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Arandom sample of 10 venture-capital investments in the Sber opios business sect

ID: 3067145 • Letter: A

Question

Arandom sample of 10 venture-capital investments in the Sber opios business sector yielded the following data, in milions of dolars. Assume that the population standard deviation is $2.54 milion. Complete parts (a) through (d) below. (Note: The sum of the data is $55.37 million.) 6.02 a. Find 8 99% confidence interval for the mean amounL ? of all venture-captal investments in the fiber optics business sector. The confidence iterval for ? isfrom $1 Imalion to $.mlion 3.41 5.12 8.89 6.81 2.18 6.16 6.96 5.37 4.45 (Round to two decimal places as needed.) b.. The 95% oorfidence interval is born $3 96 milion to $7 11 milion. Why is tho oofdence interval in part(a) longer han this confidence interval? Compared to thne 96% confidence interval, the value of | Zu/ 2 | ?S | | in the 90% oontdence interval. 6. Draw a graph to display both confidence intervals O B. ??.

Explanation / Answer

Solution:

10 venture-capital investments in the fiber optics business sector
Mean = 5.54 , standard deviation = 1.91
a) 99% confidence interval
ME = Z(?/?n) = 2.57 (1.91/sqrt(10)) = 1.5523
CI: 5.54-ME < ? < 5.54 + ME
3.9877 < ? < 7.0923
.....
b) 95% confidence interval ...
ME = 1.96 (1.91/sqrt(10)) = 1.1838
CI: 5.54-ME < ? < 5.54 + ME
4.3562 < ? < 6.7238

c) option A

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