Are you smarter than a second-grader? A random sample of 6l second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x = 54. Assume the standard deviation of test scores is o = 10. The nationwide average score on this test is 51. The school superintendent wants to know whether the second-graders in her school district are different from the nationwide average. Use the a=0.01 level of significance and the critical value method. Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H:p = 51 H, :p = 51 This hypothesis test is a two-tailed ▼ test Part: 1/5 Part 2 of 5 Find the critical value(s). Round the answer(s) to three decimal places, if necessary. If there is more than one critical value, separate them with commas, Critical value(s):|

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Are you smarter than a second-grader? A random sample of 6l second-graders in a certain school district are given a
standardized mathematics skills test. The sample mean score is x =54. Assume the standard deviation of test scores is o =10.
The nationwide average score on this test is 51. The school superintendent wants to know whether the second-graders in her
school district are different from the nationwide average. Use the a= 0.01 level of significance and the critical value method.
Part 1 of 5
(a) State the appropriate null and alternate hypotheses.
H: H = 51
H, :p = 51
This hypothesis test is a two-tailed
vtest.
Part: 1/5
Part 2 of 5
Find the critical value(s). Round the answer(s) to three decimal places, if necessary, If there is more than one critical value,
separate them with commas,
Critical value(s):
Transcribed Image Text:Are you smarter than a second-grader? A random sample of 6l second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is x =54. Assume the standard deviation of test scores is o =10. The nationwide average score on this test is 51. The school superintendent wants to know whether the second-graders in her school district are different from the nationwide average. Use the a= 0.01 level of significance and the critical value method. Part 1 of 5 (a) State the appropriate null and alternate hypotheses. H: H = 51 H, :p = 51 This hypothesis test is a two-tailed vtest. Part: 1/5 Part 2 of 5 Find the critical value(s). Round the answer(s) to three decimal places, if necessary, If there is more than one critical value, separate them with commas, Critical value(s):
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