Consider the data presented in the example used to illustrate the hot deck method. Impute the missing values for MMSE using the hot deck method as used in that example with the following modification. Assume that the individuals with missing values will, in general, have lower MMSEs than those who had measured values on this variable. To take this into consideration, use as an imputed value 80% of the value taken from the hot deck method.

How does the resulting estimated mean and its standard error compare with that obtained from the hot deck method without this modification?