average of 4 numbers is 11 so 11*4 = 44
average of 5 numbers is 12.4 so 12.4*5 = 62
the 5th number = 62-44 = 18
Answer:

Step-by-step explanation:
Solve for the value of
:

-Divide
by
:


-Add
to both sides:


-Take
and divide it on both sides:


Therefore, the value of
is
.
Answer:
Null Hypothesis,
:
= 2.0 units or
= 2.0 units
Alternate Hypothesis,
:
2.0 units or
2.0 units
Step-by-step explanation:
We are given the following data below and we have test if the population represented by Sample 1 has a mean that is 2.0 units higher than the population represented by Sample 2;
Pair : 1 2 3 4 5 6 7
Sample1 : 5 6 10 3 6 7 8
Sample2 : 4 4 3 5 5 5 3
Let
= population mean represented by Sample 1
= population mean represented by Sample 2
= population mean matched-pair differences for Sample 1 - Sample 2
So, Null Hypothesis,
:
= 2.0 units or
= 2.0 units
Alternate Hypothesis,
:
2.0 units or
2.0 units
Here null hypothesis states that the population represented by Sample 1 has a mean that is 2.0 units higher than the population represented by Sample 2.
On the other hand, alternate hypothesis states that the population represented by Sample 1 has a mean that is not 2.0 units higher than the population represented by Sample 2.
Answer:
5 and 6
Step-by-step explanation:
-they are factors of 30
-they are consecutive (right after each other)
-they are both positive