MATH 2311-06 Test 3 Review. A SRS of 81 observations produced a mean of 250 with a standard deviation of 22. Determine the 95% confidence interval for.

Slides:



Advertisements
Similar presentations
Topics
Advertisements

Chapter 10 Section 2 Hypothesis Tests for a Population Mean
Section 7.1 Hypothesis Testing: Hypothesis: Null Hypothesis (H 0 ): Alternative Hypothesis (H 1 ): a statistical analysis used to decide which of two competing.
Hypothesis Testing Steps of a Statistical Significance Test. 1. Assumptions Type of data, form of population, method of sampling, sample size.
Stat Day 16 Observations (Topic 16 and Topic 14)
Mean for sample of n=10 n = 10: t = 1.361df = 9Critical value = Conclusion: accept the null hypothesis; no difference between this sample.
AP Statistics Section 12.1 A. Now that we have looked at the principles of testing claims, we proceed to practice. We begin by dropping the unrealistic.
Chapter 9 Hypothesis Testing.
BCOR 1020 Business Statistics Lecture 20 – April 3, 2008.
Significance Tests for Proportions Presentation 9.2.
How tired are students in the morning ? Jose Almanza Period
4.1 Introducing Hypothesis Tests 4.2 Measuring significance with P-values Visit the Maths Study Centre 11am-5pm This presentation.
One Sample  M ean μ, Variance σ 2, Proportion π Two Samples  M eans, Variances, Proportions μ1 vs. μ2 σ12 vs. σ22 π1 vs. π Multiple.
Claims about a Population Mean when σ is Known Objective: test a claim.
1/2555 สมศักดิ์ ศิวดำรงพงศ์
The Probability of a Type II Error and the Power of the Test
Statistical Inference Decision Making (Hypothesis Testing) Decision Making (Hypothesis Testing) A formal method for decision making in the presence of.
The Practice of Statistics Third Edition Chapter 10: Estimating with Confidence Copyright © 2008 by W. H. Freeman & Company Daniel S. Yates.
Slide Slide 1 Section 8-3 Testing a Claim About a Proportion.
1 Hypothesis Testing Population Proportion (  ).
Large sample CI for μ Small sample CI for μ Large sample CI for p
Confidence Intervals. Examples: Confidence Intervals 1. Among various ethnic groups, the standard deviation of heights is known to be approximately.
Ch. 9 examples.
10.1: Confidence Intervals Falls under the topic of “Inference.” Inference means we are attempting to answer the question, “How good is our answer?” Mathematically:
Statistics 101 Chapter 10 Section 2. How to run a significance test Step 1: Identify the population of interest and the parameter you want to draw conclusions.
1 Objective Compare of two population variances using two samples from each population. Hypothesis Tests and Confidence Intervals of two variances use.
MeanVariance Sample Population Size n N IME 301. b = is a random value = is probability means For example: IME 301 Also: For example means Then from standard.
1 CHAPTER 4 CHAPTER 4 WHAT IS A CONFIDENCE INTERVAL? WHAT IS A CONFIDENCE INTERVAL? confidence interval A confidence interval estimates a population parameter.
Copyright © 2011 Pearson Education, Inc. Putting Statistics to Work.
1 Claims about two large means E.g., “South students have a higher average SAT score that Monmouth Regional Students” The two samples are independent.
Hypothesis Testing Errors. Hypothesis Testing Suppose we believe the average systolic blood pressure of healthy adults is normally distributed with mean.
Adriana Alejandre Diana Ruvalcaba Rosa Castro Period
Statistical Inference Drawing conclusions (“to infer”) about a population based upon data from a sample. Drawing conclusions (“to infer”) about a population.
Inference ConceptsSlide #1 1-sample Z-test H o :  =  o (where  o = specific value) Statistic: Test Statistic: Assume: –  is known – n is “large” (so.
1 Math 4030 – 10b Inferences Concerning Proportions.
On average how many phones have you had since your first phone? Jesus Guerrero Period
Tests of Significance: Stating Hypothesis; Testing Population Mean.
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. Suppose we believe the average systolic blood pressure of healthy adults is normally distributed with mean μ = 120 and variance σ.
THE MORE T-DISTRIBUTION & SIGNIFICANCE TESTING FOR QUANTITATIVE DATA CHAPTER 23.
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.
Tests of hypothesis Statistical hypothesis definition: A statistical hypothesis is an assertion or conjecture on or more population.
Testing Claims about a Population Mean Objective: test a claim.
Ex St 801 Statistical Methods Part 2 Inference about a Single Population Mean (HYP)
Chapter 10 Inference on Two Samples 10.3 Inference About Two Population Proportions.
Warm Up Check your understanding p. 563
Topics: Essentials Hypotheses Testing Examples
STAT 312 Chapter 7 - Statistical Intervals Based on a Single Sample
Chapters 20, 21 Hypothesis Testing-- Determining if a Result is Different from Expected.
Section 8.2 Day 4.
MATH 2311 Week 14 (Test 3 Review).
MATH 2311 Section 8.4.
MATH 2311 Section 8.2.
MATH 2311 Test 3 Review.
Topics: Essentials Hypotheses Testing Examples
MATH Test 3 Review.
Chapter Review Problems
Chapter 9: Hypothesis Testing
Section 12.2: Tests about a Population Proportion
Inference about Two Means: Independent Samples
Statistical Inference
Hypothesis Tests for Proportions
CHAPTER 12 Inference for Proportions
CHAPTER 12 Inference for Proportions
More on Testing 500 randomly selected U.S. adults were asked the question: “Would you be willing to pay much higher taxes in order to protect the environment?”
The POWER of a hypothesis test
MATH 2311 Test 3 Review Topics to know: 17 Multiple Choice Questions:
Section 8.4 Additional Popper 34: Choice A for #1 – 10
MATH 2311 Test 3 Review Topics to know: 17 Multiple Choice Questions:
MATH 2311 Section 8.4.
Presentation transcript:

