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 4 students was taken to guess the mean study time of all students in the universit What is the (approximate) probability that the sample mean X differs from the population mean µ by less than 4 hours? That is, approximate P(|X – µ| < 4). (Hin Recall that |x|sa means that –a < x < a.)

MATLAB: An Introduction with Applications
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Author:Amos Gilat
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Provide all necessary solutions to arrive at the needed answer for each problem. Do not forget to provide proper interpretations for resulting measures and/or tests conducted.
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 µ by less than 4 hours? That is, approximate P(|X – µ| < 4). (Hint:
Recall that |x|<a means that –a < x < a.)
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 µ by less than 4 hours? That is, approximate P(|X – µ| < 4). (Hint: Recall that |x|<a means that –a < x < a.)
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