A 1.
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1. Some Suggested Problems In Chapter 1 and the Beginning of Chapter 2 Chapter 1 1 2 So that you can compare your answers with others use the following intervals categories classes 500 5 650 5 3050 5 3200 5 Begin by completing the table below Some intervals contain no observations Class Boundaries Frequency Relative Frequency 1 500 5 650 5 1 0 02 2 1 0 02 3 3 0 06 1 5 Additional part d How many students in interval 1 85 2 45 1 7 Use the Empirical Rule throughout Answer to c 81 5 approximately 1 9 Clue for a If 5 then the summation becomes c c c c c Se 1 10 The computation for the variance can be done easily with just pencil and paper 1 467 If you have a calculator that has a STAT mode or a key labeled DATA or then you can probably find standard deviations automatically consult the calculator s user manual The formula for the variance in 9 c is programmed into such calculators using one memory each to accumulate the values of n Xx and Ex As a demonstration here is R code Figure out what each function does gt x lt c 1 4 2 1 3 3 gt mean x 1 2 333333 gt var x 1 1 466667 gt sqrt var x 1 1 211060 gt sqrt sum x 2 1 length x sum x 2 length x 1 1 1 211060 1 11 Partial answer to a E y 62 622 y 86 027 202 also see back of book Partial answer to b Frequencies are 45 48 49 respectively also see back of bo2. ok Additional part c Repeat everything omitting the two largest observations which greatly inflate s For a try R Similar code to above Begin with x lt 964 3168 1385 Of course you ll have to fill in the 47 values at For c erase two of the 50 elements Beginning of Chapter 2 2 1 Partial answer A FF C A B FM MF 2 5 Partial answer A M M gt M M3 M2M3 B 4 AM B A 2 11 2 13 2 15 Answers in back of book For 2 15 here are two highly recommended ways of working such a problem First make a Venn diagram Inside the region for the sample space S you should have four regions corresponding to ANB ASAB ANB and ASOB AUB where A Shaft defect B Bushing defect and stands for complementation written with an overbar in the text Label each region with its proportion How do these regions correspond to parts a d Second make a 2 by 2 table such as shown in Exercise 2 12 Use row headings Shaft defect Yes and NO column headings Bushing defect Yes and No Enter proportions into the four cells of the table How do the proportions in the cells correspond to proportions in the Venn diagram how do they correspond to answers for parts a d Additional question for 2 15 Restrict attention to consider only assemblies with bushing defects What proportion of these also have shaft defects Answer 1 4 How obtained Comment
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