Suppose that the mean value of interpupillary distance (the distance between thepupils of the left and right eyes) for adult males is 65 mm and that the populationstandard deviation is 5 mm.a. If the distribution of interpupillary distance is normal and a random sample ofn = 25 adult males is to be selected, what is the probability that the sample meandistance x̄ for these 25 will be between 64 and 67 mm? at least 68 mm? (Hint: SeeExamples 8.5 and 8.6.)b. Suppose that a random sample of 100 adult males is to be obtained. Withoutassuming that interpupillary distance is normally distributed, what is theapproximate probability that the sample mean distance will be between 64 and67 mm? at least 68 mm?
Suppose that the
pupils of the left and right eyes) for adult males is 65 mm and that the population
standard deviation is 5 mm.
a. If the distribution of interpupillary distance is normal and a random sample of
n = 25 adult males is to be selected, what is the probability that the sample mean
distance x̄ for these 25 will be between 64 and 67 mm? at least 68 mm? (Hint: See
Examples 8.5 and 8.6.)
b. Suppose that a random sample of 100 adult males is to be obtained. Without
assuming that interpupillary distance is
approximate probability that the sample mean distance will be between 64 and
67 mm? at least 68 mm?
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