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# (Solved): Data on investments in the high-tech industry by venture capitalists are compiled by a corporation. ...

Data on investments in the high-tech industry by venture capitalists are compiled by a corporation. A random sample of 18 venture-capital investments in a certain business sector yielded the accompanying data, in millions of dollars. Determine and interpret a $$95 \%$$ confidence interval for the mean amount, $$\mu$$, of all venture-capital investments in this business sector. Assume that the population standard deviation is $$\ 1.73$$ million. (Note: The sum of the data is $$\ 104.42$$ million.) Click here to view the investment data. Click here to view page 1 of the table of areas under the standard normal curve. Click here to view page 2 of the table of areas under the standard normal curve. The $$95 \%$$ confidence interval is from $$\$$ million to $$\$$ million. (Round to two decimal places as needed.) \begin{tabular}{llllll} \hline $$5.23$$ & $$5.51$$ & $$5.63$$ & $$8.94$$ & $$2.49$$ & $$5.46$$ \\ $$5.34$$ & $$4.69$$ & $$4.06$$ & $$7.95$$ & $$5.00$$ & $$6.43$$ \\ $$3.65$$ & $$7.24$$ & $$8.58$$ & $$4.58$$ & $$7.64$$ & $$6.00$$ \\ \hline \end{tabular}

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Given, n=18 ?=$1.73 ?Xi=$104.42 ?sample mean X?=?