In: Statistics and Probability
| Volume (in millions) |
| 2.37 |
| 2.42 |
| 3.25 |
| 3.94 |
| 4 |
| 4.02 |
| 4.13 |
| 4.16 |
| 4.28 |
| 4.35 |
| 4.41 |
| 4.42 |
| 4.64 |
| 4.8 |
| 4.84 |
| 4.92 |
| 4.95 |
| 4.97 |
| 4.98 |
| 5.04 |
| 5.05 |
| 5.07 |
| 5.32 |
| 5.55 |
| 6.1 |
| 6.16 |
| 6.22 |
| 6.23 |
| 6.39 |
| 6.67 |
| 6.69 |
| 6.71 |
| 6.92 |
| 6.96 |
| 7.28 |
| 7.29 |
| 7.54 |
| 7.56 |
| 7.71 |
| 8.88 |
The trade volume of a stock is the number of shares traded on a given day. The given data file contains the volume(in millions) of PepsiCo stock for a random sample of 40 trading days.
(1) Use the data to find a point estimate for the population mean of the trade volume of PepsiCo stock.
(2) Construct a 95% confidence interval for the population mean of the trade volume of PepsiCo stock.
(3) Interpret the 95% confidence interval you found in (2)
(4) Construct a 90% confidence interval for the population mean of the trade volume of PepsiCo stock.
(5) Interpret the 90% confidence interval you found in (4)
(6) (Bonus) In general, which interval is wider, 90% or 95%? Why?