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Business / Statistics for Business and Economics 12 / Chapter 8 / Problem 91SE

Statistics for Business and Economics | 12th Edition | ISBN: 9780321826237 | Authors: James T. McClave, P. George Benson, Terry T Sincich

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QUESTION:

Problem 91SE

Independent random samples were selected from two normally distributed populations with means m1 and m2, respectively. The sample sizes, means, and variances are shown in the following table:

a. Test H0: (μ1 – μ2) = 0 against Ha: (μ1 – μ2)> 0. Use α = .05.

b. Form a 99% confidence interval for (μ1 – μ2).

c. How large must n1 and n2 be if you wish to estimate (μ1 – μ2)to within two units with 99% confidence? Assume that n1 = n2.

Sample 1

Sample 2

n1 = 12

= 17.8

s21 = 74.2

n2 = 14

= 15.3

s22= 60.5

Questions & Answers

QUESTION:

Problem 91SE

Independent random samples were selected from two normally distributed populations with means m1 and m2, respectively. The sample sizes, means, and variances are shown in the following table:

a. Test H0: (μ1 – μ2) = 0 against Ha: (μ1 – μ2)> 0. Use α = .05.

b. Form a 99% confidence interval for (μ1 – μ2).

c. How large must n1 and n2 be if you wish to estimate (μ1 – μ2)to within two units with 99% confidence? Assume that n1 = n2.

Sample 1

Sample 2

n1 = 12

= 17.8

s21 = 74.2

n2 = 14

= 15.3

s22= 60.5

ANSWER:

Step 1 of 5

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