Considering the situation described, the hypothesis tested are given as follows:
At the null hypothesis, it is tested if the standard deviation is not less than $23, that is:
[tex]H_0: \sigma \geq 23[/tex]
At the alternative hypothesis, it is tested if there is significant evidence t conclude that the standard deviation is less than $23, that is:
[tex]H_1: \sigma < 23[/tex]
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