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Are you smarter than a second-grader? A random sample of 57 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x=46. Assume the standard deviation of test scores is σ=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 weaker math skills than the nationwide average. Use the α=0.05 level of significance and the P-value method with the TI-84 calculator.
a) State the appropriate null and alternate hypotheses.
This hypothesis test is a __test.
b) P-value=
c) Determine whether to reject
d) There ___ enough evidence to conclude that the second-graders in the superintendent's school district have less math skills than the nationwide average.
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