To determine whether caffeine consumption affectsthe ability to solve math problems, a researcher hadone group solve math problems after taking a cup of caffeinated drink and another group solve math problems after taking a cup of water. The group who took the caffeinated drink completed 35 problems in one hour and the group that had water completed 20 problems in one hour. Assuming the number of problems solved is normally distributed in each group, what statistical test would be used to test the research hypothesis? Explain your answer.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 10CYU
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To determine whether caffeine consumption affectsthe ability to solve math problems, a researcher hadone group solve math problems after taking a cup of caffeinated drink and another group solve math problems after taking a cup of water. The group who took the caffeinated drink completed 35 problems in one hour and the group that had water completed 20 problems in one hour. Assuming the number of problems solved is normally distributed in each group, what statistical test would be used to test the research hypothesis? Explain your answer.

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According to the provided question, a study was conducted to test the caffeine consumption affects the ability to solve math problems. Participants in the study one group solve math problems after taking a cup of caffeinated drink and another group solve math problems after taking a cup of water. The hypothesis can be defined as follows:

Null hypothesis:
in='nH
Alternative hypothesis:
H 2
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