AnswersProbability and Statistics with Applications Honors Sem-2-FL-1210300 2024-2025Unit Test — Unit testQuestion 13
13
QuizMultiple Choice
Unit Test — Unit test
Question 13 • Probability and Statistics with Applications Honors Sem-2-FL-1210300 (2024-2025)
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?
Answer
A
Yes, the population of all people who buy one cup of coffee is extremely large, so the shape of the sampling distribution of is not a concern, and P(> 32) = 0.0372.
B
Yes, since the sample size 50 is large enough, the sampling distribution for would be approximately Normal, and P(>32) = 0.0372.C
Yes, since the sample size 50 is large enough, the sampling distribution for would be approximately Normal, and P(> 32) = 0.3983.D
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.