A random sample of 25 fields of spring wheat has a mean yield of 27.6 bushels per acre and standard deviation of 5.69 bushels per acre. Determine the 98% confidence interval for the true mean yield. Assume the population is approximately normal. Step 1 of 2:Find the critical value that should be used in constructing the confidence interval. Round your answer to three decimal places. Step 2 of 2:Construct the 98% confidence interval. Round your answer to one decimal place.

Step 1     z(c) = 2,323

CI = (  25 ;  30,2 )

Step-by-step explanation:

Normal Distribution:

Sample size  n = 25

Sample mean   μ  = 27,6

Sample standard deviation  s = 5,69

CI = 98 %   then  α  = 1 - 0,98     α = 0,02    α/2  = 0,01

From z-table we don´t  find z (score) for 0,01   directly, we need to interpolate between z = 2,32   and z = 2,33

For   0,0099           z score   is    2,33

for    0,0102            z score   is    2,32

Δ      0,0003                                  0,01

Then   by rule of three

for Δ        0,0003                ⇒      0,01

for Δ   (0,01- 0,0102)          ⇒        x

0,0003    0,01

0,0002      x

x = 0,0067

then  z (score for 0,01)   =  2,33 - 0,0067     z(c) = 2,3233

round to three decimal places z(c) = 2,323

Step 2:

CI =   μ  ±  z(c) * s/√n    ⇒   27,6  ± (2,323 * 5,69)/5

CI =  27,6 ± 2,6436

round to one decimal place

CI = 27,6 ± 2,6

CI = (  25 ;  30,2 )

i hope this is what you were looking for.

see attached graph

a.   we have two

lines:   y = 4-x   and  

y = 8-x^-1

given two simultaneous equations that are both to be

true, then the solution is the points where the lines cross. the intersection is

where the two equations are equal. therefore the solution that works for both

equations is when

4-x = 8-x^-1

this is where the two lines will cross and that is the

common point that satisfies both equations.

b.   4-x = 8-x^-1

  x           4-x       8-x^-1

-3           7        

8.33

-2           6         8.5

-1           5         9

  0           4        

-

  1           3        

7

  2           2        

7.5

  3           1         7.67

the table shows that none of the x values from -3 to 3 is

the solution because in no case does

4-x = 8-x^-1

to find the solution we need to rearrange the equation to

find for x:

4-x = 8-x^-1

multiply both sides with x:

4x-x^2 = 8x-1

x^2+4x-1=0

x= -4.236, 0.236

therefore there are two points that satisfies the

equation.

find y:  

x=-4.236

y = 4-x   = 4 – (-4.236)

= 8.236

y = 8-x^-1 =   .236)^-1

= 8.236

x=0.236

  y = 4-x   = 4 – (0.236) = 3.764

y = 8-x^-1 =   8-(0.236)^-1

= 3.764

thus the two lines cross at 2 points:

(-4.236, 8.236) & (0.236, 3.764)

c.   to solve

graphically the equation 4-x = 8-x^-1

we would graph both lines: y = 4-x   and   y

= 8-x^-1

the point on the graph where the lines cross is the

solution to the system of equations.

just graph the points on part b on a cartesian coordinate

system and extend the two lines.   the

solution is, as stated, the point where the two lines cross on the graph.

step-by-step explanation:

mark brainliest!