Question: Suppose that the null hypothesis in (11.6.5) is true. Prove that S2Tot/2 has the 2 distribution with n 1 degrees of freedom.

Suppose that the null hypothesis in (11.6.5) is true. Prove that S2Tot/σ2 has the χ2 distribution with n − 1 degrees of freedom.

Step by Step Solution

★★★★★

3.37 Rating (163 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

We know that S 2 Tot S 2 Betw S 2 Resid We also know that S 2 Betw 2 and S 2 ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Document Format (1 attachment)

Word file Icon

602-M-S-N-S (2240).docx

120 KBs Word File

Students Have Also Explored These Related Statistics Questions!

Q:

The calculated value of the test statistic is actually the number of standard errors that the sample mean differs from the hypothesized value of in the null hypothesis. Suppose that the null...

Q:

Let p equal the proportion of yellow candies in a package of mixed colors. It is claimed that p = 0.20. (a) Define a test statistic and critical region with a significance level of α =...

Q:

Suppose again, as in Exercise 9, that a random sample of 10 observations is taken from the normal distribution with unknown mean and unknown variance 2, but suppose now that the following hypotheses...

Q:

10/29/2015 Week 6 Assignment YINWEI LIU CED 6030, section 02, Fall 2015 Instructor: He Wang WebAssign Week 6 Assignment (Homework) Current Score : - / 114 Due : Wednesday, November 4 2015 11:59 PM...

Q:

The best definition for nonparametric statistics I can think of is when data does not fit inside the normal parameters of a normal distribution, it calls for the use of this statistical method....

Q:

In a certain town 60% of the households own mutual funds, 40% own individual stocks, and 20% own both mutual funds and individual stocks. 1. The proportion of households that own mutual funds but not...

Q:

In a certain town 60% of the households own mutual funds, 40% own individual stocks, and 20% own both mutual funds and individual stocks. 1. The proportion of households that own mutual funds but not...

Q:

CHAPTER 9 Hypothesis Tests CONTENTS 9.4 POPULATION MEAN: UNKNOWN One-Tailed Test Two-Tailed Test Summary and Practical Advice 9.5 POPULATION PROPORTION Summary 9.6 HYPOTHESIS TESTING AND DECISION...

Q:

STAT 200: Introduction to Statistics Final Examination, Spring 2017 OL4/US2 Page 1 of 8 STAT 200 OL4 / US2 Sections Final Exam Spring 2017 The final exam will be posted at 12:01 am on May 5, and it...

Q:

Do male and female skiers differ in their tendency to use a ski helmet? Ruzic and Tudor (2011) report a study in which 710 skiers completed a survey about aspects of their skiing habits. Suppose the...

Q:

The Bulldog Company incurred the following quality-related costs: 2016 2017 Calibration $190,000 $120,000 Product design 180,000 210,000 Product liability 150,000 90,000 Product recalls 480,000...

Q:

Find the work done in pushing a car a distance of 8 m while 9, exerting a constant force of 900 N.

Q:

Using MOCUS algorithm obtain all cut sets and minimal cut set for the Fault tree shown in the figure below. Show Boolean expressions being used.

Q:

What are the advantages and disadvantages of using labor utilization as a performance measure? Do these same arguments apply to machine utilization?

Q:

A random sample of n = 25 observations from a normal population produced a sample variance equal to 21.4. Do these data provide sufficient evidence to indicate that 2 > 15? Test using = .05.

Q:

The following n = 10 observations are a sample from a normal population: a. Find the mean and standard deviation of these data. b. Find a 99% upper one-sided confidence bound for the population mean...

Q:

A random sample of n = 15 observations was selected from a normal population. The sample mean and variance were = 3.91 and s2 = .3214. Find a 90% confidence interval for the population variance 2.

Q:

USE THE FOLLOWING INFORMATION TO CONSTRUCT A BALANCE SHEET TO ANSWER QUESTIONS 28 through 30 $ 2,000,000 4% Sales Gross profit margin Inventory turnover ratio (Cost of goods sold/Inventory) Net...

Q:

Bond valuation The process of bond valuation is based on the fundamental concept that the current price of a security can be determined by calculating the present value of the cash flows that the...

Q:

Google blackboard Cheapoair - S.,heap Tickets Parkland Heat. pital System Apple Sign in to your account Oracle PeopleSoft Sign in Connect Menu high school = McGinw-Hill Campus - 2021SP-MATH...