MATH 2311 Week 14 (Test 3 Review).

Slides:



Advertisements
Similar presentations
Topics
Advertisements

In this chapter we introduce the idea of hypothesis testing in general, and then we look at the specifics for a hypothesis test for a single population.
Topic 6: Introduction to Hypothesis Testing
HYPOTHESIS TESTING Four Steps Statistical Significance Outcomes Sampling Distributions.
Section 7.1 Hypothesis Testing: Hypothesis: Null Hypothesis (H 0 ): Alternative Hypothesis (H 1 ): a statistical analysis used to decide which of two competing.
Fundamentals of Hypothesis Testing. Identify the Population Assume the population mean TV sets is 3. (Null Hypothesis) REJECT Compute the Sample Mean.
Significance Tests for Proportions Presentation 9.2.
1/2555 สมศักดิ์ ศิวดำรงพงศ์
1 BA 275 Quantitative Business Methods Hypothesis Testing Elements of a Test Concept behind a Test Examples Agenda.
The Probability of a Type II Error and the Power of the Test
Section 9.2 Testing the Mean  9.2 / 1. Testing the Mean  When  is Known Let x be the appropriate random variable. Obtain a simple random sample (of.
What do Centurions think about our school spirit? Diana Tapia Period
Statistical Methods 5.
Topic 7 - Hypothesis tests based on a single sample Sampling distribution of the sample mean - pages Basics of hypothesis testing -
1 BA 275 Quantitative Business Methods Confidence Interval Estimation Estimating the Population Proportion Hypothesis Testing Elements of a Test Concept.
Testing of Hypothesis Fundamentals of Hypothesis.
Large sample CI for μ Small sample CI for μ Large sample CI for p
Lecture 16 Section 8.1 Objectives: Testing Statistical Hypotheses − Stating hypotheses statements − Type I and II errors − Conducting a hypothesis test.
Introduction to Inferece BPS chapter 14 © 2010 W.H. Freeman and Company.
What Is The Average Hours You Spend On Your Phone Daily? Cristian Barrios Jacky Cortez Maria Canongo Period 2 Year ( )
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.
Ex St 801 Statistical Methods Inference about a Single Population Mean.
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.
Adriana Alejandre Diana Ruvalcaba Rosa Castro Period
What is a Hypothesis? A hypothesis is a claim (assumption) about the population parameter Examples of parameters are population mean or proportion The.
Mariana Lopez Carlos Aguilar Alex Rodriguez Period Commute time for senior student’s high school experience.
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.
C HAPTER 2  Hypothesis Testing -Test for one means - Test for two means -Test for one and two proportions.
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.
MATH Section 7.2.
Chapter Nine Hypothesis Testing.
More on Inference.
HOW Many fights have you been in since you been here at century
Warm Up Check your understanding p. 563
Hypothesis Testing for Means (Small Samples)
Significance Test for the Difference of Two Proportions
One-Sample Inference for Proportions
Chapters 20, 21 Hypothesis Testing-- Determining if a Result is Different from Expected.
Section 8.2 Day 4.
Hypothesis Tests for 1-Sample Proportion
AP STATISTICS REVIEW INFERENCE
MATH 2311 Section 8.2.
MATH 2311 Test 3 Review.
MATH Test 3 Review.
A 95% confidence interval for the mean, μ, of a population is (13, 20)
More on Inference.
Chapter Review Problems
Chapter 9: Hypothesis Testing
Problems: Q&A chapter 6, problems Chapter 6:
Chapter Nine Part 1 (Sections 9.1 & 9.2) Hypothesis Testing
Statistical Inference
Daniela Stan Raicu School of CTI, DePaul University
Mixed Examples of Hypothesis Testing & Confidence Intervals
Daniela Stan Raicu School of CTI, DePaul University
Statistical Inference for Managers
WARM - UP Is the coin Fair?
Inference Confidence Interval for p.
CHAPTER 12 Inference for Proportions
CHAPTER 12 Inference for Proportions
Chapter 11: Testing a Claim
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?”
Section 8.1 Additional Popper #34: Choice A for #1 – 10
The POWER of a hypothesis test
Warm Up Consumers of diet food products are concerned about the number of calories in each meal. A manufacturer advertises the number of calories in a.
Inference as Decision Section 10.4.
MATH 2311 Test 3 Review Topics to know: 17 Multiple Choice Questions:
Introduction to Inference
Section 8.4 Additional Popper 34: Choice A for #1 – 10
MATH 2311 Test 3 Review Topics to know: 17 Multiple Choice Questions:
Presentation transcript:

MATH 2311 Week 14 (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 0 A random sample of 64 observations produced a sample proportion of 0.23. 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 0.2 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 = 1.837. 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.

