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 is measured in total words known. n Platform 1 20 Platform 2 28 x-bar 2800 2200 S 600 560 Construct a 99% confidence interval for the difference 1 - 1₂.

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. The data are summarized below
where vocabulary size x is measured in total words
known.
n
Platform 1 20
Platform 2 28
x-bar
2800
2200
S
600
560
Construct a 99% confidence interval for the
difference 1 - μ2.
\(600 \pm 488.888\)
\(2200 \pm 488.888\)
-600 170.88
2800 170.88
Transcribed Image Text: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 x is measured in total words known. n Platform 1 20 Platform 2 28 x-bar 2800 2200 S 600 560 Construct a 99% confidence interval for the difference 1 - μ2. \(600 \pm 488.888\) \(2200 \pm 488.888\) -600 170.88 2800 170.88
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