Rosters chicken advertises "lite" chicken with 30% fewer calories than standard chicken. when the process for "lite" chicken breast production is in control, the average chicken breast contains 400 calories, and the standard deviation in caloric content of the chicken breast population is 30 calories. rosters wants to design an x overbar-chart to monitor the caloric content of chicken breasts, where 25 chicken breasts would be chosen at random to form each sample. a) what are the lower and upper control limits for this chart if these limits are chosen to be four standard deviations from the target? upper control limit (ucl subscript x overbar)equals nothing calories (enter your response as an integer).

UCL (x bar) =  424

LCL (x bar) =  376

Step-by-step explanation:

Given:

Average calories contained, μ = 400

Standard deviation, σ  = 30 calories

Sample size, n = 25

a) UCL (x bar) =

On substituting the respective values, we get

UCL (x bar) =

or

UCL (x bar) =  424

Similarly,

LCL (x bar) =  

On substituting the respective values, we get

LCL (x bar) =

or

LCL (x bar) =  376

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°