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Perform the indicated operation for the following.$1.58 1 $15.63 1 $19.81 1 $.17

Contemporary Mathematics | 6th Edition | ISBN: 9780538481267 | Authors: Robert Brechner ISBN: 9780538481267 378

Solution for problem 15 Chapter CHAPTER 3

Contemporary Mathematics | 6th Edition

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Contemporary Mathematics | 6th Edition | ISBN: 9780538481267 | Authors: Robert Brechner

Contemporary Mathematics | 6th Edition

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Problem 15

Perform the indicated operation for the following.$1.58 1 $15.63 1 $19.81 1 $.17

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Step 1 of 3

STA 4202/5125/5206 Solution for Assignment # 1 Solution to Problem #1 (A) Assume equal variance; small sample sizes H 0 μ1– μ2= 0 H A μ1– μ2≠ 0 (two-sided) Pooled sample variance: (n1− 1 s 1 n − 2 s ) 2 (10 − 1 19.5 + 12 − 1 12.5 175.5 + 137.5 Sp = = = = 15.65 n1+ n 2 2 10 + 12 − 2 20 Sp = √15.65 = 3.956 Test Statistic: (̅1− ̅̅2 − D 0 (77.5 − 65.9 − 0 11.6 t0= = = = 6.848 Sp√ 1 + 1 √ 1 1 1.694 n1 n2 3.956 10 + 12 Degrees of Freedom: DF = n +1n –22 = 10 + 12 – 2 = 20 Rejection Region for α=0.01: We will reject the null hypothesis at 1% level of significance, when |t 0 > tα/2, df|t 0 > t0.005, 20 |t0| > 2.845 (from table in book) Since, |0 | =6.848 > 2.845  reject 0 P-Value: 2*P(t > t )  2*(P<0.0005)  P < 0.0001 (from table in book) df 0 [Using R] At α=0.01 level of significance, we reject the null hypothesis and conclude that the mean room temperatures that adults and children find most comfortable are different. 1 | P a g e (B) 99% C.I. on (1 – μ2)  α=0.01 1 1 1 1 (̅1− ̅y2̅ ± ∝ Sp √ + = 77.5 − 65.9 ± 2.845 3.596 )√ + = 11.6 ± 4.8 2,df n

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Chapter CHAPTER 3, Problem 15 is Solved
Step 3 of 3

Textbook: Contemporary Mathematics
Edition: 6
Author: Robert Brechner
ISBN: 9780538481267

This textbook survival guide was created for the textbook: Contemporary Mathematics, edition: 6. Since the solution to 15 from CHAPTER 3 chapter was answered, more than 238 students have viewed the full step-by-step answer. The answer to “Perform the indicated operation for the following.$1.58 1 $15.63 1 $19.81 1 $.17” is broken down into a number of easy to follow steps, and 13 words. The full step-by-step solution to problem: 15 from chapter: CHAPTER 3 was answered by , our top Statistics solution expert on 03/13/18, 06:38PM. Contemporary Mathematics was written by and is associated to the ISBN: 9780538481267. This full solution covers the following key subjects: . This expansive textbook survival guide covers 25 chapters, and 765 solutions.

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Perform the indicated operation for the following.$1.58 1 $15.63 1 $19.81 1 $.17