$(10)6$i$.$ The table below describes a single$-$factor ANOVA experiment involving $I=4$ types

of boxes were compared with respect to compression strength.

$(9)$ a$)$ Complete the following single$-$factor ANOVA table for this experiment below:

$(1)$ b$)$ Is there statistical significance between at least $2$ treatment means at $=0\mathrm{.}05?$

$(10)6$ii$.$ Suppose that a random sample is being drawn from the population of executives

known to have a mean age of $30$ with a standard deviation of $3$ years. The population is

normally distributed.

$(5)$ a$)$ What is the probability that a randomly selected executive will be over $35$ years

of age?

$(5)$ b$)$ What is the probability, in a sample of $365$ executives, that the mean age will

exceed $35$ years?