Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right. Assuming equal variances, conduct the test Ho: (H1 -H2) =0 against H,: (H1 -H2) #0 using a = 0.10. Sample 1 Sample 2 n, = 17 n2 = 13 X1 = 5.3 X2 = 7.6 s, = 3.9 s2 = 4.7 Find the test statistic. The test statistic is (Round to two decimal places as needed.) Find the p-value. The p-value is. (Round to three decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Do not reject Ho. There is insufficient evidence that the means differ. O B. Do not reject Hn. There is sufficient evidence that the means differ. O C. Reject Ho. There is sufficient evidence that the means differ. O D. Reject Ho. There is insufficient evidence that the means differ.

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
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Section4.5: Correlation And Causation
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Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right.
Assuming equal variances, conduct the test Ho: (uy - H2) = 0 against Ha: (H1 - H2) #0 using a = 0.10.
Sample 1 Sample 2
n, = 17
n2 = 13
%3D
x, = 5.3 x, = 7.6
S, = 3.9
S2 = 4.7
...
Find the test statistic.
The test statistic is
(Round to two decimal places as needed.)
Find the p-value.
The p-value is
(Round to three decimal places as needed.)
State the conclusion. Choose the correct answer below.
O A. Do not reject Ho. There is insufficient evidence that the means differ.
O B. Do not reject Ho. There is sufficient evidence that the means differ.
O C. Reject Ho. There is sufficient evidence that the means differ.
O D. Reject Ho. There is insufficient evidence that the means differ.
Transcribed Image Text:Independent random samples selected from two normal populations produced the sample means and standard deviations shown to the right. Assuming equal variances, conduct the test Ho: (uy - H2) = 0 against Ha: (H1 - H2) #0 using a = 0.10. Sample 1 Sample 2 n, = 17 n2 = 13 %3D x, = 5.3 x, = 7.6 S, = 3.9 S2 = 4.7 ... Find the test statistic. The test statistic is (Round to two decimal places as needed.) Find the p-value. The p-value is (Round to three decimal places as needed.) State the conclusion. Choose the correct answer below. O A. Do not reject Ho. There is insufficient evidence that the means differ. O B. Do not reject Ho. There is sufficient evidence that the means differ. O C. Reject Ho. There is sufficient evidence that the means differ. O D. Reject Ho. There is insufficient evidence that the means differ.
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