# Use the given statistics to complete parts​ (a) and​ (b). Assume that the populations are normally distributed.​(a) Test whethermu 1μ1greater than>mu 2μ2at thealphaαequals=0.01level of significance for the given sample data.​(b) Construct a99​%confidence interval aboutmu 1μ1minus−mu 2μ2.  Population 1Population 2 n2425x overbarx50.845.9s4.311.4​(a) Identify the null and alternative hypotheses for this test.  A.H0​:mu 1μ1greater than>mu 2μ2H1​:mu 1μ1equals=mu 2μ2 B.H0​:mu 1μ1equals=mu 2μ2H1​:mu 1μ1less than<mu 2μ2 C.H0​:mu 1μ1less than<mu 2μ2H1​:mu 1μ1equals=mu 2μ2 D.H0​:mu 1μ1not equals≠mu 2μ2H1​:mu 1μ1equals=mu 2μ2 E.H0​:mu 1μ1equals=mu 2μ2H1​:mu 1μ1greater than>mu 2μ2 F.H0​:mu 1μ1equals=mu 2μ2H1​:mu 1μ1not equals≠mu 2μ2 Find the test statistic for this hypothesis test.  ​(Round to two decimal places as​ needed.)

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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 mu 1μ1greater than>mu 2μ2 at the alphaαequals=0.01 level of significance for the given sample data. ​(b) Construct a 99​% confidence interval about mu 1μ1minus−mu 2μ2. 24 25 50.8 45.9 4.3 11.4
​(a) Identify the null and alternative hypotheses for this test.

A.
H0​:
mu 1μ1greater than>mu 2μ2
H1​:
mu 1μ1equals=mu 2μ2

B.
H0​:
mu 1μ1equals=mu 2μ2
H1​:
mu 1μ1less than<mu 2μ2

C.
H0​:
mu 1μ1less than<mu 2μ2
H1​:
mu 1μ1equals=mu 2μ2

D.
H0​:
mu 1μ1not equals≠mu 2μ2
H1​:
mu 1μ1equals=mu 2μ2

E.
H0​:
mu 1μ1equals=mu 2μ2
H1​:
mu 1μ1greater than>mu 2μ2

F.
H0​:
mu 1μ1equals=mu 2μ2
H1​:
mu 1μ1not equals≠mu 2μ2

Find the test statistic for this hypothesis test.

​(Round to two decimal places as​ needed.)
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Step 1

The provided information are:

Step 2

(a)

The null and alternative hypotheses are:

Step 3

Hence, the correct option is (E).

The alternative hypothesis suggests that the t... help_outlineImage Transcriptioncloseт -х, - (4 - м,) 1 = 1 п, п, where ( -1)s + (п, -1)5, п+п, -2 с8 fullscreen

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