a. Explanation The formula for n i is as follows: n i = [ N i s i N 1 s 1 + N 2 s 2 + N 3 s 3 ] m Where N i is the population of the i th sample, s i is the sample standard deviation of the i th sample, and m = n 1 + n 2 + n 3 . The size of the random sample n 1 is obtained below: n 1 = [ N 1 s 1 N 1 s 1 + N 2 s 2 + N 3 s 3 ] m = [ 1 , 525 ( 2.2 ) 1 , 525 ( 2.2 ) + 917 ( 1.4 ) + 2 , 890 ( 3.3 ) ] × 250 = [ 3 , 355 3 , 355 + 1 , 283.8 + 9 , 537 ] × 250 = 3 , 355 14 , 175.8 × 250 = 59.16 ≈ 59 Thus, the size of the random sample n 1 is 59. The size of the random sample n 2 is obtained below: n 2 = [ N 2 s 2 N 1 s 1 + N 2 s 2 + N 3 s 3 ] m = [ 917 ( 1 b. To determine Find the best estimate for the population mean.

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Chapter 3.2, Problem 29P

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Find the size of the random samples n1, n2, and n3.

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Find the best estimate for the population mean.

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Chapter 3.2, Problem 28P

Chapter 3.2, Problem 30P

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Find the size of the random samples n 1 , n 2 , and n 3 .

Solution Summary: The author calculates the size of the random samples n_1,

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Find the size of the random samples n1, n2, and n3.

Find the best estimate for the population mean.

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Chapter 3 Solutions