Solve the question below and show all steps: In a random sampleof 28 female students at a college, it was discovered that each ofthem possessed multiple hand bags. The number of hand bagspossessed by each of the 28 female students is listed as follows: 44 3 3 3 6 4 2 2 2 1 3 3 3 3 4 4 3 2 8 2 2 3 4 3 3 4 2
a. Find the mean and standard deviation for the sample dataset.
b. Form the interval, ?̅±2s
c. According to Chebychev’s rule, what proportion of sampleobservations will fall within the interval in part b?
d. According to the Empirical Rule, what proportion of sampleobservations will fall within the interval in part b?
e. Determine the actual proportion of sample observations thatfall within the interval in part b. Does the Empirical Rule providea good estimate of the proportion?