A simple random sample of 10 students was selected to determine their commuting distance. The results are as follows: 35 23 12 25 30 19 22 31 27 24 Determine the 95% confidence interval for the true population mean.

A simple random sample of 1000 students was selected to determine if they worked full-time while attending college full-time. Of the 1000 students 722 reported working full time. Determine the 90% confidence interval for the population proportion.

If the p-value in is larger than the confidence level, the researcher should (a) Accept the Ho, (b) Reject the Ho, (c) Fail to Reject the Ho, (d) Accept the Ha

You have created a confidence interval You have created a confidence interval. When repeating the study, the width of the confidence interval has decreased. Which of the following may be also true: The confidence level has decreased. The sample size has decreased. The sample parameter has increased The margin of error has decreased. The standard deviation or standard error has increased.

A population has a standard deviation of 0. 03 A population has a standard deviation of 0.03. You are selecting a sample to find the population mean with a confidence level of 95%. How large of a population should you select if you want a margin of error less than 0.004?

You run an experiment to test where Ho: 𝑝 = 0. 34 and Ha: 𝑝 ≠. 34 You run an experiment to test where Ho: 𝑝 = 0.34 and Ha: 𝑝 ≠ .34. The value of your test statistic is z = 1.54. Determine the p-value.

A cereal company claims that their marshmallow cereal contains the following shapes: An actual box of cereal contained the following pieces: Determine the test type and the test statistic for this example.

A prep school claims that 85% of their graduates are accepted to Ivy League schools. You believe that the proportion is less than that. To investigate, you find an SRS of 350 of their graduates and discover that 265 of them were accepted into Ivy League schools. We will test the claim at a 2% significance level. State the null and alternate hypothesis:

A prep school claims that 85% of their graduates are accepted to Ivy League schools. You believe that the proportion is less than that. To investigate, you find an SRS of 350 of their graduates and discover that 265 of them were accepted into Ivy League schools. We will test the claim at a 2% significance level. Sketch and state the rejection region.

A prep school claims that 85% of their graduates are accepted to Ivy League schools. You believe that the proportion is less than that. To investigate, you find an SRS of 350 of their graduates and discover that 265 of them were accepted into Ivy League schools. We will test the claim at a 2% significance level. Calculate the test statistic.

A prep school claims that 85% of their graduates are accepted to Ivy League schools. You believe that the proportion is less than that. To investigate, you find an SRS of 350 of their graduates and discover that 265 of them were accepted into Ivy League schools. We will test the claim at a 2% significance level. Determine the p-value for your test.

A prep school claims that 85% of their graduates are accepted to Ivy League schools. You believe that the proportion is less than that. To investigate, you find an SRS of 350 of their graduates and discover that 265 of them were accepted into Ivy League schools. We will test the claim at a 2% significance level. State your conclusion.

A study shows that a family of four, on average, spends $255 per week on groceries. You believe that this amount is incorrect. To test your hypothesis, you select 35 local families of four and calculate their average grocery budget to be $295 with a standard deviation of $12.3 Test this claim using a significance level of 5%. State your null and alternate hypothesis

A study shows that a family of four, on average, spends $255 per week on groceries. You believe that this amount is incorrect. To test your hypothesis, you select 35 local families of four and calculate their average grocery budget to be $295 with a standard deviation of $12.3 Test this claim using a significance level of 5%. Sketch and state the rejection region.

A study shows that a family of four, on average, spends $255 per week on groceries. You believe that this amount is incorrect. To test your hypothesis, you select 35 local families of four and calculate their average grocery budget to be $295 with a standard deviation of $12.3 Test this claim using a significance level of 5%. Calculate your test statistic.

A study shows that a family of four, on average, spends $255 per week on groceries. You believe that this amount is incorrect. To test your hypothesis, you select 35 local families of four and calculate their average grocery budget to be $295 with a standard deviation of $12.3 Test this claim using a significance level of 5%. Calculate your p-value.

A study shows that a family of four, on average, spends $255 per week on groceries. You believe that this amount is incorrect. To test your hypothesis, you select 35 local families of four and calculate their average grocery budget to be $295 with a standard deviation of $12.3 Test this claim using a significance level of 5%. Draw your conclusion.

Popper 12: Answer Choice A for Questions 1 – 10.