State the conclusion for the test. O A. Fail to reject Ho. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. O B. Reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. O C. Reject Ho. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. O D. Fail to reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. b. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
State the conclusion for the test. O A. Fail to reject Ho. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. O B. Reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. O C. Reject Ho. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. O D. Fail to reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. b. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
Related questions
Question
urgent
![A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples
selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.
a. Use a 0.05 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
What are the null and alternative hypotheses?
OA. Ho: ₁ = H₂
H₁ H₁ H₂
OC. Ho: H₁ H₂
H₁: Hy > H₂
The test statistic, t, is
The P-value is
(Round to two decimal places as needed.)
(Round to three decimal places as needed
OB. Ho: H₁ H₂
H₁: H₁ H₂
OD. Ho: H₁ H₂
H₁: H₁ <H₂
Proctored Nonproctored
H₁
H₂
n
31
35
76.35
X
82.27
S 10.75
18.49
11](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e5ba9e2-fa50-4379-82c7-40e4cdb6753c%2F21c6ab1d-8afd-45c3-a347-dc18a892443f%2Fbimmipj_processed.png&w=3840&q=75)
Transcribed Image Text:A study was done on proctored and nonproctored tests. The results are shown in the table. Assume that the two samples are independent simple random samples
selected from normally distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below.
a. Use a 0.05 significance level to test the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
What are the null and alternative hypotheses?
OA. Ho: ₁ = H₂
H₁ H₁ H₂
OC. Ho: H₁ H₂
H₁: Hy > H₂
The test statistic, t, is
The P-value is
(Round to two decimal places as needed.)
(Round to three decimal places as needed
OB. Ho: H₁ H₂
H₁: H₁ H₂
OD. Ho: H₁ H₂
H₁: H₁ <H₂
Proctored Nonproctored
H₁
H₂
n
31
35
76.35
X
82.27
S 10.75
18.49
11
![State the conclusion for the test.
O A. Fail to reject Ho. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
O B. Reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
O C. Reject Ho. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
O D. Fail to reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
b. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
<H₁-H₂ <
(Round to two decimal places as needed.)
Does the confidence interval support the conclusion of the test?
▼because the confidence interval contains](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F6e5ba9e2-fa50-4379-82c7-40e4cdb6753c%2F21c6ab1d-8afd-45c3-a347-dc18a892443f%2Fd8kdbtm_processed.png&w=3840&q=75)
Transcribed Image Text:State the conclusion for the test.
O A. Fail to reject Ho. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
O B. Reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
O C. Reject Ho. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
O D. Fail to reject Ho. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
b. Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.
<H₁-H₂ <
(Round to two decimal places as needed.)
Does the confidence interval support the conclusion of the test?
▼because the confidence interval contains
Expert Solution
![](/static/compass_v2/shared-icons/check-mark.png)
This question has been solved!
Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.
Step by step
Solved in 2 steps with 3 images
![Blurred answer](/static/compass_v2/solution-images/blurred-answer.jpg)
Recommended textbooks for you
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill
![Glencoe Algebra 1, Student Edition, 9780079039897…](https://www.bartleby.com/isbn_cover_images/9780079039897/9780079039897_smallCoverImage.jpg)
Glencoe Algebra 1, Student Edition, 9780079039897…
Algebra
ISBN:
9780079039897
Author:
Carter
Publisher:
McGraw Hill