Answer:
Correct option:
(B) <em>H₀</em>: <em>μ</em> = 2.40 vs. <em>Hₐ</em>: <em>μ</em> ≠ 2.40.
Step-by-step explanation:
The registrar of particular university in 1975 plans to look at records of students graduating last year to see if the mean GPA has changed from 2.40.
The registrar can use a single mean test to determine whether the mean has changed or not.
The hypothesis can be described as:
<em>H₀</em>: The mean GPA is 2.40, i.e. <em>μ</em> = 2.40.
<em>Hₐ</em>: The mean GPA is different from 2.40, i.e. <em>μ</em> ≠ 2.40.
To perform the test the registrar can either use a <em>z</em>-distribution or a <em>t</em>-distribution.
If the data provided gives some insight about the population standard deviation and the sample selected is quite large then the <em>z</em>-distribution can be used.
Otherwise it is wiser to use a <em>t</em>-distribution.
The decision rule is:
If the <em>p</em>-value of the test is less than the significance level then the null hypothesis will be rejected and vice-versa.
Thus, the correct option is (B).
It is a parallelogram, because it has 2 sets of parallel lines. The top and bottom are parallel to eachother and the side lines are parallel to each other.
Answer: P = 1/12 = 0.083
Step-by-step explanation:
Out of the 12 girls, there will be only one that is the lead-off batter.
we can assume that this is the first being selected at random, then the probability that you will be the lead-off batter, is equal to the quotient between 1 (the outcome where you are selected) and 12 (the total number of outcomes)
Then the probability is:
P = 1/12 = 0.083
The fact that there will be an arrange of only 9 girls does not affect the probability of you getting the position of the lead-off batter.
Answer:
90
Step-by-step explanation:
DM=1/4 of MBND
a circle =360
360÷4=90
Answer:
54
Step-by-step explanation:
20% of 15 is 3 so Quentin is 18 years old
If Quentin is one thrid his Aunt's age that means his aunt is three times older.
18 * 3 = 54
So his Aunt is 54 years old
