The ages of job applicants for a security guard position are uniformly distributed between 25 and 65. Could a 25-year-old job applicant be two standard deviations below the mean (or more than two standard deviations)?
A)Yes.
B)No.
C)Impossible to determine from given information.

Question

Quizplus · Accepted Answer

Since the distribution is uniform, the mean and standard deviation can be calculated as follows:
Mean = (25+65)/2 = 45
Standard Deviation = (65-25)/sqrt(12) = 13.42
Therefore, two standard deviations below the mean would be:

45 - 2(13.42) = 18.16

Since 18.16 is less than the minimum value of 25, a 25-year-old job applicant cannot be two standard deviations below the mean, or more than two standard deviations below the mean. Therefore, the answer is (B) No.

The Ages of Job Applicants for a Security Guard Position