What is the difference between parameters and statistics? 2. Does statistical process control inspect all the items produced after they are finished? 3. The inspector samples five circuit boards at regular intervals and finds the mean solder quality score x for these five boards. Do we expect x to be exactly 100 if the soldering process is functioning properly? 4. If the quality of individual boards varies according to a normal distribution with mean µ = 100 and standard deviation σ = 4 , what will be the distribution of the sample averages, x ? (Recall the sample size is n = 5.) 5. In general, is the mean of several observations more or less variable than single observations from a population? Explain. 6. The distribution of call lengths to a call center is strongly skewed. What does the Central Limit Theorem say about the distribution of the mean call length x from large samples of calls?

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0

ok , let me start from the meaning of word translation .

translation means moving an object by a certain distance in any direction.

the nature of the object i.e shape, size does not change. neither the figure is

reflected, nor rotated.

as δ abc is translated, it is not given it is translated in which direction

so,(2,-7) lies in fourth quadrant.

if translation of t units is applied to the coordinates of b (2,-7) i.e x in right direction,and y in up   then new coordinates, b'=(2+t, -7+t)

if translation of t units is applied to the coordinates of b(2,-7) i.e x in right direction,and y in down   then new coordinates, b'=(2+t, -7-t)

if translation of t units is applied to the coordinates of b(2,-7) i.e x in left direction,and y in up   then new coordinates, b'=(2-t, -7+t)

if translation of t units is applied to the coordinates of b(2,-7) i.e x in left direction,and y in down   then new coordinates, b'=(2-t, -7-t)