A random sample of 64 second-graders in a certain school district are given a st

Question

A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is 51.60 . 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. Round your answer to four decimal places (for example: 0.2305). Write only a number as your answer. Your Answer: Answer Save Question 7 (6 points) 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? O There is not enough evidence to conclude that the second-graders in her district do not have greater math skills. O This is not enough evidence to conclude that the second-graders in her district have greater math skills. O There is evidence to conclude that the second-graders in her district do not have greater math skills. O There is evidence to conclude that the second-graders in her district have greater math skills.

Explanation / Answer

Ho: <= 50
Ha: > 50

Test statistic, z = (x-)/(SD/sqrt(N)) = (51.6-50)/(15/sqrt(64)) = 0.85

p-value = 0.1977 (right tailed)

7) Answer: Option B. There is not enough evidence to conclude that the second-graders in her district have greater math skills

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