A headline in a certain newspaper states that"most stay at first job less than 2years." That headline is based on an online poll of 360 college graduates. Among thosepolled, 72% stayed at their firstfull-time job less than 2 years. Complete parts(a) through(d).

a. Assuming that50% is the true percentage of graduates who stay at their first job less than twoyears, find the mean and standard deviation of the numbers of such graduates in randomly selected groups of 360 graduates.

The mean is___graduates. (Do notround.)

The standard deviation is____graduates.

(Round to one decimal place asneeded.)

b. Assuming that the50% rate in part(a) iscorrect, find the range of usual values for the numbers of graduates among 360 who stay at their first job less than two years.

The numbers of graduates among 360 who stay at their first job less than two years should usually fall between__and__.

(Use ascending order. Round to one decimal place asneeded.)

c. Find the actual number of surveyed graduates who stayed at their first job less than two years. Use the range of values from part(b) to determine whether that number is unusual. Does the result suggest that the headline is notjustified?

The actual number of surveyed graduates who stayed at their first job less than two years is___.

(Round to the nearest whole number asneeded.)

Is the actual number of surveyed graduates who stayed at their first job less than two yearsunusual?

A.

Since the actual number is outside of the range of usual values found in part(b), it is unusual.

B.

Since the actual number is outside of the range of usual values found in part(b), it is not unusual.

C.

Since the actual number is inside of the range of usual values found in part(b), it is unusual.

D.

Since the actual number is inside of the range of usual values found in part(b), it is not unusual.