The correct null hypothesis and alternate hypothesis will be
[tex]H_{0} =\mu=195\\H_{a} =\mu > 195[/tex]
It is given that
The mean price of a prom dress was $195. 00 with a standard deviation of $12. 0
Given that Alyssa thinks that her school is more fashion-conscious and that students spent more than $195.00.
She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00.
Since she wants to check whether the sample mean [tex]\mu[/tex] is the same as the population mean [tex]\mu[/tex] = 195
[tex]H_{0} =\mu=195\\H_{a} =\mu > 195[/tex]
(Right hypothesis test)
Thus the correct null hypothesis and alternate hypothesis will be
[tex]H_{0} =\mu=195\\H_{a} =\mu > 195[/tex]
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