1. Data on investments in the high-tech industry by venture capitalists are compiled by VentureOne Cor- poration and published in America's Network Telecom Investor Supplement. A random sample of 18 venture-capital investments in the fiber optics business sector yielded the following data, in millions of dollars. The population standard deviation is 2.7 million dollars. The population distribution of venture- capital investments in this sector is normally distributed. 5.60 6.27 5.96 10.51 2.04 5.48 5.74 5.58 4.13 8.63 5.95 6.67 4.21 7.71 9.21 4.98 8.64 6.66 (a) Find the sample mean and sample size. Use correct notation & include units. Round to 4 decimal places for now. (b) A research team would like to find a 92% confidence interval for the population mean capital investment in the fiber optics sector. Determine which confidence interval method applies and check it satisfies all 3 conditions. (c) Find the margin of error. Round your answer to four decimal places for now. • Show your work by displaying the formulas you used with the numbers plugged in. • In addition, draw a fully labeled picture that represents the value of z. or te you used to find the margin of error and include the syntax you used to calculate that value of ze or te.

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