On a typical Saturday night at a local bar in San Diego, about 62% of people order a drink that has tequila. We randomly select 250 people who go to this local bar. a) Find the mean and standard deviation. b) Can the normal approximation to the binomial be used? c) Fill in the blanks for the sampling distribution for the 250 people sampled, where X=number of people who order a drink that has tequila: X~AN(___________, _____________)
On a typical Saturday night at a local bar in San Diego, about 62% of people order a drink that has tequila. We randomly select 250 people who go to this local bar.
a) Find the mean and standard deviation.
b) Can the normal approximation to the binomial be used?
c) Fill in the blanks for the sampling distribution for the 250 people sampled, where X=number of people who order a drink that has tequila:
X~AN(___________, _____________)
d) Use the normal approximation to the binomial to find the probability that at most 163 people ordered a drink that has tequila. Round to 4 decimal places.
e) Fill in the blanks for the sampling distribution of the sample proportion of the 250 people sampled. Round to three decimal places.
p ~AN(___________, _____________)
f) Use the sampling distribution from part e to find the probability that between 60% and 64% of people order a drink that has tequila. Round to 4 decimal places.
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