A company that packages salted and unsalted mixed nuts received a complaint that claimed that the company’s salted packages contain more whole cashews than their unsalted packages do. The quality control department investigated the claim by randomly selecting a sample of 45 of each type of package, counting the number of cashews in each package, and finding the mean and standard deviation for both types of packages. Which of the following are the correct null and alternative hypotheses to test the complaint’s claim, where μS is the mean number of cashews per package of salted nuts and μU is the mean number of cashews per package of unsalted nuts? A. H0 : mu1 - mu2 = 0; Ha : mu1 - mu2 = 0.
B. H0 : mu1 - mu2 = 0; Ha : mu1 - mu2 > 0.
C. H0 : mu1 - mu2 < 0; Ha : mu1 - mu2 > 0.
D. H0 : mu1 - mu2 = 0; Ha : mu1 - mu2 < 0.
E. H0 : mu1 - mu2 > 0; Ha : mu1 - mu2 = 0.

Step-by-step explanation:

Let the salted package be represented with 1 and the unsalted, 2.

So:

Mean of salted package

Mean of unsalted package

Considering the given options, the null hypothesis is that which contains =.

So, the null hypothesis is:

The opposite of = is . So, the alternate hypothesis, is that which contains

So, the alternate hypothesis is:

false

step-by-step explanation:

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!