Hypothesis Testing for Standard Deviation or Variance.

Slides:

Advertisements

Similar presentations

Significance Testing.  A statistical method that uses sample data to evaluate a hypothesis about a population  1. State a hypothesis  2. Use the hypothesis.

Advertisements

Chapter 10 Statistical Inference About Means and Proportions With Two Populations Estimation of the Difference between the Means of Two Populations:

Chapter 10 Inference on Two Samples 10.4 Inference on Two Population Standard Deviations.

Ch. 8 Whiteboard Review Hypothesis Testing Problems taken from P. 452.

Estimating the Population Mean Assumptions 1.The sample is a simple random sample 2.The value of the population standard deviation (σ) is known 3.Either.

Mean for sample of n=10 n = 10: t = 1.361df = 9Critical value = Conclusion: accept the null hypothesis; no difference between this sample.

Chapter 9 Hypothesis Testing 9.4 Testing a Hypothesis about a Population Proportion.

8-4 Testing a Claim About a Mean

Testing the Difference Between Means (Small Independent Samples)

Basics of z Scores, Percentiles, Quartiles, and Boxplots 3-4 Measures of Relative Standing.

8-5 Testing a Claim About a Standard Deviation or Variance This section introduces methods for testing a claim made about a population standard deviation.

Text Exercise 1.30 (a) (b) (c) First, make a sketch representing this probability; then find the probability. 16 – 11 z = ——— =

Comparing Means.  Comparing two means is not very different from comparing two proportions.  This time the parameter of interest is the difference between.

Mean, Variance, and Standard Deviation for Grouped Data Section 3.3.

Claims about a Population Mean when σ is Known Objective: test a claim.

Section 10.1 ~ t Distribution for Inferences about a Mean Introduction to Probability and Statistics Ms. Young.

Inference about Two Population Standard Deviations.

Created by Erin Hodgess, Houston, Texas Section 7-5 Testing a Claim About a Mean:  Not Known.

Copyright © 2010, 2007, 2004 Pearson Education, Inc Lecture Slides Elementary Statistics Eleventh Edition and the Triola Statistics Series by.

The Probability of a Type II Error and the Power of the Test

Unit 8 Section : z Test for a Mean  Many hypotheses are tested using the generalized statistical formula: Test value = (Observed Value)-(expected.

1 Section 8.5 Testing a claim about a mean (σ unknown) Objective For a population with mean µ (with σ unknown), use a sample to test a claim about the.

Hypothesis Testing for Variance and Standard Deviation

Copyright ©2006 Brooks/Cole, a division of Thomson Learning, Inc. Turning Data Into Information Chapter 2.

Hypothesis Testing with One Sample Chapter 7. § 7.2 Hypothesis Testing for the Mean (Large Samples)

Slide Slide 1 Section 8-6 Testing a Claim About a Standard Deviation or Variance.

Confidence Intervals and Tests of Proportions. Assumptions for inference when using sample proportions: We will develop a short list of assumptions for.

Statistics 300: Elementary Statistics Section 6-5.

Section 8-5 Testing a Claim about a Mean: σ Not Known.

1 Objective Compare of two population variances using two samples from each population. Hypothesis Tests and Confidence Intervals of two variances use.

Slide Slide 1 Section 8-4 Testing a Claim About a Mean:  Known.

Section 7-3 Estimating a Population Mean: σ Known.

Example Suppose we want to prove that the mean commute time for people in Lexington to get to work is less than 20 minutes. A random sample of 125 people.

Hypothesis Testing with TWO Samples. Section 8.1.

Section 2.4: Measures of Spread. Example: Using the number of days of vacation for 6 students, find the range, variance and standard deviation. (this.

§2.The hypothesis testing of one normal population.

Section 8-6 Testing a Claim about a Standard Deviation or Variance.

Hypothesis Testing for the Mean:

In an analysis investigation the usefulness of pennies, the cents portions of 100 randomly selected credit card charges are recorded. The sample.

Hypothesis Tests for a Population Standard Deviation.

Copyright © 2010, 2007, 2004 Pearson Education, Inc Lecture Slides Elementary Statistics Eleventh Edition and the Triola Statistics Series by.

AP Statistics Chapter 24 Notes “Comparing Two Sample Means”

Hypothesis Testing with TWO Samples. Section 8.1.

Analysis of Variance ANOVA - method used to test the equality of three or more population means Null Hypothesis - H 0 : μ 1 = μ 2 = μ 3 = μ k Alternative.

1 Section 8.4 Testing a claim about a mean (σ known) Objective For a population with mean µ (with σ known), use a sample (with a sample mean) to test a.

Sampling Distributions Chapter 9 Central Limit Theorem.

Chapter Measures of Variation 3.3 Measures of Variation Bank waiting times In the first bank, the manager carefully controls waiting times by changing.

Ch5.4 Central Limit Theorem

Unit 8 Section 7.5.

Inferences About Two Means: Independent Samples

Measures of Central Tendency

Monthly utility bills factor into local cost of living measures

Testing a Claim About a Mean:  Not Known

Chapter 8 Hypothesis Testing with Two Samples.

Chapter 9 Hypothesis Testing

Chapter 9 Hypothesis Testing

Chapter 8 Lecture 4 Section: 8.6.

Empirical Rule MM3D3.

Sampling Distributions

Chapter 9 Hypothesis Testing

Elementary Statistics: Picturing The World

Hypothesis Tests for a Standard Deviation

Essential Statistics Two-Sample Problems - Two-sample t procedures -

Testing and Estimating a Single Variance or Standard Deviation

Determining Which Method to use

Sampling Distributions

Hypothesis Testing for Proportions

Testing a Claim About a Standard Deviation or Variance

Section 9.2: Sample Proportions

Sampling Distributions Key to Statistical Inference

Presentation transcript:

Hypothesis Testing for Standard Deviation or Variance

Testing a Claim about a Standard Deviation or Variance

A simple random sample of 30 men results in a standard deviation of 11.3 beats per minute. The normal range of pulse rates of adults is typically given as 60 to 100 beats per minute. If the range rule of thumb is applied to that normal range, the result is a standard deviation of 10 beats per minute. Use the sample results with a 0.05 significance level to test the claim that pulse rates of men have a standard deviation greater than 10 beats per minute.

Listed below are the playing times of songs that were popular at the time of this writing. Use a 0.05 significance level to test the claim that the songs are from a population with standard deviation less than one minute