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The City College of New York, CUNY-EE 311 SUMMER 2014

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SECTION A: Compulsory Questions QUESTION 1 The following table lists the running times (in minutes) of the DVD versions of 22 movies directed by Alfred Hitchcock: Film Time Film Time The Birds 11... 9 Dial M for Murder 105 Family Plot 120 Foreign Correspondent 120 Frenzy 116 I Confess 108 The Man Who Knew Too Much 121 Marnie 130 North by Northwest 136 Notorious 103 The Paradise Cane 115 Psycho 108 Rear Window 113 Rebecca 132 Rope 81 Shadow of a Doubt 108 Spellbound 111 Strangers on a Train 101 To Catch a Thief 103 Topaz 126 Under Capricorn 117 Vertigo 128 (i) Display the running times of the movies using a stem-and-leaf plot. [2 marks] (ii) Calculate the median and the quartiles of the running time data and determine whether the data set contains any outliers. [3 marks] (iii) Use a box-and-whisker plot to display the data set. [2 marks] (iv) Comment on the skewness of the data, using at least two different measures of skewness. [2 marks] [Total: 9 marks] QUESTION 2 A test for detecting the presence of cardiac overstrain syndrome has a 95% probability of producing a positive result when the disease is present, but also a 3% probability of a positive result when the disease is absent. It is estimated that 8% of the population suffer from cardiac overstrain syndrome. (i) (a) Of those subjects whose tests give a positive result, what proportion suffer from cardiac overstrain syndrome? (b) Of those subjects whose tests give a negative result, what proportion suffer from cardiac overstrain syndrome? [3 marks] (ii) The test is carried out on 150 randomly selected subjects. 21 of the subjects return a positive result, 129 negative. (a) Test whether the observed numbers of positive and negative test results agree with the assumption that 8% of the population suffe [Show More]

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