Beckman hypothesized that experience playing video games would improve a person's spatial skills. Each participant's spatial skills were measured. Participants then played video games for two hours and their spatial skills were measured again at the end of the game. The number of correct spatial problems was recorded for each participant. Analyze the following data, state your null hypothesis, and report your critical value using α = .05. Interpret your results. sD = 2.8 BeforeAfter7105685354759M = 5.33M = 7

Given: n = 6 α = 0.05 Formula Used: Test-statistic t = d-μdsdnExplanation: Before After Difference d= (After-Before) 7 10 3 5 6 1 8 5 -3 3 5 2 4 7 3 5 9 4 Sum = 10.0000 Mean d = 1.6667 Standard deviation sd = 2.503331 Null hypothesis: H0 : μd = 0 Alternative hypothesis: Ha : μd > 0 Test-statistic t = d-μdsdn= 1.6667-02.5033316= 1.66671.02198= 1.631 df = 6-1 = 5 The critical value of t* at 0.05 significance level for 5 df is: The critical value t* = 2.0150 {Using MS Excel} Answer: Test-statistic t = 1.631 The critical value t* = 2.0150 Failed to reject the null hypothesis. There is not sufficient evidence to support the claim that experience playing video games would improve a person's spatial skills

Answered: Beckman hypothesized that experience…

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018

18th Edition

ISBN:9780079039897

Author:Carter

Publisher:Carter

Chapter10: Statistics

Section10.6: Summarizing Categorical Data

Problem 23PPS

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Beckman hypothesized that experience playing video games would improve a person's spatial skills. Each participant's spatial skills were measured. Participants then played video games for two hours and their spatial skills were measured again at the end of the game. The number of correct spatial problems was recorded for each participant. Analyze the following data, state your null hypothesis, and report your critical value using α = .05. Interpret your results. s_D = 2.8