Data on investment in the high-tech industry by venture capitalists are compiled by Venture One Corporation and published in “America’s Network Telecom Investor Supplement.” A random sample of 28 venture capital investments in the fiber optics business sector had the sample mean of 6.33 and standard deviation of 2.04 (in millions of dollars). A 95 percent confidence interval for the mean amount of all venture capital investments in the fiber optics business sector is to be constructed. a. The t− or z−value to be used to construct this interval is 1. 1.703 2. 2.052 3. 1.960 4. 1.645 b. The margin of error is equal to 1. 0.66 2. 0.76 3. 0.63 4. 0.79 c. The confidence interval is 1. (5.54, 7.12) 2. (5.67, 6.99) 3. (5.57, 7.09) 4. (5.70, 6.96) d. We can state with 95% confidence that 1. the mean amount of 28 venture capital investments in the fiber optics business sector lies in the interval constructed in part c 2. the mean amount of all venture capital investments in the fiber optics business sector lies in the interval constructed in part c 3. all amounts of venture capital investments in the fiber optics business sector lies in the interval constructed in part c 4. the mean amount of all venture capital investments in the fiber optics business sector lies outside the interval constructed in part c

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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1. Data on investment in the high-tech industry by venture capitalists are compiled by Venture One Corporation and published in “America’s Network Telecom Investor Supplement.” A random sample of 28 venture capital investments in the fiber optics business sector had the sample mean of 6.33 and standard deviation of 2.04 (in millions of dollars). A 95 percent confidence interval for the mean amount of all venture capital investments in the fiber optics business sector is to be constructed.

a. The t− or z−value to be used to construct this interval is

1. 1.703

2. 2.052

3. 1.960

4. 1.645

b. The margin of error is equal to

1. 0.66

2. 0.76

3. 0.63

4. 0.79

c. The confidence interval is

1. (5.54, 7.12)

2. (5.67, 6.99)

3. (5.57, 7.09)

4. (5.70, 6.96)

d. We can state with 95% confidence that

1. the mean amount of 28 venture capital investments in the fiber optics business sector lies in the interval constructed in part c

2. the mean amount of all venture capital investments in the fiber optics business sector lies in the interval constructed in part c

3. all amounts of venture capital investments in the fiber optics business sector lies in the interval constructed in part c

4. the mean amount of all venture capital investments in the fiber optics business sector lies outside the interval constructed in part c

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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