Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether u, >2 at the a = 0.10 level of significance for the given sample data. Population 1 25 50.5 4.5 Population 2 (b) Construct a 95% confidence interval about u,- 2 47 8 12.9 (a) Identify the null and alternative hypotheses for this test. O A. Ho H1 H2 H: H1 = H2 O B. Ho Hi H2 H P2 OF Ho Hi =H2 O D. Ho: H1=42 O E. Ho Hi =H2 H, P F2 Find the test statistic for this hypothesis test. O (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) State the conclusion for this hypothesis test. O A. Reject Ho. There is sufficient evidence at the a=0.10 level of significance to conclude that u, > 2 O B. Do not reject Ho. There is not sufficient evidence at thea 0.10 level of significance to conclude that u, >2 O G. Do not reject H. There is sufficient evidence at the a 0.10 level of significance to conclude that u

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Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed.
(a) Test whether p,> P2 at the a= 0.10 level of significance for the given sample data.
(b) Construct a 95% confidence interval about u, - H2.
Population 1 Population 2
25
50.5
45
18
47.8
12.9
(a) Identify the null and alternative hypotheses for this test.
O A. Ho H1 #H2
O B. Ho H1 <2
O C. Ho: H>H2
O D. Ho: H1=H2
O E. Ho H1=H2
OF. Hoi Hi =H2
H:H1<H2
H, > H2
Find the test statistic for this hypothesis test.
(Round to two decimal places as needed.)
Determine the P-value for this hypothesis test.
(Round to three decimal places as needed.)
State the conclusion for this hypothesis test.
O A. Reject Ho There is sufficient evidence at the a = 0.10 level of significance to conclude that u, > H2
O B. Do not reject Ho. There is not sufficient evidence at the a = 0.10 level of significance to conclude that u > H2
O C. Do not reject Ho. There is sufficient evidence at the a= 0.10 level of significance to conclude that u, > H2
O D. Reject Ho. There is not sufficient evidence at the a= 0.10 level of significance to conclude that u, >2
(b) The 95% confidence interval about u, -2 is the range from a lower bound of to an upper bound of
(Round to three decimal places as needed.)
Transcribed Image Text:Question Help Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether p,> P2 at the a= 0.10 level of significance for the given sample data. (b) Construct a 95% confidence interval about u, - H2. Population 1 Population 2 25 50.5 45 18 47.8 12.9 (a) Identify the null and alternative hypotheses for this test. O A. Ho H1 #H2 O B. Ho H1 <2 O C. Ho: H>H2 O D. Ho: H1=H2 O E. Ho H1=H2 OF. Hoi Hi =H2 H:H1<H2 H, > H2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.) Determine the P-value for this hypothesis test. (Round to three decimal places as needed.) State the conclusion for this hypothesis test. O A. Reject Ho There is sufficient evidence at the a = 0.10 level of significance to conclude that u, > H2 O B. Do not reject Ho. There is not sufficient evidence at the a = 0.10 level of significance to conclude that u > H2 O C. Do not reject Ho. There is sufficient evidence at the a= 0.10 level of significance to conclude that u, > H2 O D. Reject Ho. There is not sufficient evidence at the a= 0.10 level of significance to conclude that u, >2 (b) The 95% confidence interval about u, -2 is the range from a lower bound of to an upper bound of (Round to three decimal places as needed.)
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