Answer :
We want to test if the average prom dress price in Alyssa’s high school is greater than \[tex]$195. This leads us to set up our hypotheses as follows:
1. The null hypothesis, $[/tex]H_0[tex]$, represents the assumption that there is no difference from the known value. In this case, it states that the mean price is \$[/tex]195. Formally,
[tex]$$H_0: \mu = 195.$$[/tex]
2. The alternative hypothesis, [tex]$H_a$[/tex], expresses Alyssa's claim that the mean price is higher than \[tex]$195. Thus, we have
$[/tex][tex]$H_a: \mu > 195.$[/tex][tex]$
These correspond to the first option:
$[/tex][tex]$H_0: \mu = 195 \quad \text{and} \quad H_a: \mu > 195.$[/tex]$
1. The null hypothesis, $[/tex]H_0[tex]$, represents the assumption that there is no difference from the known value. In this case, it states that the mean price is \$[/tex]195. Formally,
[tex]$$H_0: \mu = 195.$$[/tex]
2. The alternative hypothesis, [tex]$H_a$[/tex], expresses Alyssa's claim that the mean price is higher than \[tex]$195. Thus, we have
$[/tex][tex]$H_a: \mu > 195.$[/tex][tex]$
These correspond to the first option:
$[/tex][tex]$H_0: \mu = 195 \quad \text{and} \quad H_a: \mu > 195.$[/tex]$