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Answer:
[tex]H_0=\sigma_1 =\sigma_2[/tex]
[tex]H_a=\sigma_1 >\sigma_2[/tex]
Step-by-step explanation:
From the question we are told that
Number of math tests n=15
standard deviation 1 [tex]\sigma _1=38.2[/tex]
standard deviation 1 [tex]\sigma _2=22.5[/tex]
Generally given the two tailed test the null hypothesis is given as
[tex]H_0=\sigma_1 =\sigma_2[/tex]
Generally given the two tailed test the null hypothesis is given as
[tex]H_a=\sigma_1 >\sigma_2[/tex]