If we wish to test whether Platform 1 is indeed better than Platform 2 for learning vocabulary, what hypotheses should we use?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 27PPS
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One measure of knowledge of a language is the size of someone's vocabulary. Certain digital language learning platforms focus heavily on building vocabulary. Suppose we consider two such learning platforms, Platform 1 and Platform 2, and compare their ability to improve vocabulary. Platform 1 markets itself as the best program for learning vocabulary, whereas Platform 2 markets itself as more a rounded program for learning language. Random samples of user data were taken from the two platforms. 

 

If we wish to test whether Platform 1 is indeed better than Platform 2 for learning vocabulary, what hypotheses should we use?

a. H0​:μ1​=μ2, H_1: \mu_1 < \mu_2H1​:μ1​<μ2​

 

b. H0​:μ1​=μ2, H_1: \mu_1 > \mu_2H1​:μ1​>μ2​

c.  H0​:μ1​=μ2, H_1: \mu_1 \ne \mu_2H1​:μ1​​=μ2​

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