Which gender has a faster reaction time?

Slides:

Advertisements

Similar presentations

Small differences. Two Proportion z-Interval and z-Tests.

Advertisements

Four girls soccer teams took a random sample of players regarding the number of goals scored per game. The results are below. Use a significance level.

Comparing Two Population Means The Two-Sample T-Test and T-Interval.

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

Chapter Goals After completing this chapter, you should be able to:

Independent Sample T-test Often used with experimental designs N subjects are randomly assigned to two groups (Control * Treatment). After treatment, the.

Find the mean number of points for the basketball team and the standard deviation. PlayerPointsSt. Dev. John51 Tim82 Ed124.

The table shows a random sample of 100 hikers and the area of hiking preferred. Are hiking area preference and gender independent? Hiking Preference Area.

Chapter 9 Section 2 Testing the Difference Between Two Means: t Test 1.

Statistics for the Behavioral Sciences Second Edition Chapter 11: The Independent-Samples t Test iClicker Questions Copyright © 2012 by Worth Publishers.

Pengujian Hipotesis Dua Populasi By. Nurvita Arumsari, Ssi, MSi.

Copyright © 1998, Triola, Elementary Statistics Addison Wesley Longman 1 Testing a Claim about a Standard Deviation or Variance Section 7-6 M A R I O F.

A Course In Business Statistics 4th © 2006 Prentice-Hall, Inc. Chap 9-1 A Course In Business Statistics 4 th Edition Chapter 9 Estimation and Hypothesis.

The table shows a random sample of 100 hikers and the area of hiking preferred. Are hiking area preference and gender independent? Hiking Preference Area.

Suppose we have a population of adult men with a mean height of 71 inches and standard deviation of 2.6 inches. We also have a population of adult women.

Chi square and Hardy-Weinberg

Independent Samples: Comparing Means Lecture 39 Section 11.4 Fri, Apr 1, 2005.

Christopher, Anna, and Casey

Hypothesis Testing – Two Means(Small, Independent Samples)

Statistical Inferences for Population Variances

Two-Sample Inference Procedures with Means

Hypothesis Testing with Two Samples

Section 9.4 Day 3.

Chapter 12 Chi-Square Tests and Nonparametric Tests

Stat 251 (2009, Summer) Final Lab TA: Yu, Chi Wai.

Unit 8 Section 7.5.

Testing the Difference Between Two Means

Inference about Two Means - Independent Samples

AP Statistics Chapter 24 Comparing Means.

One-Sample Inference for Proportions

Chapter 9 Testing the Difference Between Two Means, Two Proportions, and Two Variances.

STAT 312 Chapter 7 - Statistical Intervals Based on a Single Sample

Lecture Slides Essentials of Statistics 5th Edition

Lecture Slides Elementary Statistics Twelfth Edition

Chapter 8 Hypothesis Testing with Two Samples.

Hypothesis Testing: Two Sample Test for Means and Proportions

Ch. 10 Comparing Two Populations or Groups

Two-Sample Inference Procedures with Means

Two-Sample Inference Procedures with Means

Two-Sample Inference Procedures with Means

Lesson Comparing Two Means.

Inference about Two Means: Independent Samples

Section 9.5 Day 2.

Two Sample T-Tests AP Statistics.

Independent Samples: Comparing Means

CHAPTER 10 Comparing Two Populations or Groups

STAT Z-Tests and Confidence Intervals for a

CHAPTER 10 Comparing Two Populations or Groups

CHAPTER 6 Statistical Inference & Hypothesis Testing

CHAPTER 6 Statistical Inference & Hypothesis Testing

10-2 Comparing Means 3/28/2018.

WARM - UP The following represents snowfall amounts for 8 random winters in Detroit. 78” 130” 140” 120” 108” 120” 156” 101” 1. Fill in all four.

Two-Sample Hypothesis Test with Means

Elementary Statistics: Picturing The World

STA 291 Spring 2008 Lecture 18 Dustin Lueker.

CHAPTER 10 Comparing Two Populations or Groups

Two-Sample Inference Procedures with Means

Two-Sample Inference Procedures with Means

Testing and Estimating a Single Variance or Standard Deviation

CHAPTER 10 Comparing Two Populations or Groups

Lecture Slides Elementary Statistics Twelfth Edition

CHAPTER 10 Comparing Two Populations or Groups

Two-Sample Inference Procedures with Means

Two-Sample Inference Procedures with Means

Section 10.2 Comparing Two Means.

CHAPTER 10 Comparing Two Populations or Groups

How Confident Are You?.

Chapter 9 Lecture 3 Section: 9.3.

