years old. A linguist believes the average age children learn a second language is less than the age stated in the study. To test this claim, at the 2.5% significance level, the linguist collects the following data on a sample of 21 children learning a second language and records the age of when they started learning the second language.  The following is the data from this study:   Sample size =21 children Sample mean =9.2 years old Sample standard deviation =2.5 years old   Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=,≠,<, or > to represent the correct hypothesis.) Provide your answer below:   null hypothesis :  $\mu$μ​   10 alternative hypothesis :  $\mu$μ​   10

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.6: Summarizing Categorical Data
Problem 4BGP
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Based on a recent study about language development, it is recommended children learn a second language when they are 10 years old. A linguist believes the average age children learn a second language is less than the age stated in the study. To test this claim, at the 2.5% significance level, the linguist collects the following data on a sample of 21 children learning a second language and records the age of when they started learning the second language.  The following is the data from this study:
 

Sample size =21 children
Sample mean =9.2 years old
Sample standard deviation =2.5 years old

 

Identify the null and alternative hypothesis for this study by filling in the blanks with the correct symbol (=,≠,<, or > to represent the correct hypothesis.)

Provide your answer below:

 

null hypothesis :  $\mu$μ​   10

alternative hypothesis :  $\mu$μ​   10

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