What is the mean number of rolls of a die before a 1 is observed? Roll a die until a 1 is observed. Repeat this process 30 times and answer the following questions.

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?

6. What proportion of the t-intervals in the class includes 6? How many did you expect to include 6?

7. Compare the Z-interval with the t-interval. Which has the smaller margin of error?

Solution Summary

An experiment of rolling a dice a number of times to test a particular number (say 1) to appear on top.

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