2. Suppose it is claimed that amongst the population of STM1001 students, the number of items bought online in the past year is normally distributed with a mean of u 20 and variance of o2 = 25. Further suppose that we wish to study the mean of the population by taking a random sample of n = 61 STM 1001 students. Using this information, write down the distribution of the sample mean Y N 3. Following on from the previous question, what is the probability tha when we take a random sample of n = 61 STM1001 students, the sample mean would be greater than 20.3521?

A First Course in Probability (10th Edition)
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Author:Sheldon Ross
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Chapter1: Combinatorial Analysis
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2. Suppose it is claimed that amongst the population of STM1001
students, the number of items bought online in the past year is normally
distributed with a mean of μ = 20 and variance of o² = 25. Further
suppose that we wish to study the mean of the population by taking a
random sample of n = 61 STM1001 students. Using this information,
write down the distribution of the sample mean YN
3. Following on from the previous question, what is the probability tha
when we take a random sample of n 61 STM1001 students, the
sample mean would be greater than 20.3521?
5. A
What
known that
Transcribed Image Text:2. Suppose it is claimed that amongst the population of STM1001 students, the number of items bought online in the past year is normally distributed with a mean of μ = 20 and variance of o² = 25. Further suppose that we wish to study the mean of the population by taking a random sample of n = 61 STM1001 students. Using this information, write down the distribution of the sample mean YN 3. Following on from the previous question, what is the probability tha when we take a random sample of n 61 STM1001 students, the sample mean would be greater than 20.3521? 5. A What known that
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