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?