$26.$ What is the forecast for November using a three$-$month weighted moving average with weights of $\mathrm{.}5,3$ and $\mathrm{.}2(\mathrm{.}5-$most recent, $2-$ oldest$)?$

Month

June

July

August

September

October

Demand

$900$

$700$

$600$

$500$

$300$

a$.$ b$.$

C$.$

d$.$

$510$

$420$

$300$

$180$

Use this info for the following questions:

Sample

$1$

$2$

$3$

$4$

$5$

$6$

$79\mathrm{.}2$

$80\mathrm{.}5$

$79\mathrm{.}6$

$78\mathrm{.}9$

$80\mathrm{.}5$

$79\mathrm{.}7$

$80\mathrm{.}6$

$78\mathrm{.}8$

$78\mathrm{.}7$

$79\mathrm{.}6$

$79\mathrm{.}4$

$79\mathrm{.}6$

$80\mathrm{.}4$

$80\mathrm{.}5$

$80\mathrm{.}0$

$81\mathrm{.}0$

$80\mathrm{.}4$

$79\mathrm{.}7$

$80\mathrm{.}0$

$78\mathrm{.}4$

$80\mathrm{.}4$

$80\mathrm{.}3$

$79\mathrm{.}4$

$80\mathrm{.}8$

$81\mathrm{.}1$

$81\mathrm{.}0$

$80\mathrm{.}1$

$80\mathrm{.}8$

$80\mathrm{.}6$

$78\mathrm{.}8$

Mean

Range

Upper Control Limit $($UCL$)=*+$ A$2$R

Lower Control Limit $($LCL$)=$ x $-$ A$2$R

n $=5,42=58,$ D$3=0$; D$4=2\mathrm{.}11$

$27.$ What is x$-$double bar for these samples? a$.$

b$.$

C$.$

d$.$

$80\mathrm{.}38$

$80\mathrm{.}14$

$79\mathrm{.}56$

$79\mathrm{.}96$

$28.$ What is the Range in Sample $4?$ a$.$ b$.$

C$.$

d$.$

$2\mathrm{.}0$

$1\mathrm{.}4$

$1\mathrm{.}7$

$2\mathrm{.}3$

$29.$ What is the Upper Control Limit of the Mean Chart? a$.$

$79\mathrm{.}93$

$81\mathrm{.}04$

$.$

$80\mathrm{.}14$

d$.79\mathrm{.}48$

$30.$ What is the Lower Control Limit of the R Chart? a$.$

$3\mathrm{.}94$

b$.$

$\mathrm{.}19$

C$.$

$0\mathrm{.}0$

d$.2\mathrm{.}11"$