A recent survey described the sleep time of college

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A recent survey described the sleep time of college students as normally distributed with a standard deviation of 1.15 hours and a mean of 7.02 hours. Suppose we wish t take a simple random sample of size 81 from the population of college students and examine the sleep time. Let X be he vector of 81 observation and let X ( x ahd bar on top) be the sample mean and s the sample standard deviation.

a) About what should be calculated sample mean of X be?

b) About what should be calculated sample standard deviation of X be?

c) What is the standard deviation of distribution of X ? ( x has bar on top)

d) About how many of the 81 students sleep less than 6 hours?

e) About how many of the 81 students sleeo between 6.52 and 7.52 hours.

f) What is the probability that X is below 6.9 hours? ( x has bar on top)

Reference no: EM13628951

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