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.

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.

Question 6
Consider a t distribution with 26 degrees of freedom. Compute P (-1.2 < t < 1.2). Round your answer to at least three decimal places.
Consider a t distribution with 19 degrees of freedom. Find the value of c such that P (t <=c) = 0.05. Round your answer to at least three decimal places.
Below is a graph of a

Let Z be a standard normal random variable and let V have a chi-square distribution with n-degrees of freedom. Assume that Z and V are independent and let
T = Z / √ (V/n)
Find the density of T (The distribution of T is known as the t-distribution with n degrees of freedom.)

Here are tables of the Standard NormalandStudent's t distributions. The formulas for the first value in each P column are, respectively =NORMSDIST(A3) and =TDIST(C3,20,2), where column A is the one labeled "Z" and column C is labeled "t".
"t".
1. What is the meaning of the number given in the P column under NORMSDIST?
2)

A student's z-score on a organic chemistry midterm is 1.5. If the raw scores have a mean of 477 and standard deviation of 33 points, find the student's raw score to the nearest point.
527
448
749
510
Select the answer from above. Show working if possible. Need back in at most 30 minutes. Thanks

1) When comparing data from different distributions, what is the benefit of transforming data from these distributions to conform to the standard distribution?
2) What role do z-scores play in this transformation of data from multiple distributions to the standard normal distribution?
3) What is the relationship between

Kerri scores 677 on the SAT math test which has a mean of 500 and a standard deviation of 100. Kyle scores 28 on the ACT math test which has a mean of 18 and a standard deviation of 6. Assuming that both tests measure the same kind of ability, who has the higher score? If grading were done on a curve, what would their respective

Use the Standard Normal Distribution table to find the indicated area under the standard normal curve.
a. Between z = 0 and z = 2.36
b. To the left of z = -1.68
c. Between z = 0.64 and z = 1.52
d. To the right of z = 1.5

Standard normal probabilities
Let Z be a standard normal random variable. Calculate the following probabilities using the calculator provided. Round your responses to at least three decimal places.
P (z > - 0.82) =
P (z ≤ 0.77) =
P( -0.81 < z < 1.25) =

What are the characteristics of a standard normal distribution? Can two distributions with the same mean and different standard distributions be considered normal? How might you determine if a distribution is normal from its graphical representation?