Match each P-value with the graph that displays its area without performing any calculations. Explain your reasoning. P = 0.0158 and P=0.1762.
(a) = -2.15
(b) z= -0.93
Graph
displays the area for P=0.0158 and graph
displays the area for P = 0.1762 because the P-value
Click to select your answer(s) and then click Check Answer

a) z = -2.15 has p-value = 0.0158

b) z = -0.93 has p value = 0.1762

Step-by-step explanation:

We are given two z-scores and two p-values and we have to identify which p-value belongs to which z-score without using any calculator/table.

To solve this problem we need to understand about the p-value of the z-score and what does it represent. The p-value of a z-score represents the area under the graph in a standard normal curve which is to the left of that z-score. If the z-score is increased, the area to its left will increase, so this means the p-value will also increase.

From the given z-scores, z = - 2.15 is smaller than z = - 0.93. This means the area to the left of z = - 2.15 in a standard normal curve will be lesser than that of z = - 0.93. Hence, the p-value for z = - 2.15 will be lesser than the p-value of z = - 0.93

So,

p-value for z = - 2.15 is p = 0.058

and

p-value for z = 0.1762 is p = 0.1762

not only in mathematics, scientific proof also are required in the other field of science. also maths proofs are of particular structure, containing steps and logics. so proving is like doing science, it is science. that's why it is important to prove. 

an inaccurate proof leads to errors, or stating results that are not accurate.  which wil mess the probelm up you dont want this