T1 sol - The standard deviation of the combined section 37...

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Solution to Tutorial Set 1 Part B 1. F 2. T 3. T 4. T 5. F Part C 1. d 2. b c Part D 1. Section 1 Section 2 Combine Section 1 & 2 Number of students 120 100 220 Mean 80 75 77.72727 Median 77 72 X Mode 78 72 X Range 50 45 52 Minimum 43 50 43 Mean Absolute Deviation 10 8 X Sample Standard Deviation 12 10 11.389 The new mean = [120(80) + 100(75) ] / 220 = 77.727 The total sum of squares in section 1 = 122(119) +120(80)2 = 785136 The total sum of squares in section 2 = 102(99) +100(75)2 = 572400 Total sum of squares of the combined section = 785136 + 572400 =1357536
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Unformatted text preview: The standard deviation of the combined section 37 . 11 219 ) 73 . 77 ( 220 1357536 2 = − = 2. Let A and B be the event that A- Employee favors a buyout B- Employee will retire within the next 15 years (a) P( A ) = 0.382 (b) P( B ) = 0.379 (c) P( A|B ) = 0.55 Since P( A | B ) ≠ P( A ), the two events A and B are dependent. In other words, an employee’s attitude towards the buyout is dependent on his or her retirement plan...
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This note was uploaded on 02/14/2012 for the course ISOM isom111111 taught by Professor Hong during the Spring '11 term at HKUST.

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