|Proctored Nonproctored H2 4. 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 normallyu distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. 33 35 77.62 82.32 10.09 21.96 a. Use a 0.01 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? O A. Ho: H1 = H2 O B. Ho: H1 = H2 H1: 41 H2 D. Ho: H1 H2 Z > t:H . (Round to two decimal places as needed.) The test statistic, t, is The P-value is (Round to three decimal places as needed.) State the conclusion for the test. O A. 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. O B. 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 C. Reject Hn. 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. 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.
|Proctored Nonproctored H2 4. 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 normallyu distributed populations, and do not assume that the population standard deviations are equal. Complete parts (a) and (b) below. 33 35 77.62 82.32 10.09 21.96 a. Use a 0.01 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? O A. Ho: H1 = H2 O B. Ho: H1 = H2 H1: 41 H2 D. Ho: H1 H2 Z > t:H . (Round to two decimal places as needed.) The test statistic, t, is The P-value is (Round to three decimal places as needed.) State the conclusion for the test. O A. 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. O B. 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 C. Reject Hn. 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. 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.
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
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Transcribed Image Text:Proctored Nonproctored
4.
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.
35
33
77.62
82.32
10.09
21.96
a. Use a 0.01 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?
O A. Ho: H1 = H2
O B. Ho: H1 = H2
O D. Ho: H1 #H2
H1: H1 < H2
OC. Ho: H1 =H2
H: H1> H2
The test statistic, t, is
(Round to two decimal places as needed.)
The P-value is
(Round to three decimal places as needed.)
State the conclusion for the test.
O A. 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.
O B. 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 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. 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.
(Round to two decimal places as needed.)
Does the confidence interval support the conclusion of the test?
(1).
because the confidence interval contains (2)
(1) O Yes,
(2) O only positive values.
O No,
zero.
O only negative values.
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