4. Suppose that in fact 8% of all adult men preferred Pepsi over Coke Pepsi is c

Question

4. Suppose that in fact 8% of all adult men preferred Pepsi over Coke Pepsi is concerned about this information and interviews a random sample of 1256 people from this population. In many such samples, the proportion p of the 1256 people in the sample who prefer Pepsi over Coke would vary according to (approximately) the distribution Movie Iron Man 3 Man of Steel Profit (S) Budget () Rating Oscar Nominated? Studio 409013994 200000000 78 291045518 225000000 56 We're The Millers 150394119 37000000 47 The Great Gatsby 144840419 190000000 49 American Hustle 144430111 40000000 93 122012486 40000000 75 116632095 30000000 73 107518682 100000000 64 101802906 190000000 71 95020213 40000000 78 54239856 17000000 62 12 Years A Slave 49208604 20000000 96 Buena Vista Warner Brothers Warner Brothers Warner Brothers Lone Survivor The Butler Epic Pacific Rim Universal Weinstien Warner Brothers Warner Brothers Sony Evil Dead Gangster Squad 46000903 60000000 32 42025135 38000000 58 Warner Brothers Universal Riddick Consider the data above for the following questions. (a) What is the population being studied? (b) Do you have data for the entire population or a sample? (c) Ifit is a sample, give the sample size? If not, write nothing. (d) How many quantitative variables are there? (e) What proportion of the individuals were not nominated for an Oscar? (1) What was the average profit?

Explanation / Answer

(4) Given that 8% of adult men preferred pespi over coke i.e p = 0.08

Now sample size = 1256

Sample proportion approximately follow approximately Normal distribution

(5)

(a) The population for movie being study

(b) The data is for sample

(c) Sample size = 14

(d) quantative variables = 3 i.e profit, budget, rating

(e) proportion = 9/14 = 64.29%

(f) average profit = Sum bof profit/7 = 249169291.6

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