A college entrance exam company determined that a score of 23 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 200 students who completed this core set of courses results in a mean math score of 23.4 on the college entrance exam with a standard deviation of 3.9. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 23 on the mathematics portion of the exam? Complete parts a) through d) below. a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho versus H,: N b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. O A. The sample data come from a population that is approximately normal. O B. The students were randomly sampled. OC. The students' test scores were independent of one another. O D. The sample size is larger than 30. OE. A boxplot of the sample data shows no outliers. O F. None of the requirements are satisfied. c) Use the P-value approach at the a= 0.05 level of significance to test the hypotheses in part (a). Identify the test statistic. to = (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) d) Write a conclusion based on the results. Choose the correct answer below. the null hypothesis and claim that there V sufficient evidence to conclude that the population mean is than 23.
A college entrance exam company determined that a score of 23 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core curriculum of math courses in high school. Suppose a random sample of 200 students who completed this core set of courses results in a mean math score of 23.4 on the college entrance exam with a standard deviation of 3.9. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 23 on the mathematics portion of the exam? Complete parts a) through d) below. a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho versus H,: N b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. O A. The sample data come from a population that is approximately normal. O B. The students were randomly sampled. OC. The students' test scores were independent of one another. O D. The sample size is larger than 30. OE. A boxplot of the sample data shows no outliers. O F. None of the requirements are satisfied. c) Use the P-value approach at the a= 0.05 level of significance to test the hypotheses in part (a). Identify the test statistic. to = (Round to two decimal places as needed.) Identify the P-value. P-value = (Round to three decimal places as needed.) d) Write a conclusion based on the results. Choose the correct answer below. the null hypothesis and claim that there V sufficient evidence to conclude that the population mean is than 23.
MATLAB: An Introduction with Applications
6th Edition
ISBN:9781119256830
Author:Amos Gilat
Publisher:Amos Gilat
Chapter1: Starting With Matlab
Section: Chapter Questions
Problem 1P
Related questions
Question
Transcribed Image Text:A college entrance exam company determined that a score of 23 on the mathematics portion of the exam suggests that a student is ready for college-level mathematics. To achieve this goal, the company recommends that students take a core
curriculum of math courses in high school. Suppose a random sample of 200 students who completed this core set of courses results in a mean math score of 23.4 on the college entrance exam with a standard deviation of 3.9. Do these results
suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 23 on the mathematics portion of the exam? Complete parts a) through d) below.
a) State the appropriate null and alternative hypotheses. Fill in the correct answers below.
The appropriate null and alternative hypotheses are H:
V versus H,
b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply.
O A. The sample data come from a population that is approximately normal.
O B. The students were randomly sampled.
OC. The students' test scores were independent of one another.
O D. The sample size is larger than 30.
O E. A boxplot of the sample data shows no outliers.
O F. None of the requirements are satisfied.
c) Use the P-value approach at the a = 0.05 level of significance to test the hypotheses in part (a).
Identify the test statistic.
to = (Round to two decimal places
needed.)
Identify the P-value.
P-value = (Round to three decimal places as needed.)
d) Write a conclusion based on the results. Choose the correct answer below.
V the null hypothesis and claim that there
V sufficient evidence to conclude that the population mean is
V than 23.
O Time Remaining: 01:57:16
Next
MacBook Pro
G Search or type URL
23
$
&
*
2
3
4
6
7
8
delete
Q
E
R
T
Y
P
tab
131
A
D
G
J
K
s lock
C
V
V
Expert Solution
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
This is a popular solution!
Trending now
This is a popular solution!
Step by step
Solved in 3 steps with 3 images
Recommended textbooks for you
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
MATLAB: An Introduction with Applications
Statistics
ISBN:
9781119256830
Author:
Amos Gilat
Publisher:
John Wiley & Sons Inc
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
ISBN:
9781305504912
Author:
Frederick J Gravetter, Larry B. Wallnau
Publisher:
Cengage Learning
Elementary Statistics: Picturing the World (7th E…
Statistics
ISBN:
9780134683416
Author:
Ron Larson, Betsy Farber
Publisher:
PEARSON
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
Statistics
ISBN:
9781319013387
Author:
David S. Moore, George P. McCabe, Bruce A. Craig
Publisher:
W. H. Freeman