Question

# Question 12 A random sample of 64 second-graders in a certain school district are given a...

Question 12

A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is 51.12 . Assume the standard deviation for the population of test scores is 15. The nationwide average score on this test is 50. The school superintendent wants to know whether the second-graders in her school district have greater math skills than the nationwide average. Perform the hypothesis test and compute the P-value.

Write down your P-value. You will need it for the next question.

Question 13

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?

Question 13 options:
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.

I have done both approach, P value and critical value- region approach .

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