In each case, determine whether the sample sizes are large

Chapter 8, Problem 45E

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QUESTION:

Problem 45E

In each case, determine whether the sample sizes are large enough to conclude that the sampling distribution of  is approximately normal.

a. n 1 = 12, n2 = 14,  = .42,  = .57

b. n 1 = 12, n2 = 14,  = .92, = .86

c. n 1 = n2 = 30,  = .70,  = .73

d. n 1 = 100, n2 = 250,  = .93,  = .97

e. n 1 = 125, n2 = 200,  = .08,  = .12

Questions & Answers

QUESTION:

Problem 45E

In each case, determine whether the sample sizes are large enough to conclude that the sampling distribution of  is approximately normal.

a. n 1 = 12, n2 = 14,  = .42,  = .57

b. n 1 = 12, n2 = 14,  = .92, = .86

c. n 1 = n2 = 30,  = .70,  = .73

d. n 1 = 100, n2 = 250,  = .93,  = .97

e. n 1 = 125, n2 = 200,  = .08,  = .12

ANSWER:

Step 1 of 6

We know that, for large samples, the sampling distribution of  is approximately normal. A sample size is considered large if both

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