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 X46, 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 weaker math skills than the nationwide average. Use the a 0.05 level of significance and the P-value method with the TI-84 calculator. Part 1 of 4 State the appropriate null and alternate hypotheses. H u 50 H u< 50 This hypothesis test is a (Choose one) test. Part 2 of 4 Compute the P-value of the test statistic. Round the answer to at least four decimal places. P-value Part 3 of 4 Determine whether to reject Ho (Choose one) - the null hypothesis Ho- Part 4 of 4 Summarize the results. There (Choose one) v 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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Author:Amos Gilat
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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 X46, 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 weaker math skills than the nationwide average. Use the a 0.05 level of significance and
the P-value method with the TI-84 calculator.
Part 1 of 4
State the appropriate null and alternate hypotheses.
Hou 50
H u< 50
This hypothesis test is a (Choose one) test.
Part 2 of 4
Compute the P-value of the test statistic. Round the answer to at leas
four decimal places.
P-value
Part 3 of 4
Determine whether to reject H
(Choose one) ▼
the null hypothesis Ho-
nt 2 ..
Part 4 of 4
Summarize the results.
There (Choose one) v enough evidence to conclude that the second-graders in the superintendent's school district have
less math skills than the nationwide average.
Transcribed Image Text: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 X46, 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 weaker math skills than the nationwide average. Use the a 0.05 level of significance and the P-value method with the TI-84 calculator. Part 1 of 4 State the appropriate null and alternate hypotheses. Hou 50 H u< 50 This hypothesis test is a (Choose one) test. Part 2 of 4 Compute the P-value of the test statistic. Round the answer to at leas four decimal places. P-value Part 3 of 4 Determine whether to reject H (Choose one) ▼ the null hypothesis Ho- nt 2 .. Part 4 of 4 Summarize the results. There (Choose one) v 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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