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. Use a 0.05 significance level for both parts. a. 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? О А. Но: 141 > 12 H₁ HH₂ OC. Ho: H₁ H₂ H₁: H₁ H₂ The test statistic, t, is (Round to two decimal places as needed.) OB. Ho: 12₂ 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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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. Use a 0.05 significance
level for both parts.
a. 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: H₁ H₂
OC. Ho: H₁ H₂
H₁ 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.
OB. Ho: 12₂
H₁: 1 <H₂
OD. Ho: H1 H2
H₁: H₁ H₂
ar
n
Proctored Nonproctored
H1
35
X 74.73
S
10.97
H₂
30
88.25
19.05
OA. 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.
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. Use a 0.05 significance level for both parts. a. 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: H₁ H₂ OC. Ho: H₁ H₂ H₁ 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. OB. Ho: 12₂ H₁: 1 <H₂ OD. Ho: H1 H2 H₁: H₁ H₂ ar n Proctored Nonproctored H1 35 X 74.73 S 10.97 H₂ 30 88.25 19.05 OA. 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.
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. Use a 0.05 significance
level for both parts.
H₁: Hy > 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.
H₁: H₁ H₂
H
C
n
X
sx
S
Proctored Nonproctored
H₂
30
88.25
19.05
H1
35
74.73
10.97
O A. 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. 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.
OC. 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.
OD. 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.
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. Use a 0.05 significance level for both parts. H₁: Hy > 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. H₁: H₁ H₂ H C n X sx S Proctored Nonproctored H₂ 30 88.25 19.05 H1 35 74.73 10.97 O A. 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. 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. OC. 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. OD. 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.
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