# What is the mean number of rolls of a die before a 1 is observed

What is the mean number of rolls of a die before a 1 is observed ? Either as an individual or in a small group, roll a die until a 1 is observed. Repeat this process 30 times.

(a) Obtain a point estimate of the mean number of rolls of a die before a 1 is observed

(b) The population standard deviation for the number of rolls before a 1 is observed is square root of 30. Use this result to construct a 90 % Z-interval for the mean number of rolls required before a 1 is observed.

(c) 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 includes 6? How many did you expect to include 6 ?

(d) Construct a 90% T-interval for the mean number of rolls required before a 1 is observed.

(e) 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?

(f) Compare the Z-interval with the t-interval. Which has the smaller margin of error? Why?

### Sponsored

### Recently Posted

#### Analytical Hieracrchy Process (AHP) Analysis

I would like your help in building an AHP analy...#### Intermodal Logistics

xIntermodal Logistics QUESTION: What are some o...#### Intermodal Logistical Facilities

1) What is your opinion on EDLER’s ANSWER...

### Categories

- Anatomy
- Art
- Biology
- Business
- Chemistry
- Communications
- Criminal Justice
- Economics
- Education
- English
- Finance
- Gender Studies
- General
- General Questions
- Geography
- Geology
- Health Care
- History
- Languages
- Law
- Maths
- Philosophy
- Political Science
- Politics
- Psychology
- Religion
- Religious Studies
- Sociology
- Uncategorized