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 (The Wall Street Journal, April 2, 2012). How stocks perform during the 1st quarter is an indicator of what is ahead for the stock market and the economy. Use the sample data in the file entitled Stock Prices to answer the following.
a. Let d denote the change in price per share for the company i where di=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 as 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? Interpret this result.
Company | End of 1st Quarter | Beginning of Year |
Bank of New York | 24.13 | 68.17 |
Kraft Foods | 38.01 | 37.36 |
Dupont | 52.90 | 45.78 |
Consolidated Edison | 58.42 | 62.03 |
Johnson & Johnson | 65.96 | 65.58 |
Union Pacific | 107.48 | 105.94 |
Comcast | 30.01 | 23.71 |
Applied Materials | 12.45 | 10.71 |
Pfiser | 43.41 | 41.22 |
General Electric | 20.07 | 17.91 |
AT&T | 31.23 | 30.24 |
Cisco Systems | 21.15 | 18.08 |
Home Depot | 50.31 | 42.04 |
JP Morgan Chase | 45.98 | 33.25 |
Procter & Gamble | 67.21 | 66.71 |
Verizon | 38.23 | 40.12 |
Devon Energy | 71.12 | 62.00 |
Lilly | 40.27 | 41.56 |
Microsoft | 32.26 | 25.96 |
Coco Cola | 74.01 | 69.97 |
Qualcomm | 68.06 | 54.70 |
Exxon Mobil | 86.73 | 84.76 |
Pacific Gas & Electric | 22.65 | 21.64 |
Oracle Systems | 29.16 | 25.58 |
Chevron | 107.21 | 106.40 |
a) sample mean
b)
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