What is the mean number of rolls of a die before a 1 is observed?
1- Obtain a point estimate of the mean number of rolls of a die before a 1 is observed.
2- The population standard deviation for the number of rolls before a 1 is observed. Use this result to construct a 90% Z-interval for the mean number of rolls required before a 1 is observed.
3- The population mean number of rolls before a 1 is observed is 6. Does your interval include 6? What proportion of the Z-intervals in the class included 6? How many did you expect to include 6?
4- Construct a 90% t-interval for the mean number of rolls required before a 1 is observed.
5- The population mean number of rolls before a 1 is observed is 6. Does your interval include 6? What proportion of the t-intervals in the class includes 6? How many did you expect to include 6?
6- Compare the Z-interval with the t-interval. Which has the smaller margin of error? Why?