6. 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. The data are summarized below where vocabulary size xx is measured in total words known. Construct a 95% confidence interval for the difference \mu_1 - \mu_2μ1​−μ2​. 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. The data are summarized below where vocabulary size xx is measured in total words known.    n x-bar s Platform 1 20 2800 600 Platform 2 28 2200 560   Construct a 95% confidence interval for the difference μ1​−μ2​. a. −600±170.88 b. 2200±357.652 c. 2800±170.88 d. 600±357.652

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16. 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. The data are summarized below where vocabulary size xx is measured in total words known.

Construct a 95% confidence interval for the difference \mu_1 - \mu_2μ1​−μ2​.

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. The data are summarized below where vocabulary size xx is measured in total words known.

   n x-bar s
Platform 1 20 2800 600
Platform 2 28 2200 560

 

Construct a 95% confidence interval for the difference μ1​−μ2​.

a. −600±170.88

b. 2200±357.652

c. 2800±170.88

d. 600±357.652

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