# Consider a set of N=30 random numbers generated by a (six-sided) die:

**INSTRUCTIONS TO CANDIDATES**
###### ANSWER ALL QUESTIONS

Exercise Statistical Testing

Consider a set of N=30 random numbers generated by a (six-sided) die:

2 3 3 4 4 3 3 3 3 5 3 1 6 3 3 4 6 1 1 2 5 6 6 3 1 6 3 2 3 3

1. Assuming an ideal die that generates scores of One, Two, Three, Four, Five and Six with equal probability 1/6, what is that ideal die's mean scoreμ?

2. What is the mean of the numbers in the set above? And what is the standard deviations of the numbers (using N-1 degrees of freedom); and from this, what is the standard error, SE(x), of the mean?

Now the central question of this exercise: Does differ significantly from the mean of the ideal die? Or in other words, is the difference significantly non-zero (this is the same as in the lecture except that here you are not interested in the difference between the means of two sets of numbers but in the difference between the mean of a set of numbers (x) and some constant number (u)). To answer this question, proceed as described in the lecture:

a. Define the null hypothesis and the alternative hypothesis (analogous to the lecture).

b. Calculate your t-statistic t, analogous to the lecture, from the quantities, μs and N. Here use that the standard deviation of is naturally zero (because it is a "natural" constant derived from probability theory), so the standard error SE() just equals SE() which you calculated above.

c. Calculate the null sampling distribution of your test-statistic, i.e. the distribution f(t) of t-values that you obtain given your null hypothesis is true. For this use the formula from the lecture

##### Attachments:

## Related Questions

##### . The fundamental operations of create, read, update, and delete (CRUD) in either Python or Java

CS 340 Milestone One Guidelines and Rubric
Overview: For this assignment, you will implement the fundamental operations of create, read, update,

##### . Develop a program to emulate a purchase transaction at a retail store. This program will have two classes, a LineItem class and a Transaction class

Retail Transaction Programming Project
Project Requirements:
Develop a program to emulate a purchase transaction at a retail store. This

##### . The following program contains five errors. Identify the errors and fix them

7COM1028
Secure Systems Programming
Referral Coursework: Secure

##### . Accepts the following from a user: Item Name Item Quantity Item Price Allows the user to create a file to store the sales receipt contents

Create a GUI program that:Accepts the following from a user:Item NameItem QuantityItem PriceAllows the user to create a file to store the sales receip

##### . The final project will encompass developing a web service using a software stack and implementing an industry-standard interface. Regardless of whether you choose to pursue application development goals as a pure developer or as a software engineer

CS 340 Final Project Guidelines and Rubric
Overview The final project will encompass developing a web service using a software stack and impleme