Question 1
Formulate the null and alternative hypotheses for a hypothesis test.
In 1990, the average math SAT score for students at one school was 498. Five years later, a teacher wants to perform a hypothesis test to determine whether the average math SAT score of students at the school has changed from the 1990 mean of 498.
◦ H
0:: μ ≥ 498
H
a: μ < 498
◦ H
0: μ = 498
H
a: μ < 498
◦ H
0: μ = 498
H
a: μ ≠ 498
◦ H
0: μ = 498
H
a: μ > 498
Question 2
Formulate the null and alternative hypotheses for a hypothesis test.
A consumer advocacy group claims that the mean amount of juice in a 18 ounce bottled drink is not

as stated by the bottler.
◦ H
0: μ = 18 ounces
H
a: μ > 18 ounces
◦ H
0: μ = 18 ounces
H
a: μ ≠ 18 ounces
◦ H
0: μ ≠ 18 ounces
H
a: μ = 18 ounces
◦ H
0: μ = 18 ounces
H
a: μ < 18 ounces