Are you smarter than a second grader? A random sample of second graders in a certain school district are given a standardized mathematics skills test. The sample mean score is . Assume the standard deviation of test scores is . The nationwide average score on this test is . The school superintendent wants to know whether the second graders in her school district have different math skills than the nationwide average. Use the level of significance and the -value method with the TI-84 Plus calculator. Part: 0 / 5 0 of 5 Parts Complete Part 1 of 5 (a) State the appropriate null and alternate hypotheses. This hypothesis test is a test. Part: 1 / 5 1 of 5 Parts Complete Part 2 of 5 (b) Compute the value of the test statistic. Round the answer to two decimal places. Part: 2 / 5 2 of 5 Parts Complete Part 3 of 5 (c) Compute the -value of the test statistic. Round the answer to four decimal places. -value © 2025 Mc
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Step 1
- Null hypothesis (H0): The district’s mean score equals the nationwide mean, μ = μ0. - Alternative hypothesis (H1): The district’s mean score differs from the nationwide mean, μ ≠ μ0. This is a two-tailed test. Notes: - Use the given values: sample mean x̄, Show more…
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