The time spent studying (in hours) for the final exam by students in a certain university has unknown mean u and standard deviation 8 hours. A random sample of 4 students was taken to guess the mean study time of all students in the university. What is the (approximate) probability that the sample mean X differs from the population mean u by more than 4 hours? That is, approximate P(|X-μ> 4).

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The time spent studying (in hours) for the final exam by students in a certain
university has unknown mean μ and standard deviation 8 hours. A random sample
of 4 students was taken to guess the mean study time of all students in the
university. What is the (approximate) probability that the sample mean X differs
from the population mean by more than 4 hours? That is, approximate
P(|X-μ| > 4).
Transcribed Image Text:The time spent studying (in hours) for the final exam by students in a certain university has unknown mean μ and standard deviation 8 hours. A random sample of 4 students was taken to guess the mean study time of all students in the university. What is the (approximate) probability that the sample mean X differs from the population mean by more than 4 hours? That is, approximate P(|X-μ| > 4).
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