MATH Test 3 Review

A SRS of 81 observations produced a mean of 250 with a standard deviation of 22. Determine the 95% confidence interval for the population mean.

A random sample of 64 observations produced a sample proportion of Determine the 95% confidence interval for the population proportion.

After performing a p-test, the P-Value is found to be smaller than the significance level. How should you proceed?

Which of the following will increase the width of the sample mean? Decrease the sample size Increase the confidence level Increase the sample size Decrease the confidence level Increase the value of the mean Decrease the value of the mean

The weights of pennies produced by the US Mint is determined to have a standard deviation of 0.02 grams. You wish to create a mean confidence interval of level 90%. How large of a sample of pennies should you select to have a margin of error of.02?

A one-sample z-statistic for a test of Ho: μ=53, and Ha: μ>53 based of 75 observations is z = Determine the p-value.

An assortment of candies claims that their sample bag contains the following: 15% Snickers, 35% Milky Way, 25% Three Musketeers, 15% Almond Joy and 10% Mounds. From a bag of 200 candies, you find there are 30 Snickers, 35 Milky Way, 40 Three Musketeers, 45 Almond Joy and 50 Mounds. What type of test should you run, and what is the test statistic?

Various studies state that, worldwide, 1% of persons suffer from Autism. You believe that this number should be higher. You take an SRS of 500 people and find that 8 people have Autism. Test your claim with 5% significance. Determine your Null and Alternate Hypothesis.

Various studies state that, worldwide, 1% of persons suffer from Autism. You believe that this number should be higher. You take an SRS of 500 people and find that 8 people have Autism. Test your claim with 5% significance. Determine your rejection region.

Various studies state that, worldwide, 1% of persons suffer from Autism. You believe that this number should be higher. You take an SRS of 500 people and find that 8 people have Autism. Test your claim with 5% significance. Calculate your test statistic.

Various studies state that, worldwide, 1% of persons suffer from Autism. You believe that this number should be higher. You take an SRS of 500 people and find that 8 people have Autism. Test your claim with 5% significance. Determine your p-value.

Various studies state that, worldwide, 1% of persons suffer from Autism. You believe that this number should be higher. You take an SRS of 500 people and find that 8 people have Autism. Test your claim with 5% significance. Draw a conclusion.

It is determined that the mean number of car accidents teenage drivers experience is 4. You collect data from 20 twenty-year olds and find their mean number of accidents was 6.3 with a standard deviation of 0.2. Test, with a significance of 5%, if there is doubt in the accepted mean. Determine your Null and Alternate Hypothesis.

It is determined that the mean number of car accidents teenage drivers experience is 4. You collect data from 20 twenty-year olds and find their mean number of accidents was 6.3 with a standard deviation of 0.2. Test, with a significance of 5%, if there is doubt in the accepted mean. Determine your rejection region.

It is determined that the mean number of car accidents teenage drivers experience is 4. You collect data from 20 twenty-year olds and find their mean number of accidents was 6.3 with a standard deviation of 0.2. Test, with a significance of 5%, if there is doubt in the accepted mean. Calculate your test statistic.

It is determined that the mean number of car accidents teenage drivers experience is 4. You collect data from 20 twenty-year olds and find their mean number of accidents was 6.3 with a standard deviation of 0.2. Test, with a significance of 5%, if there is doubt in the accepted mean. Determine your p-value.

It is determined that the mean number of car accidents teenage drivers experience is 4. You collect data from 20 twenty-year olds and find their mean number of accidents was 6.3 with a standard deviation of 0.2. Test, with a significance of 5%, if there is doubt in the accepted mean. Draw a conclusion.