a branch of mathematics that deals with the study of collecting, analyzing, interpreting, presenting, and organizing data in a p
2 answers:
You might be interested in
Answer:
The probability the he or she will answer correctly is 1.5%
Step-by-step explanation:
In all, there are 18 problems. In this question, the order of which the problems are sorted for the quiz makes no difference. For example, if the question A of the quiz is P1 and question B P2, and question A P2 and question B P1, it is the same thing.
There are 18 problems and 9 are going to be selected. So, there is going to be a combination of 9 elements from a set of 18 elements.
A combination of n elements from a set of m objects has the following formula:
In this question, m = 18, n = 9. So the total number of possibilities is:
Now we have to calculate the number of desired outcomes. This number is a combination of 9 elements from a set of 13 elements(13 is the number of problems that the student has figured out how to do).
Now, m = 13, n = 9. The number of desired possibilities is:
The probability is the number of desired possibilities divided by the number of total possibilities. So
The probability the he or she will answer correctly is 1.5%
Answer:
The weight of an adult male who is 172 cm tall is 89.36 kg.
Step-by-step explanation:
The regression equation representing the relationship between height and weight of a person is:
Here
<em>y</em> = weight of a person
<em>x</em> = height of a person
The information provided is:
The hypothesis to test the significance of the correlation between height and weight is:
<em>H₀</em>: There is no relationship between the height and weight, i.e. <em>ρ</em> = 0.
<em>Hₐ</em>: There is a relationship between the height and weight, i.e. <em>ρ </em>≠ 0.
Decision rule:
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.
According to information provided:
<em>p</em>-value = 0.023 < <em>α</em> = 0.05
The null hypothesis was rejected at 5% level of significance.
Thus, concluding that there is a relationship between the height and weight.
Compute the weight of an adult male with height, <em>x</em> = 172 cm as follows:
Thus, the weight of an adult male who is 172 cm tall is 89.36 kg.