Question

a formal hypothesis test is to be conducted to test the claim that the wait times at the space mountain ride in walt disney world have a mean equal to 49 minutes. complete parts (a) through (d).

a. what is the null hypothesis, and how is it denoted?
minute(s)
(type an integer or a decimal. do not round.)

b. what is the alternative hypothesis, and how is it denoted?
minute(s)
(type an integer or a decimal. do not round.)

c. what are the possible conclusions that can be made about the null hypothesis? select all that apply.
a. reject the alternative hypothesis.
b. reject the null hypothesis.
c. fail to reject the null hypothesis.
d. fail to reject the alternative hypothesis.
e. accept the null hypothesis.
f. accept the alternative hypothesis.

Explanation:

Step1: Define null hypothesis

The null hypothesis states the claimed mean, denoted as $H_0$.
$H_0: \mu = 49$

Step2: Define alternative hypothesis

The alternative hypothesis contradicts the null, denoted as $H_1$ (or $H_a$).
$H_1: \mu
eq 49$

Step3: Identify valid conclusion options

In hypothesis testing, we only reject or fail to reject the null hypothesis; we do not "accept" hypotheses, nor do we focus conclusions on the alternative directly in this framing.

Answer:

a. $H_0: \mu = 49$ minutes
b. $H_1: \mu
eq 49$ minutes
c. B. Reject the null hypothesis, C. Fail to reject the null hypothesis