Anormally distributed quality characteristic is monitored throughuse of an x bar and r chart. these charts have the followingparameters n=4

x barchart r chart

ucl=626 ucl=18.795

center line=620 center line =8.236

lcl=614 lcl=0

both charts exhibit control.

a) what is the estimated standard deviation of the process?

b) suppose an s chart were to be substituted for the r chart. whatwould be the appropriate parameters of the s chart?

c) if specifications on theproduct were 610 +/- 15, what would be your estimate of the processfraction nonconforming?

d) what could be done to reduce this fraction nonconforming?

e) what is the probability of detecting a shift in the process mean to610 on the first sample following the shift (sigma remainsconstant)?

f) what is the probability ofdetecting a shift in part (e) by at least the third sample afterthe shift occurs?

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

~

5

step-by-step explanation:

in geometry, parallel lines are lines in a plane which do not meet; that is, two lines in a plane that do not intersect or touch each other at any point are said to be parallel. by extension, a line and a plane, or two planes, in three-dimensional euclidean space that do not share a point are said to be parallel.