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##### Misc. Seven Stats Problems

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solution

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Question;1. A survey of the number of calls received by a sample of;Southern Phone Company subscribers last week revealed the following;information.;52 43 30 38 30 42 12 46 39 37 34 46 32 18 41 5;a) Develop a stem-and-leaf chart. Above for tips on;presenting Stem-Leaf plot.;b) What basic conclusions can be drawn from this chart?;c) Compute the 5 number System for this data set and list;Xmin,Q1,Q2,Q3 & Xmax. See Videos and show how the pointer was computed for;each quartile.;(15%);2. For the following table, what is the value of;a) P(A1);b) P(B1?A2);c) P(B2 and A3). Compute this as P(B2)*P(A3? B2). Rows are B1 & B2: columns are A1, A2;A3.;What are the values of P(B2), P(A3|B2) and P(B2&A3)?;In what row and column will you find this answer?;Second Event;First Event;A1 A2 A3 Total;B1 2 1 3 6;B2 1 2 1 4;Total 3 3 4 10;(15 pnts.);3. The chart below gives the percentage of counties in the US that use;various methods for recording votes in 1980 & 2002. Set up side-by-side bar;charts by year using the instruction for Side-By-Side Charts in the Class Notes;Conference. Copy/Paste your Chart into the TFE Editor from EXCEL.;METHOD 1980 2002;Punch cards 18.5 15.5;Lever machines 36.7 10.6;Paper ballots 40.7 10.5;Optical scan 0.8 43.0;Electronic 0.2 16.3;Mixed 3.1 4.1;(15 pnts.);4. The following are a sample of the weights of nine jars of;peanut butter.;7.69 7.72 7.80 7.86 7.90 7.94 7.97 8.06 8.09;a) Compute the median weight.;b) Compute the standard deviation of the sample using the;shortcut formula. Show the formula and values for each term and compute the;answer. Use the TFE Equation Editor.;c) Compute the 5 Number System for this data. Just list the;values as Xmin=xxx, Q1=xxx,Q2=xxxx,Q3=xxxxx, Xmax = xxxx.;d) Are there outliers? An outlier value is defined as;unusually large or small according to the expressions: Answer yes or no.;Outlier > Q3 + 1.5(Q3-Q1) or;Outlier < Q1-1.5(Q3-Q1);(15 pnts.);5. Answer questions a. through f. of 3.23 below.;Show work for part f. only.;(15 pnts.);6. Compute the mean and standard deviation for the data in;the table below. State your assumptions and show all calculations. See Video-;Mean & Variance for Grouped Data in Videos ?Topics In Stat 230(1);conference.;Distance Frequency;0 to 5;5 to 10;10 to 15;15 to 20;20 to 25 4;15;27;18;6;(10%);7. A box contains 3 red balls and 4 green balls. If two;balls are randomly selected in sequence, what is the possibility that a red;ball and a green ball are picked out of the box. State the rule for P(A&B);and then substitute the values and compute the answer.

Paper#61863 | Written in 18-Jul-2015

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