The true mean hours of sleep a night of college students in the United States is 6.2 hours. Suppose you want to use a hypothesis test to determine whether the mean hours of sleep a night of BYU-Idaho students is higher than the national mean. Which of the following pairs of hypotheses is the most appropriate for addressing this question?H_o : mu = 6.2 qquad H_a : mu > 6.2 H_o : mu > 6.2 qquad H_a : mu = 6.2 H_o : mu = 6.2 qquad H_a : mu != 6.2 H_o : mu != 6.2 qquad H_a : mu = 6.2 H_o : mu = 6.2 qquad H_a : mu < 6.2 H_o : mu < 6.2 qquad H_a : mu = 6.2

Respuesta :

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]