Answer:
Option A)
[tex]H_{0}: \mu = 6.2\text{ hours}\\H_A: \mu > 6.2\text{ hours}[/tex]
Step-by-step explanation:
We are given he following in the question:
Population mean = 6.2 hours.
The hypothesis wants to determine if the mean hours of sleep a night of students is higher than the national mean.
Thus, we can design the null and alternate hypothesis as:
[tex]H_{0}: \mu = 6.2\text{ hours}\\H_A: \mu > 6.2\text{ hours}[/tex]
The null hypothesis states that mean hours of sleep a night of students is equal to the national mean that is 6.2 hours.
The alternate hypothesis states that mean hours of sleep a night of students is higher than the national mean that is 6.2 hours.
Thus, the correct answer is
Option A)
[tex]H_{0}: \mu = 6.2\text{ hours}\\H_A: \mu > 6.2\text{ hours}[/tex]