Question: 1.A confidence interval for ( 1 2 ) is (5, 8). Which of the following inferences is correct? a . 1 < 2 b .

1.A confidence interval for (1 2 ) is (5, 8). Which of the following inferences is correct?

a. 1 <2

b. 1 2

c. 1 > 2

d. 1 = 2

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2.Independent random samples selected from two normally-distributed populations produced the following sample statistics:

Sample1 Sample 2

n1 = 14 n2 = 11

x 1= 7.1 x 2 = 8.4

s 1= 2.3 s 2= 2.9

Find the margin of error E for the 95% confidence interval constructed to estimate .

Round your answer to one decimal place

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3.Independent random samples from two different populations yield the following statistics:

1= 236 2= 905

s1 = 88s2 = 13

The sample size is 381 for both samples.

Find the 80% confidence interval for1 2

a. -675 < 1- 2< -663

b. -668 < 1- 2< -655

c. -677 < 1- 2< -670

d. -670 < 1- 2< -668

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4.A sample of prices of 60 televisions sold by store A yielded a mean of $397.37, and standard deviation $50.45. A sample of prices of 89 televisions sold by store B yielded a mean of $417.93, and standard deviation $32.31. Find the value of the test statistic.

Round your answer to three decimal places.

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