# Student's t and Standard Normal Comparison

1. Chapter 8:

(a) Chapter Review question # 10 (0.5 point)

List differences and similarities between the Student's t and the standard normal distribution and carefully show all steps in your response.

(b) Chapter Review question # 11 (0.5 point)

By means of an example, show that for a given confidence level; the Student's t confidence interval for the mean is wider than if we use a z-value. Does it make any difference in a large sample whether we use Student's t or z? Carefully show all steps in your response.

https://brainmass.com/statistics/normal-distribution/normal-distribution-234203

#### Solution Preview

Instruction: Please provide complete answers to the following assignments. For full credit, all Work Must Be Shown. Please submit as attachment to your individual forum under appropriate thread by midnight, (MST), Monday, Day (7) of Week Five.

1. Chapter 8:

(a) Chapter Review question # 10 (0.5 point)

List differences and similarities between the Student's t and the standard normal distribution and carefully show all steps in your response.

(b) Chapter Review question # 11 (0.5 point)

By means of an example, show that for a given confidence level; the Student's t confidence interval for the mean is wider than if we use a z-value. Does it make any difference in a large sample whether we use Student's t or z? Carefully show ...

#### Solution Summary

The differences and similarities between the student's t and the standard normal distribution are analyzed. The confidence interval for the mean is determined.