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 0.01 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? OA. Ho: H₁ H₂ H₁: Hy #H₂ OC. Ho: H₁ H₂2 H₁ H₁ H₂ (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) The test statistic, t, is OB. Ho: H₁ H¹₂ H₁: Hy

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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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. 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 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 not 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-H²₂<
(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 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 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 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 not 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-H²₂< (Round to two decimal places as needed.) Does the confidence interval support the conclusion of the test? ▼because the confidence interval contains
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 0.01 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?
OA. Ho: H₁ = ¹₂
H₁: H₁ H₂
OC. Ho: H₁ H₂
H₁: Hy <H₂
(Round to two decimal places as needed.)
The P-value is (Round to three decimal places as needed.)
C
The test statistic, t, is
OB. Ho: H₁ H₂
H₁ H₁ H₂
OD. Ho: ₁ = H₂
H₁: H₁> H₂
μ
n
S
Proctored Nonproctored
H₁
H₂
31
35
76.05
87.07
10.83
21.09
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 0.01 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? OA. Ho: H₁ = ¹₂ H₁: H₁ H₂ OC. Ho: H₁ H₂ H₁: Hy <H₂ (Round to two decimal places as needed.) The P-value is (Round to three decimal places as needed.) C The test statistic, t, is OB. Ho: H₁ H₂ H₁ H₁ H₂ OD. Ho: ₁ = H₂ H₁: H₁> H₂ μ n S Proctored Nonproctored H₁ H₂ 31 35 76.05 87.07 10.83 21.09
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