Question

Question 13 (0.75 points) Saved Recall the previous question where the school superintendent wanted to know whether second-graders in her school district have greater math skills than the nationwide average. Based on your P-value, what is the conclusion if we test at the 0.05 level of significance? There is evidence to conclude that the second-graders in her district do not have greater math skills. There is evidence to conclude that the second-graders in her district have greater math skills. This is not enough evidence to conclude that the second-graders in her district have greater math skills. There is not enough evidence to conclude that the second-graders in her district do not have greater math skills.

Answer 1

2)

As the population s.d is known here we can use standard normal z table to estimate the answer

Null hypothesis Ho : u = 50

Alternate hypothesis Ha : u > 50

Test statistics z = (sample mean - claimed mean)/(s.d/√n)

= (51.81 - 50)/(15/√64)

= 0.97

From z table, P(z>0.97) = 0.1660

P-value = 0.1660