1as part of a promotion for a new type of cracker


1. As part of a promotion for a new type of cracker, free samples are offered to shoppers in a local supermarket. The probability that a shopper will buy a packet of crackers after tasting the free sample is 0.200. Different shoppers can be regarded as independent trials. Let be the proportion of the next n shoppers that buy a packet of the crackers after tasting a free sample. How large should n be so that the standard deviation of is no more than 0.01?

A. 4
B. 16
C. 1600

2. Suppose that the random variable X has a distribution with a density curve that looks like the following.

440_Find the standard deviation and sampling distribution.gif

The sampling distribution of the mean of a random sample of 100 observations from this distribution will have a density curve that looks most like which of the following?

A. 384_Find the standard deviation and sampling distribution1.gif

B. 2258_Find the standard deviation and sampling distribution2.gif

C. 780_Find the standard deviation and sampling distribution3.gif

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