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. Proctored Nonproctored μ μ1 μ2 n 32 33 x 75.91 88.05 s 10.92 18.37 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? A. H0: μ1=μ2 H1: μ1≠μ2 B. H0: μ1=μ2 H1: μ1>μ2 C. H0: μ1≠μ2 H1: μ1<μ2 D. H0: μ1=μ2 H1: μ1<μ2 The test statistic, t, is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) State the conclusion for the test. A. Fail to reject H0. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. B. Reject H0. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. C. Fail to reject H0. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. D. Reject H0. 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. nothing<μ1−μ2
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. Proctored Nonproctored μ μ1 μ2 n 32 33 x 75.91 88.05 s 10.92 18.37 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? A. H0: μ1=μ2 H1: μ1≠μ2 B. H0: μ1=μ2 H1: μ1>μ2 C. H0: μ1≠μ2 H1: μ1<μ2 D. H0: μ1=μ2 H1: μ1<μ2 The test statistic, t, is nothing. (Round to two decimal places as needed.) The P-value is nothing. (Round to three decimal places as needed.) State the conclusion for the test. A. Fail to reject H0. There is sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. B. Reject H0. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. C. Fail to reject H0. There is not sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests. D. Reject H0. 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. nothing<μ1−μ2
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter10: Statistics
Section10.5: Comparing Sets Of Data
Problem 13PPS
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Topic Video
Question
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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.
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Proctored
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Nonproctored
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μ
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μ1
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μ2
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n
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32
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33
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x
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75.91
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88.05
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s
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10.92
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18.37
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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?
H0:
μ1=μ2
H1:
μ1≠μ2
H0:
μ1=μ2
H1:
μ1>μ2
H0:
μ1≠μ2
H1:
μ1<μ2
H0:
μ1=μ2
H1:
μ1<μ2
The test statistic, t, is
nothing.
(Round to two decimal places as needed.)The P-value is
nothing.
(Round to three decimal places as needed.)State the conclusion for the test.
Fail to reject
H0.
There
is
sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.Reject
H0.
There
is not
sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.Fail to reject
H0.
There
is not
sufficient evidence to support the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.Reject
H0.
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.
nothing<μ1−μ2<nothing
(Round to two decimal places as needed.)
Does the confidence interval support the conclusion of the test?
▼
Yes,
No,
▼
only positive values.
only negative values.
zero.
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