Waiting times (in minutes) of customers in a bank where all customers enter a single waiting line and a bank where customers wait in individual lines at three different teller windows are listed below. find the mean and median for each of the twosamples, then compare the two sets of results.

single line: 6.5 6.6 6.7 6.8 7.0 7.3 7.6 7.8 7.8 7.8

individual lines: 4.2 5.2 5.9 6.3 6.5 7.8 7.8 8.7 9.4 10.1

the mean waiting time for customers in a single line is _ minutes.

the median waiting time for customers in a single line is _minutes.

the mean waiting time for customers in individual lines is _minutes.

the median waiting time for customers in individual lines is _minutes.

determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of center. if so, what is it?

a. the times for customers in individual lines are much more varied than the times for customers in a single line.

b. the times for customers in a single line are much more varied than the times for customers in individual lines.

c. there is no difference between the two data sets.

C.There is no difference between the two data sets.

Step-by-step explanation:

using the calculation of mean = sum of data/no of people

and the median = the middle value when arrange in ascending order

Single Line: 6.5 6.6 6.7 6.8 7.0 7.3 7.6 7.8 7.8 7.8

 The mean waiting time for customers in a single line is 7.19 minutes.

The median waiting time for customers in a single line is 7.15 minutes.

Individual Lines: 4.2 5.2 5.9 6.3 6.5 7.8 7.8 8.7 9.4 10.1

The mean waiting time for customers in individual lines is 7.19 minutes.

The median waiting time for customers in individual lines is 7.15 minutes.

Determine whether there is a difference between the two data sets that is not apparent from a comparison of the measures of center. If so, what is it?

there is no difference

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!