16 Consider the variable X time required for a college student to compete a stan

Question

16 Consider the variable X time required for a college student to compete a standardized exam. Suppose that for the population of students at a particular university, the distribution of X is well approximated by al curve with mean 45 minutes and standard deviation 5 minutes. How much time should be allowed for the exan if we wanted 90% of the students taking the test to be able to finish in the allotted time? Show work, give value to 2 decimal places (with units) .Assume that the number of students who visit CCIT in a day is distrihuted n n Rai

Explanation / Answer

Mean = 45

Sd = 5

P(X < x) = 0.9

Or, P(Z < (x - 45)/5) = 0.9

Or, (x - 45)/5 = 1.28

Or, x = 45 + 1.28 * 5

Or, x = 51.40 minutes (ans)

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