courses results in a mean math score of 22.6 on the college entrance exam with a standard deviation of 3.2. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 22 on the math portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are Ho: ▼ versus H₁: b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. A. The sample size is larger than 30. B. The students were randomly sampled. C. The students' test scores were independent of one another. D. None of the requirements are satisfied. c) Use the classical approach at the α = 0.05 level of significance to find the critical value and test the hypotheses. Identify the test statistic. to = (Round to two decimal places as needed)

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
100%

d. reject/do not reject 

  is/is not

less/greater 

c) Use the classical approach at the α = 0.05 level of significance to find the critical value and test the hypotheses. Identify the test statistic.
(Round to two decimal places as needed.)
Identify the critical value. Select the correct choice below and fill in the answer box within your choice.
Round to two decimal places as needed.)
O A. ta/2=
OB. t=
to =
d) Write a conclusion based on the results. Choose the correct answer below.
▼the null hypothesis and claim that there
▼sufficient evidence to conclude that the population mean is
than 22.
Transcribed Image Text:c) Use the classical approach at the α = 0.05 level of significance to find the critical value and test the hypotheses. Identify the test statistic. (Round to two decimal places as needed.) Identify the critical value. Select the correct choice below and fill in the answer box within your choice. Round to two decimal places as needed.) O A. ta/2= OB. t= to = d) Write a conclusion based on the results. Choose the correct answer below. ▼the null hypothesis and claim that there ▼sufficient evidence to conclude that the population mean is than 22.
A college entrance exam company determined that a score of 22 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 150 students who completed this core set of
courses results in a mean math score of 22.6 on the college entrance exam with a standard deviation of 3.2. Do these results suggest that students who complete the core curriculum
are ready for college-level mathematics? That is, are they scoring above 22 on the math portion of the exam? Complete parts a) through d) below.
Click the icon to view the table of critical t-values.
C
a) State the appropriate null and alternative hypotheses. Fill in the correct answers below.
The appropriate null and alternative hypotheses are H₂:
versus H.:
b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply.
▼
A. The sample size is larger than 30.
B. The students were randomly sampled.
C. The students' test scores were independent of one another.
D. None of the requirements are satisfied.
c) Use the classical approach at the α = 0.05 level of significance to find the critical value and test the hypotheses. Identify the test statistic.
to = (Round to two decimal places as needed)
Transcribed Image Text:A college entrance exam company determined that a score of 22 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 150 students who completed this core set of courses results in a mean math score of 22.6 on the college entrance exam with a standard deviation of 3.2. Do these results suggest that students who complete the core curriculum are ready for college-level mathematics? That is, are they scoring above 22 on the math portion of the exam? Complete parts a) through d) below. Click the icon to view the table of critical t-values. C a) State the appropriate null and alternative hypotheses. Fill in the correct answers below. The appropriate null and alternative hypotheses are H₂: versus H.: b) Verify that the requirements to perform the test using the t-distribution are satisfied. Check all that apply. ▼ A. The sample size is larger than 30. B. The students were randomly sampled. C. The students' test scores were independent of one another. D. None of the requirements are satisfied. c) Use the classical approach at the α = 0.05 level of significance to find the critical value and test the hypotheses. Identify the test statistic. to = (Round to two decimal places as needed)
Expert Solution
steps

Step by step

Solved in 2 steps with 1 images

Blurred answer
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