In: Statistics and Probability
Among a random group of 36 students, the average time spent
daily on telephone calls was found to
be 20 minutes. Assuming that the amount of time spent daily on
telephone calls by a student is a
random variable with distribution N(µ; 25), calculate the
confidence interval for the mean duration,
assuming a confidence level of 0.88. How many students should be
interrogated, in order to obtain a
confidence interval for the mean of length not exceeding 2, with a
confidence level of 0.99?