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.

MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
icon
Related questions
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
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.
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.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Similar questions
Recommended textbooks for you
MATLAB: An Introduction with Applications
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
Probability and Statistics for Engineering and th…
Probability and Statistics for Engineering and th…
Statistics
ISBN:
9781305251809
Author:
Jay L. Devore
Publisher:
Cengage Learning
Statistics for The Behavioral Sciences (MindTap C…
Statistics for The Behavioral Sciences (MindTap C…
Statistics
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
The Basic Practice of Statistics
The Basic Practice of Statistics
Statistics
ISBN:
9781319042578
Author:
David S. Moore, William I. Notz, Michael A. Fligner
Publisher:
W. H. Freeman
Introduction to the Practice of Statistics
Introduction to the Practice of Statistics
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman