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General Instructions: Show your full solution. 1) A high school math teacher claims that students in her class will score higher on math portion of the ACT then students in a colleague's math class. The mean ACT math score for students in her class is 22.1. The mean ACT math scores for 44 of the colleague's students is 19.7 with a standard deviation of 3.2. At a = 0.05, can the teacher's claim be supported?

General Instructions: Show your full solution. 1) A high school math teacher claims that students in her class will score higher on math portion of the ACT then students in a colleague's math class. The mean ACT math score for students in her class is 22.1. The mean ACT math scores for 44 of the colleague's students is 19.7 with a standard deviation of 3.2. At a = 0.05, can the teacher's claim be supported?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.3: Measures Of Spread
Problem 26PFA
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General Instructions: Show your full solution. 1) A high school math teacher claims that students in her class will score higher on math portion of the ACT then students in a colleague's math class. The mean ACT math score for students in her class is 22.1. The mean ACT math scores for 44 of the colleague's students is 19.7 with a standard deviation of 3.2. At α = 0.05, can the teacher's claim be supported? 2) A neurologist is testing the effect of a drug on response time by injecting 27 rats with a unit dose of the drug, subjecting each to neurological stimulus, and recording its response time. The neurologist knows that the mean response time for rats not injected with the drug is 1.1 seconds. The mean of 27 injected rats' response time is 1.003 seconds with a sample standard deviation of 0.012 seconds. Do you think that the drug has an effect on response time?
Transcribed Image Text:General Instructions: Show your full solution. 1) A high school math teacher claims that students in her class will score higher on math portion of the ACT then students in a colleague's math class. The mean ACT math score for students in her class is 22.1. The mean ACT math scores for 44 of the colleague's students is 19.7 with a standard deviation of 3.2. At α = 0.05, can the teacher's claim be supported? 2) A neurologist is testing the effect of a drug on response time by injecting 27 rats with a unit dose of the drug, subjecting each to neurological stimulus, and recording its response time. The neurologist knows that the mean response time for rats not injected with the drug is 1.1 seconds. The mean of 27 injected rats' response time is 1.003 seconds with a sample standard deviation of 0.012 seconds. Do you think that the drug has an effect on response time?
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