Are you smarter than a second-grader? A random sample of 59 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is X=56. 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 greater math skills than the nationwide average. Use the a = 0.05 level of significance and the P-value method with the TI-84 calculator. Answer the following questions.
Are you smarter than a second-grader? A random sample of 59 second-graders in a certain school district are given a standardized mathematics skills test. The sample mean score is X=56. 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 greater math skills than the nationwide average. Use the a = 0.05 level of significance and the P-value method with the TI-84 calculator. Answer the following questions.
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Question
Are you smarter than a second-grader? A random sample of 59 second-graders in a certain school district are given a
standardized mathematics skills test. The sample mean score is X=56. 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 greater math skills than the nationwide average. Use the a = 0.05 level of significance and the P-value method
with the TI-84 calculator. Answer the following questions.
![Are you smarter than a second-grader? A random sample of 59 second-graders in a certain school district are given a
standardized mathematics skills test. The sample mean score is x = 56. 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 greater 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: 0 / 4
Part 1 of 4
State the appropriate null and alternate hypotheses.
Ho
O<O
ロ=ロ
H, :
ローロ
This hypothesis test is a (Choose one)
test.
left-tailed
right-tailed
two-tailed](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a23681c-5195-4ca8-96bf-4656f7870a85%2Fdee04483-a8de-4930-a490-020b3d749c19%2Fp6wmetg_processed.jpeg&w=3840&q=75)
Transcribed Image Text:Are you smarter than a second-grader? A random sample of 59 second-graders in a certain school district are given a
standardized mathematics skills test. The sample mean score is x = 56. 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 greater 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: 0 / 4
Part 1 of 4
State the appropriate null and alternate hypotheses.
Ho
O<O
ロ=ロ
H, :
ローロ
This hypothesis test is a (Choose one)
test.
left-tailed
right-tailed
two-tailed
![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 H
Reject
Do Not Reject
Part 4 of 4
(Choose one) ▼
Is
There is not
enough evidence to conclude that the second-graders in the
superintendent's school district have less math skills than the nationwide average.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F1a23681c-5195-4ca8-96bf-4656f7870a85%2Fdee04483-a8de-4930-a490-020b3d749c19%2F6cxp49_processed.jpeg&w=3840&q=75)
Transcribed Image Text: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 H
Reject
Do Not Reject
Part 4 of 4
(Choose one) ▼
Is
There is not
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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