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 = 1662.855.747.059.655.341.065.151.153.450.848.544.649.461.239.341.8Another 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 = 1728.030.534.250.311.128.840.044.940.760.123.121.342.818.036.928.032.5 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 x1, s1, 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 a 90% confidence interval for ?1 − ?2. (Round your answers to two decimal places.)lower limit %upper limit %

Given the percentage of total income that comes from foreign sales for a random sample of technology…

Answered: For large U.S. companies, what…

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

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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: 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	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 x₁, s₁, 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 a 90% confidence interval for ?₁ − ?₂. (Round your answers to two decimal places.)

lower limit		%
upper limit		%

Definition Definition Measure of central tendency that is the average of a given data set. The mean value is evaluated as the quotient of the sum of all observations by the sample size. The mean, in contrast to a median, is affected by extreme values. Very large or very small values can distract the mean from the center of the data. Arithmetic mean: The most common type of mean is the arithmetic mean. It is evaluated using the formula: μ = 1 N ∑ i = 1 N x i Other types of means are the geometric mean, logarithmic mean, and harmonic mean. Geometric mean: The nth root of the product of n observations from a data set is defined as the geometric mean of the set: G = x 1 x 2 ... x n n Logarithmic mean: The difference of the natural logarithms of the two numbers, divided by the difference between the numbers is the logarithmic mean of the two numbers. The logarithmic mean is used particularly in heat transfer and mass transfer. ln x 2 − ln x 1 x 2 − x 1 Harmonic mean: The inverse of the arithmetic mean of the inverses of all the numbers in a data set is the harmonic mean of the data. 1 1 x 1 + 1 x 2 + ...

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