Answer:
The null hypothesis is [tex]H_{0}: \mu = 8[/tex], and the alternative hypothesis is [tex]H_{a}: \mu < 8[/tex]
Step-by-step explanation:
At the null hypothesis, we test if the mean is equal to a certain value.
At the alternate hypothesis, we test if the mean is less than, more than, or different of the value tested at the null hypothesis.
Claims to lose an average of 8 pounds the first month
This means that the null hypothesis is [tex]H_{0}: \mu = 8[/tex]
If the FTC finds evidence that the average is less than 8 pounds, the agency will file a lawsuit against the company for false advertising.
FTC tests if the mean is less than 8, so the alternate hypothesis is [tex]H_{a}: \mu < 8[/tex]
