a.
22.5-20.6 = 1.9
b.
Degrees of freedom = smaller of (n1 - 1 , n2 - 1 ) = smaller of (9 , 29) = 9
c.
tα/2 = 2.26211
MOE = √ (s₁)²/n₁ + (s₂)²/n₂ = √1.4253333333333336 = 1.2
d.
Lower Bound = (x̄₁ - x̄₂) - tα/2•(√ (s₁)²/n₁ + (s₂)²/n₂
) = (22.5 - 20.6) - (2.26211)(1.193873248436924) =
-0.800672614
Upper Bound = (x̄₁ + x̄₂) + tα/2•(√ (s₁)²/n₁ + (s₂)²/n₂
) = (22.5 - 20.6) + (2.26211)(1.193873248436924) =
4.600672614
Confidence Interval = (-0.8, 4.6)
the following results for independent random samples taken from two populations. Sample 1 Sample 2 n1-10...
Consider the following results for independent random samples taken from two populations. Sample 1 Sample 2 n1= 20 n2 = 40 x1= 22.1 x2= 20.6 s1= 2.9 s2 = 4.3 a. What is the point estimate of the difference between the two population means (to 1 decimal)? b. What is the degrees of freedom for the t distribution (round down)? c. At 95% confidence, what is the margin of error (to 1 decimal)? d. What is the 95% confidence interval...
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onsider the following results for independent samples taken from two populations. Sample 1 Sample 2 n1 = 500 n2= 300 p1= 0.48 p2= 0.31 a. What is the point estimate of the difference between the two population proportions (to 2 decimals)? b. Develop a 90% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table. to c. Develop a 95% confidence interval for the difference between the two population proportions (to 4 decimals). Use z-table....
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