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The standard deviation of the sample mean differences is 4.854
<h3>How to determine the standard deviation of the sample mean differences?</h3>The table of values is given as:
<u>Sample Standard deviation</u>
Red box 3.868
Blue box 2.933
The standard deviation of the sample mean differences is calculated using:
This gives
Evaluate the expression
Also, the table of value do not give any information regarding the sample size.
This means that the sample size of the session regarding the number of people would purchase the red box and the blue box are unknown
Hence, the standard deviation of the sample mean differences is 4.854
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1)
The graph of the above equation is attached in the attachment below.
For all the values from negative infinity to -4, the function is positive.
X ∈ (-∞,-4]
2)
To find the x- intercept, plug y =0
x intercept = (2,0)
To find the y- intercept, plug x=0
Y- intercept = ( 0,3)
3)
Y- intercept = (0,13)
x- intercept = (13,0)
Area of triangle =
Area of triangle =
Area = sq unit.
4) The graphs of and
is attached in the attachment below.
The intersection point is ( 5,-3)
5) A = (-3,0)
B = (4,5)
C = (0,-4)
Slope of AB =
Slope intercept of line
Where, m is the slope and b is the y- intercept.
Plugging point A and the slope in the y- intercept to find the value of b.
Equation of line AB:
Slope of BC =
Plug C = (0,-4)
b=-4
equation of line BC=
Slope of line AC =
Equation of line AC =
Y intercept of AB =
