2 23.2 21.2 42.7 18.1 37.0 28.1 32.4 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 ✗₁ and S₁. (Round your answers to four decimal places.) = 50.6563 × % ☑1 S1 = % Use a calculator with mean and standard deviation keys to calculate X2 and S2. (Round your answers to four decimal places.) % = = % (b) Let μ₁ be the population mean for decimal places.) % ✗1 and let M2 be the population mean for X2. Find an 85% confidence interval for μ₁ - μ2. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to two
For large U.S. companies, what percentage of their total income comes from foreign sales? Suppose that a random sample of technology companies gave the following information. Technology companies, % foreign revenue: x₁; n₁ = 16 62.7 55.6 47.1 59.5 55.4 41.1 65.2 51.0 53.5 50.7 48.6 44.5 49.5 61.3 39.4 41.7 Further suppose that another independent random sample of basic consumer product companies gave the following information. Basic consumer product companies,% foreign revenue: X2; n₂ = 17 27.9 30.6 34.3 50.2 11.2 28.9 40.1 44.8 40.8 60.2 23.2 21.2 42.7 18.1 37.0 28.1 32.4 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 ✗₁ and S₁. (Round your answers to four decimal places.) = 50.6563 × % ☑1 S1 = % Use a calculator with mean and standard deviation keys to calculate X2 and S2. (Round your answers to four decimal places.) % = = % (b) Let μ₁ be the population mean for decimal places.) % ✗1 and let M2 be the population mean for X2. Find an 85% confidence interval for μ₁ - μ2. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to two
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4CGP
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For large U.S. companies, what percentage of their total income comes from foreign sales? Suppose that a random sample of technology companies gave the following information. Answer parts a-b please.
Transcribed Image Text:For large U.S. companies, what percentage of their total income comes from foreign sales? Suppose that a random sample of technology companies gave the following information.
Technology companies, % foreign revenue: x₁; n₁ = 16
62.7 55.6 47.1 59.5 55.4 41.1 65.2 51.0 53.5 50.7 48.6 44.5
49.5 61.3 39.4 41.7
Further suppose that another independent random sample of basic consumer product companies gave the following information.
Basic consumer product companies,% foreign revenue: X2; n₂ = 17
27.9 30.6 34.3 50.2 11.2 28.9 40.1 44.8 40.8 60.2 23.2 21.2 42.7 18.1 37.0 28.1 32.4
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 ✗₁ and S₁. (Round your answers to four decimal places.)
= 50.6563 × %
☑1
S1
=
%
Use a calculator with mean and standard deviation keys to calculate X2 and S2. (Round your answers to four decimal places.)
%
=
=
%
(b) Let μ₁ be the population mean for
decimal places.)
%
✗1
and let M2
be the population mean for X2. Find an 85% confidence interval for μ₁ - μ2. (Enter your answer in the form: lower limit to upper limit. Include the word "to." Round your numerical values to two
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