The price per share of stock for a sample of 25 companies was recorded at the beginning of 2012 and then again at the end of the 1st quarter of 2012. How stocks perform during the 1st quarter is an indicator of what is ahead for the stock market and the economy. The sample data are provided in the Excel Online file below. Construct a spreadsheet End of 1st Quarter Beginning of Year
25.13 17.01 40.11 35.46 54.80 44.38 59.92 59.43 67.26 62.68 109.48 103.04 32.71 22.61 13.85 7.91 45.91 38.52 21.77 16.21 33.83 28.64 24.05 15.78 52.41 40.34 48.58 31.95 69.81 65.61 40.63 37.22 73.62 60.60 41.77 40.06 33.96 24.36 75.41 68.07 70.66 53.30 89.13 83.36 25.55 19.84 30.56 24.48 108.41 105.00
A. Let denote the change in price per share for company i where 1st quarter of 2012 price per share minus the beginning of 2012 price per share. Use the sample mean of these values to estimate the dollar amount a share of stock has changed during the 1st quarter.
B. What is the 95% confidence interval estimate of the population mean change in the price per share of stock during the first quarter?