The distribution of tips given by customers who buy one cup of coffee is bimodal with a mean of $0.29 and a standard deviation of $0.1164. If a random sample of 50 tips from customers who buy one cup of coffee is selected, is it appropriate to calculate the probability of a sample mean being more than $0.32 using an approximately Normal model? Yes, the population of all people who buy one cup of coffee is extremely large, so the shape of the sampling distribution of x is not a concern, and P(x> 32) = 0.0372. %3D Yes, since the sample size 50 is large enough, the sampling distribution for x would be approximately Normal, and P( x>32) = 0.0372. O Yes, since the sample size 50 is large enough, the sampling distribution for i would be approximately Normal, and P( x> 32) = 0.3983. O No, it is not appropriate to estimate the probability using an approximately Normal model because the population is not Normal, and the sample size is not reasonably large.

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The distribution of tips given by customers who buy one cup of coffee is bimodal with a mean of $0.29 and a standard
deviation of $0.1164. If a random sample of 50 tips from customers who buy one cup of coffee is selected, is it
appropriate to calculate the probability of a sample mean being more than $0.32 using an approximately Normal
model?
O Yes, the population of all people who buy one cup of coffee is extremely large, so the shape of the sampling
distribution of x is not a concern, and P(x> 32) = 0.0372.
%3D
Yes, since the sample size 50 is large enough, the sampling distribution for x would be approximately Normal, and P(
x>32) = 0.0372.
O Yes, since the sample size 50 is large enough, the sampling distribution for x would be approximately Normal, and P(
x> 32) = 0.3983.
O No, it is not appropriate to estimate the probability using an approximately Normal
not Normal, and the sample size is not reasonably large.
odel because the population is
Transcribed Image Text:The distribution of tips given by customers who buy one cup of coffee is bimodal with a mean of $0.29 and a standard deviation of $0.1164. If a random sample of 50 tips from customers who buy one cup of coffee is selected, is it appropriate to calculate the probability of a sample mean being more than $0.32 using an approximately Normal model? O Yes, the population of all people who buy one cup of coffee is extremely large, so the shape of the sampling distribution of x is not a concern, and P(x> 32) = 0.0372. %3D Yes, since the sample size 50 is large enough, the sampling distribution for x would be approximately Normal, and P( x>32) = 0.0372. O Yes, since the sample size 50 is large enough, the sampling distribution for x would be approximately Normal, and P( x> 32) = 0.3983. O No, it is not appropriate to estimate the probability using an approximately Normal not Normal, and the sample size is not reasonably large. odel because the population is
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