Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether u1 > H2 at the ¤ = 0.05 level of significance for the given sample data. (b) Construct a 95% confidence interval about u - 42. Population 1 28 Population 2 16 50.8 45.8 6.4 11.5

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Population 1
28
Population 2
Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed.
(a) Test whether u, > Hz at the a = 0.05 level of significance for the given sample data.
16
(b) Construct a 95% confidence interval about u1 - u2.
50.8
45.8
6.4
11.5
(a) Identify the null and alternative hypotheses for this test.
O A. Ho: H1 =H2
H1: H1 #H2
O B. Ho: H1>H2
H1: 41 = H2
O C. Ho: H1 <H2
H1: H1 = H2
O D. Ho: H1 # H2
H1: H1 = H2
VE. Ho: H1 = H2
H1: H1 > H2
O F. Ho: H1 = H2
H1: H1 <H2
Find the test statistic for this hypothesis test.
(Round to two decimal places as needed.)
Transcribed Image Text:Population 1 28 Population 2 Use the given statistics to complete parts (a) and (b). Assume that the populations are normally distributed. (a) Test whether u, > Hz at the a = 0.05 level of significance for the given sample data. 16 (b) Construct a 95% confidence interval about u1 - u2. 50.8 45.8 6.4 11.5 (a) Identify the null and alternative hypotheses for this test. O A. Ho: H1 =H2 H1: H1 #H2 O B. Ho: H1>H2 H1: 41 = H2 O C. Ho: H1 <H2 H1: H1 = H2 O D. Ho: H1 # H2 H1: H1 = H2 VE. Ho: H1 = H2 H1: H1 > H2 O F. Ho: H1 = H2 H1: H1 <H2 Find the test statistic for this hypothesis test. (Round to two decimal places as needed.)
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