Question 12 (0.75 points) A random sample of 64 second-graders in a certain scho

Question

Question 12 (0.75 points) A random sample of 64 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is 51.05. 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 13 (0.75 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? There is not enough evidence to conclude that the second-graders in her district do not have greater math skills This is not enough evidence to conclude that the second-graders in her district have greater math skills. There is evidence to conclude that the second-graders in her district have greater math skills. There is evidence to conclude that the second-graders in her district do not have greater math skills.

Explanation / Answer

#12.
H0: mu = 50
Ha: mu > 50

xbar = 51.05
sigma = 15
mean = 50

Test statistic,
z = (51.05 - 50)/(15/sqrt(64))
z = 0.56

p-value = 0.2877

#13.
As p-value is greater than the significance level of 0.05, we fail to reject the null hypothesis.

This is not enough evidence to conclude that the second grader in her district have greater math skills.

Option B.

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