Presentation transcript:

Which gender has a faster reaction time? By: XXXXXXXXXXxxxxxx XXXXXXXXXXXxxxxxxxx

Hypothesis: Ho: μ1 = μ2 Ha: μ1 < μ2 μ1 = The average reaction time of all males who participated in the test μ2 = The average reaction time of all females who participated in the test

Procedure: Have equal number of boys and girls. Have one student’s hand hover over one cm and we drop the yardstick Student must catch it with their whole hand and we will record the distance from 0 cm to the top of their hand Use the formula and figure out the time it took Repeat steps 1-3, 3 times per student Find the average time and record it Take the average time and use the formula T = Square Root (2D/9.81) to find the average time. T = time in seconds D = distance in m

Conditions: Normal: We’re assuming this distribution is normal. Independent: We’re assuming this is independent. Random: The males/females were randomly assigned.

Data (in cm) Trial # 1 2 3 Average Trail # Boy #1 7.8 23.9 17.9 16.533 Girl #1 23.0 31.7 28.0 27.567 Boy #2 17.0 20.5 14.6 17.367 Girl #2 20.2 21.9 25.7 23 Boy #3 7.1 6.9 5.4 6.467 Girl #3 21.8 26.9 23.533 Boy #4 17.6 14.8 17.8 16.733 Girl #4 26.3 26.4 24.0 25.567 Boy #5 31.3 18.7 25.633 Girl #5 23.5 37.7 29.7 30.3 Boy #6 20.1 20.9 23.767 Girl #6 8.0 15.267 Boy #7 16.6 12.9 Girl #7 25.5 35.1 43.9 34.833 Boy #8 23.4 26.0 14.4 21.267 Girl #8 10.3 27.2 14.5 17.333 Boy #9 19.8 10.9 22.4 17.7 Girl #9 15.4 13.2 18.0 15.53 Boy #10 18.2 22.3 13.9 18.133 Girl #10 16.5 23.3 19.2

Data (in cm) Trial # 1 2 3 Average Trail # Boy #11 29.7 14.3 15.1 19.7 Girl #11 20.5 13.3 11.1 14.967 Boy #12 13.6 11.7 17.2 14.167 Girl #12 14.6 14.9 12.5 14.0 Boy #13 16.9 14.4 16.067 Girl #13 31.3 19.9 14.5 21.9 Boy #14 13.8 13.1 13.5 Girl #14 13.7 6.4 21.0 Boy #15 10.0 8.5 9.0 9.167 Girl #15 11.5 6.2 19.3 23.33 Boy #16 17.9 18.9 16.867 Girl #16 20.3 17.7 20.4 19.467 Boy #17 31.9 24.3 13.9 23.367 Girl #17 16.3 38.7 23.1 Boy #18 7.2 4.3 8.0 Girl #18 27.1 26.6 21.7 25.133 Boy #19 11.2 12.167 Girl #19 28.1 18.0 30.9 25.667 Boy #20 23.7 21.6 9.9 18.4 Girl #20 36.4 24.9 23..4 28.23

Data (in cm) Trial # 1 2 3 Average Trail # Boy #21 17.6 19.9 22.0 19.833 Girl #21 17.2 12.1 21.8 17.033 Boy #22 24.9 26.1 25.3 Girl #22 17.5 26.5 19.7 21.233 Boy #23 27.0 18.6 14.2 19.93 Girl #23 20.2 17.7 17.9 Boy #24 22.5 13.6 20.733 Girl #24 37.3 24.7 23.1 28.367 Boy #25 20.9 19.8 13.9 18.2 Girl #25 15.9 16.9 19.0 17.267 Boy #26 12.7 16.0 Girl #26 15.2 14.8 9.4 13.133 Boy #27 36.4 24.6 25.8 28.93 Girl #27 34.8 17.4 23.0 25.067 Boy #28 7.4 24.1 17.133 Girl #28 12.0 17.667 Boy #29 27.6 30.9 34.5 31.0 Girl #29 27.1 25.767 Boy #30 20.6 22.7 18.3 20.533 Girl #30 25.1 35.6 3.6 21.433

Test: 2-SampT Test List 1: L1 (Average for each male) List 2: L2 (Average for each female) Freq 1: 1 Freq 2: 1 μ1: < μ2 Pooled: No t= -1.8266 p= .03616 df= 65.568 x̅1: .1938 x̅2: .2075 Sx 1: .03299 Sx 2: .02959 n1: 34 n2: 34 2-SampT Test because we do not have the population standard deviation, we only have the sample standard deviation.

Conclusion: Due to a p-value of .02336 at an α of .05, the p-value is smaller than the α and we reject Ho. We have statistically significant evidence to conclude that the average reaction time of all males who participated in the test was less than the average of all females who participated in the test.

Confidence Interval x̅ ± t*(s/√n) We are 95% confident that the true mean of all males a

What we’d do differently: Ensure that the yardstick is right above their hand before dropping it. Measure where their top of their hand is on the yardstick more accurately.