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Consider making an inference about p1p2, where there are x1 successes in n1 bino

ID: 3056905 • Letter: C

Question

Consider making an inference about p1p2, where there are x1 successes in n1 binomial trials and x2 successes in n2

binomial trials.

a.

Describe the distributions of x1 and x2.

b.

Explain why the Central Limit Theorem is important in finding an approximate distribution for left parenthesis ModifyingAbove p with caret 1 minus ModifyingAbove p with caret 2 right parenthesis .for p1p2.

a. Choose the correct distributions below.

x1 has a(normal /poisson/ binomial) distribution and   x2 has a (binomial/normal/poisson) distribution.

b. Choose the correct explanation below.

A. The sampling distribution of   left parenthesis ModifyingAbove p with caret 1 minus ModifyingAbove p with caret 2 right parenthesis overbarp1p2

is approximately normal for large samples.

B. The sampling distribution of left parenthesis ModifyingAbove p with caret 1 minus ModifyingAbove p with caret 2 right parenthesis overbarp1p2

is skewed for large samples.

C. The sampling distribution of   left parenthesis ModifyingAbove p with caret 1 minus ModifyingAbove p with caret 2 right parenthesis overbarp1p2

remains the same for large samples

a.

Describe the distributions of x1 and x2.

b.

Explain why the Central Limit Theorem is important in finding an approximate distribution for left parenthesis ModifyingAbove p with caret 1 minus ModifyingAbove p with caret 2 right parenthesis .for p1p2.

a. Choose the correct distributions below.

x1 has a(normal /poisson/ binomial) distribution and   x2 has a (binomial/normal/poisson) distribution.

b. Choose the correct explanation below.

A. The sampling distribution of   left parenthesis ModifyingAbove p with caret 1 minus ModifyingAbove p with caret 2 right parenthesis overbarp1p2

is approximately normal for large samples.

B. The sampling distribution of left parenthesis ModifyingAbove p with caret 1 minus ModifyingAbove p with caret 2 right parenthesis overbarp1p2

is skewed for large samples.

C. The sampling distribution of   left parenthesis ModifyingAbove p with caret 1 minus ModifyingAbove p with caret 2 right parenthesis overbarp1p2

remains the same for large samples

Explanation / Answer

(a)

x1 has a binomial distribution and   x2 has a binomial distribution.

(b)

A. The sampling distribution of   left parenthesis ModifyingAbove p with caret 1 minus ModifyingAbove p with caret 2 right parenthesis overbarp1p2 is approximately normal for large samples.

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