Numbers of hours spent watching television by students in the week before final exams have a normal

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Numbers of hours spent watching television by students in the week before final exams have a normal distribution with standard deviation 4.5 hours. A random sample of thirty students was taken.

(a) Is the probability more than .95 that the sample standard deviation exceeds 3.5 hours?

(b) Is the probability more than .95 that the sample standard deviation is less than 6 hours?

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