oooo vodafon.. 4G 12:35 AM moodle.cqu.edu.au Question 12 Which of the ollowing i
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oooo vodafon.. 4G 12:35 AM moodle.cqu.edu.au Question 12 Which of the ollowing is a correct statement about the sampling disibut of (a) The mean of the sampling distribution is always equal so the pegulaton (b) The means of all the samples are equl (c) The standard drv ation ofthe samplmg ástributins is always population standard deviation divided by the square root ofn d) The shape of the sampling distribution is always appeoximalcly omal (e) None of the above are correct statements Question 13 An investor wants to buy a chain of supermarkcts. Before the deal islsee inveslor wants to have sotne assurance that the chain of superturkcts wlicoea1 moncy maker. The management of the chain of supermarkets claims thait each ses profits have an approumately normal distribution with the same mean and a nhrd deviat on of SI 2 000 Ifthe management ofthe dain of super arkets scomat wh he probability that in a sample of nine supermarkets, the averape prode wi fal wi 2000 of the actual mean () 0.3830 (b) 04772 (c) 0.0456 d) 00912 (e) Unknown, since n 30 Question 14 The auditor for a larpe bank in Australia knows that the monthly halance of any p customer is $112 en average and the standand deviation is 536 If the banlk sellects 49 accounts, what is the peobability that the sample average monthly halance is btwee $100 and S130 ) 0079 (b) 09878 (c) 0921 d 09333 e) Cannot be detiqrmined unless the monthly halance of any givencomr accou is normally distributedExplanation / Answer
13)
A is the right option
Stdev = 12000
Xbar- Pop.Mean = 0 ( given in the question -"same mean")
Sample size, n = 9
P(|X-Mu| <= 2000) <= ?
P( |X-Mu|/(Stdev/sqrt(n))) = P( Z<= 2000/(12000/sqrt(9))) = P(Z<=.5) = ?
We have a look at the Z tables, P(|Z|<=.5) = 2*(.6915-.5) = .383
a. .3830 is the right anwer.
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