SAT scores: The College Board reports that in 2018 the mean score on the math SAT was 527 and the population standard deviation was 0-102. A random sample of 20 students who took the test in 2019 had a mean score of $12. Following is a dotplot of the 20 scores. 100 200 300 400 Part: 2/6 500 (a) Are the assumptions for a hypothesis test satisfied? No, the sample size is too small and the sample does not appear to come from a population with an approximately normal distribution. Yes, the sample size is large enough to perform the test, whether or not the population is normally distributed. 600 Yes, the sample size is small, but we can see that the sample seems to come from a population with an approximately normal distribution. State the null and alternate hypotheses. Ho: μ-527 H₁: #527 This hypothesis test is a two-tailed X 700 (b) Perform a hypothesis test to determine whether you can conclude that the mean score in 2019 differs from the mean score in 2018. Assume the population standard deviation is a-102. Use the a-0.10 level of significance and the P-value method with the TI-84 Plus calculator. test. 800 Compute the value of the test statistic. Round the answer to two decimal places.

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
find 1. Z value 2. P Value 3. T value 4. Reject or do not reject 5. State conclusion
SAT scores: The College Board reports that in 2018 the mean score on the
math SAT was 527 and the population standard deviation was 0-102. A
random sample of 20 students who took the test in 2019 had a mean score of
512. Following is a dotplot of the 20 scores.
100
200
300
400
Part: 2 / 6
500
(a) Are the assumptions for a hypothesis test satisfied?
No, the sample size is too small and the sample does not appear to come from a
population with an approximately normal distribution.
600
Yes, the sample size is large enough to perform the test, whether or not the
population is normally distributed.
700
Yes, the sample size is small, but we can see that the sample seems to come
from a population with an approximately normal distribution.
State the null and alternate hypotheses.
H : | u =527|
H₁: #527
This hypothesis test is a two-tailed
test.
(b) Perform a hypothesis test to determine whether you can conclude
that the mean score in 2019 differs from the mean score in 2018. Assume
the population standard deviation is G-102. Use the a-0.10 level of
significance and the P-value method with the TI-84 Plus calculator.
800
Compute the value of the test statistic. Round the answer to two
decimal places.
Transcribed Image Text:SAT scores: The College Board reports that in 2018 the mean score on the math SAT was 527 and the population standard deviation was 0-102. A random sample of 20 students who took the test in 2019 had a mean score of 512. Following is a dotplot of the 20 scores. 100 200 300 400 Part: 2 / 6 500 (a) Are the assumptions for a hypothesis test satisfied? No, the sample size is too small and the sample does not appear to come from a population with an approximately normal distribution. 600 Yes, the sample size is large enough to perform the test, whether or not the population is normally distributed. 700 Yes, the sample size is small, but we can see that the sample seems to come from a population with an approximately normal distribution. State the null and alternate hypotheses. H : | u =527| H₁: #527 This hypothesis test is a two-tailed test. (b) Perform a hypothesis test to determine whether you can conclude that the mean score in 2019 differs from the mean score in 2018. Assume the population standard deviation is G-102. Use the a-0.10 level of significance and the P-value method with the TI-84 Plus calculator. 800 Compute the value of the test statistic. Round the answer to two decimal places.
Expert Solution
trending now

Trending now

This is a popular solution!

steps

Step by step

Solved in 3 steps with 14 images

Blurred answer
Similar questions
  • SEE MORE 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