Are you smarter than a second grader? A random sample of 60 second graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x = 52. Assume the standard deviation of test scores is o = 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. a. State the appropriate null and alternate hypotheses. b. Compute the value of the test statistic. c. State a conclusion. Use the a = 0.01 level of significance.

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52. Are you smarter than a second grader? A random sample of 60 second graders in a certain school district are given a standardized
mathematics skills test. The sample mean score is x = 52. Assume the standard deviation of test scores is o = 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.
a. State the appropriate null and alternate hypotheses.
b. Compute the value of the test statistic.
c. State a conclusion. Use the a = 0.01 level of significance.
Transcribed Image Text:52. Are you smarter than a second grader? A random sample of 60 second graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x = 52. Assume the standard deviation of test scores is o = 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. a. State the appropriate null and alternate hypotheses. b. Compute the value of the test statistic. c. State a conclusion. Use the a = 0.01 level of significance.
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