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

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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

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