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
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Chapter10: Statistics
Section10.4: Distributions Of Data
Problem 19PFA
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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
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
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
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