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...


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

Extracted 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="">

Jun 09, 2022
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