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(Solved): Test the claim about the difference between two population means 1 and 2 at the level of sig ...



Test the claim about the difference between two population means

?1

and

?2

at the level of significance

?.

Assume the samples are random and? independent, and the populations are normally distributed.?Claim:

?1=?2?;

?=0.01

Population? parameters:

?1=3.3?,

?2=1.4

Sample? statistics:

x1=16?,

n1=28?,

x2=18?,

n2=26

Question content area bottom

Part 1

Determine the alternative hypothesis.

Ha?:

?1

?

 

less than<

greater than or equals?

greater than>

not equals?

less than or equals?

?2

Part 2

Determine the standardized test statistic.

z=enter your response here

?(Round to two decimal places as? needed.)

Part 3

Determine the? P-value.

?P-value=enter your response here

?(Round to three decimal places as? needed.)

Part 4

What is the proper? decision?

 

A.Fail to reject

H0.

There is not enough evidence at the

1?%

level of significance to reject the claim.

 

B.Reject

H0.

There is enough evidence at the

1?%

level of significance to reject the claim.

 

C.Fail to reject

H0.

There is enough evidence at the

1?%

level of significance to reject the claim.

 

D.Reject

H0.

There is not enough evidence at the

1?%

level of significance to reject the claim.



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Given data: Test the claim about difference between two population means ?1and?2 level of significance ?=0.01 Standard deviation 1 : ?1=3.3 Standard d
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