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?