1. A manager believes that the average delivery time exceeds 30 minutes. The manager has randomly selected 19 customers and delivered to their homes with the mean of 32 minutes and standard deviation of 5.2 minutes. Given that α=0.10. What is the correct conclusion?
2. A dean want to estimate the drop rate of a class during the first week of the quarter. He randomly selected a sample of 300 students and 27 dropped the class during the first week of the quarter. What is the 99% confidence interval of the true drop rate?
3. A researcher claims that a person uses less than 65 tissues during a cold. Suppose a sample of 50 people was selected with a mean of 60 tissues and standard deviation of 16 tissues during a cold. Given that α=0.05. Is there sufficient evidence to indicate that a person uses less than 65 tissues during a cold?
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