Population 1 Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether µ, >H2 at the a= 0.01 level of significance for the given sample data. Population 16 28 (b) Construct a 90% confidence interval about H, -H 45.3 43.2 6.7 9.7 (a) Identify the null and alternative hypotheses for this test. O A. Ho: H > H2 O B. Ho: H =H2 OC. Hg: H1 =H2 O D. Ho: H1 = P2 O E. Ho: Hi #H2 OF. Hg: H H- O B. Do not reject H,. There is not sufficient evidence at the a= 0.01 level of significance to conclude that p, >H2- OC. Do not reject H,. There is sufficient evidence at the a= 0.01 level of significance to conclude that u, >H O D. Reject Hg. There is not sufficient evidence at the a= 0.01 level of significance to conclude that p, >H2.

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Population 1
Population 2
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed.
(a) Test whether H, > H, at the a = 0.01 level of significance for the given sample data.
(b) Construct a 90% confidence interval about u, -H2.
28
16
45.3
43.2
9.7
6.7
(a) Identify the null and alternative hypotheses for this test.
O A. Ho: H1 > H2
O B. H: H1 =H2
OC. Hg: H1 = H2
H;: H1 # H2
O F. Ho: H1 <H2
O D. Ho: H1 =H2
H,: H, <H2
O E. Ho: H1 H2
H,: =P2
H,: 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 H,- There is sufficient evidence at the a = 0.01 level of significance to conclude that p, > H2.
O B. Do not reject Hg. There is not sufficient evidence at the a = 0.01 level of significance to conclude that u, > H2.
O C. Do not reject H,. There is sufficient evidence at the a= 0.01 level of significance to conclude that u, > H2-
O D. Reject Hn. There is not sufficient evidence at the a= 0.01 level of significance to conclude that u, > H2-
(b) The 90% confidence interval about u, - H, is the range from a lower bound of
to an upper bound of
(Round to three decimal places as needed.)
Transcribed Image Text:Population 1 Population 2 Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether H, > H, at the a = 0.01 level of significance for the given sample data. (b) Construct a 90% confidence interval about u, -H2. 28 16 45.3 43.2 9.7 6.7 (a) Identify the null and alternative hypotheses for this test. O A. Ho: H1 > H2 O B. H: H1 =H2 OC. Hg: H1 = H2 H;: H1 # H2 O F. Ho: H1 <H2 O D. Ho: H1 =H2 H,: H, <H2 O E. Ho: H1 H2 H,: =P2 H,: 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 H,- There is sufficient evidence at the a = 0.01 level of significance to conclude that p, > H2. O B. Do not reject Hg. There is not sufficient evidence at the a = 0.01 level of significance to conclude that u, > H2. O C. Do not reject H,. There is sufficient evidence at the a= 0.01 level of significance to conclude that u, > H2- O D. Reject Hn. There is not sufficient evidence at the a= 0.01 level of significance to conclude that u, > H2- (b) The 90% confidence interval about u, - H, is the range from a lower bound of to an upper bound of (Round to three decimal places as needed.)
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