Consider a manufacturer's claim that bricks produced by a new and more efficient process have a mean compressive strength greater than 50.0 (measured in units of 100 pounds per square inch) Bricks that do not meet this standard are considered nonconforming and will not be used by the customer. From past experience, it is known that the mean compressive strength of bricks is normally distributed with a standard deviation of 6. The bricks will not be accepted unless we can be reasonably sure that the mean is greater than 50.0. A random sample of nine bricks is taken. (a) State the appropriate null and alternative hypotheses
(b) Suppose we use the rejection region>53) to test the null hypothesis. Compute the Type I
(c) Compute the Type II error probability at the alternative u-55. Depict the Type I error from part
(d) Compute the Type II error probability at the alternative u 52. Depict the Type I error from part
(e) Find the new critical value (in terms of x) such that the corresponding test has significance level error probability for the test. Depict the Type I error graphically (b) and the Type II error graphically (b) and the Type II error graphically of 0.05. Depict this new significance level and the new critical value graphically

answer: e 9, 5.75

step-by-step explanation:

step 1

find the variation ab in the x coordinate

delta x=(x2-x1)=10-> 8 units

find the variation ab  in the y coordinate 

delta y=(y2-y1)=6-> 2 units

step 2

find the coordinates point c

  x coordinate 

cx=ax+delta x*2/> cx=2+8*(2/> cx=3

  y coordinate 

cy=ay+delta y*2/> cy=4+2*(2/> cy=4.25

the coordinates of point c are (3,4.25)

step 3

find the coordinates point d

  x  coordinate 

dx=ax+delta x*4/> dx=2+8*(4/> dx=4

  y  coordinate 

dy=ay+delta y*4/> dy=4+2*(4/> dy=4.5

the coordinates of point d are (4, 4.5)

step 4

find the coordinates point e

  x  coordinate 

ex=ax+delta x*4/> ex=2+8*(6/> ex=5

  y  coordinate 

ey=ay+delta y*4/> ey=4+2*(6/> ey=4.75

the coordinates of point e are (5, 4.75)

step 5

find the coordinates point f

  x  coordinate 

fx=ax+delta x*4/> fx=2+8*(8/> fx=6

  y  coordinate 

fy=ay+delta y*4/> fy=4+2*(8/> fy=5

the coordinates of point f are (6,5)

step 6

find the coordinates point g

  x  coordinate 

gx=ax+delta x*4/> gx=2+8*(10/> gx=7

  y  coordinate 

gy=ay+delta y*4/> gy=4+2*(10/> gy=5.25

the coordinates of point g are (7,5.25)

step 7

find the coordinates point h

  x  coordinate 

hx=ax+delta x*4/> hx=2+8*(12/> hx=8

  y  coordinate 

hy=ay+delta y*4/> hy=4+2*(12/> hy=5.5

the coordinates of point h are (8,5.5)

step 8

find the coordinates point i

  x  coordinate 

ix=ax+delta x*4/> ix=2+8*(14/> ix=9

  y  coordinate 

iy=ay+delta y*4/> iy=4+2*(14/> iy=5.75

the coordinates of point i are (9,5.75)

- r3ktforgood ☕