Question

# The following results are for independent random samples taken from two populations. Sample 1 Sample 2...

The following results are for independent random samples taken from two populations.

Sample 1 Sample 2

n1 = 20

n2 = 30

x1 = 22.8

x2 = 20.1

s1 = 2.6

s2 = 4.6

(a)

What is the point estimate of the difference between the two population means? (Use

x1 − x2.

)

(b)

What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.)

(c)

At 95% confidence, what is the margin of error? (Round your answer to one decimal place.)

(d)

What is the 95% confidence interval for the difference between the two population means? (Use

x1 − x2.

to

(A) The point estimate of is 22.8-20.1=2.7

(B) For unequal variace DF : 47 (C) 2.0522

Standard error of difference is criticat value of t (D) 95% Confidence Interval for the Difference ( 0.644 , 4.756 )
Confidence Interval of is = 2.7 ± (2.01 * 1.0214) = 2.7 ± 2.0522

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