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 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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