Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.   please explain how to do it on calculator please

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Construct a confidence interval suitable for testing the claim that students taking nonproctored tests get a higher mean score than those taking proctored tests.

 

please explain how to do it on calculator please 

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
H1
H2
34
32
74.22
84.38
10.34
22.17
A. Ho: H1 = H2
B. Ho: H1 = H2
H1: H1 # H2
O C. Ho: H1 # H2
D. Ho: H1 = H2
H1: H1> H2
The test statistic, t, is - 2.36. (Round to two decimal places as needed.)
The P-value is 0.011. (Round to three decimal places as needed.)
State the conclusion for the test.
A. 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. 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.
C. 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 D. Reject Ho. There is not sufficient evidence to support the claim that students taking
proctored tests get a higher
SO
than those taking
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.
D< H1 - H2 <
(Round to two decimal places as needed.)
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. Proctored Nonproctored H1 H2 34 32 74.22 84.38 10.34 22.17 A. Ho: H1 = H2 B. Ho: H1 = H2 H1: H1 # H2 O C. Ho: H1 # H2 D. Ho: H1 = H2 H1: H1> H2 The test statistic, t, is - 2.36. (Round to two decimal places as needed.) The P-value is 0.011. (Round to three decimal places as needed.) State the conclusion for the test. A. 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. 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. C. 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 D. Reject Ho. There is not sufficient evidence to support the claim that students taking proctored tests get a higher SO than those taking 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. D< H1 - H2 < (Round to two decimal places as needed.)
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