When you have two parallel lines being cut by a transversal, you can use the next statements for the angles:
The measurement of the angles in green is the same (are congruents)
The measurement of the angles in blue is the same (are congruents)
An angle in green is a complementary angle with an angle in blue. (The addition of the two angles has to be 180º)
You know that:
As the angle 3 is congruent with angle 2:
Answer:
The required hypothesis to test is and
.
Step-by-step explanation:
Consider the provided information.
It is given that the nightclub has recently surveyed a random sample of n = 250 customers of the club.
She would now like to determine whether or not the mean age of her customers is over 30.
Null hypotheses is represents as . Thus the null hypotheses is shown as:
The alternative hypotheses is represents as . Thus the alternative hypotheses is shown as:
Hence, the required hypothesis to test is and
.