I’m having a problem with this question:
Record shows that the students in a certain university has mean IQ of 115 with a standard deviation of 10. A research conducted on 30 students showed a mean IQ of 110. What is the probability that the sample of 30 students will have a mean IQ less than 115?
Our class came up with 3 different answers:
They computed this using 110 as the population mean. [(115-110) / (10/√30)] then z-table.
They computed this using 115 as the population mean then 110 as the random variable. [(110-115) / (10/√30)] then z-table.
They computed this using 115 as the population mean then 115 as the random variable. [(115-115) / (10/√30)] then z-table.
In the end, our class accepted A as the answer but I’m not convinced. What are your thoughts about this?
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