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Answer:
There is no difference in the number of sales between The Florida salespeople and Washington salespeople
Sp^2 = 39
Step-by-step explanation:
Given data :
Florida: 39, 44, 42, 50, 55, 48, 51, 38, 54
Washington: 42, 43, 56, 50, 49, 52, 53, 56
number of sales persons in Florida = 9
number of sales persons in Washington = 8
variance = constant
a)Determine if there is difference between the Florida salespeople and Washington salespeople
we will carry out a two tailed test based on the given data
H0 : u1 = u2
H1 : u1 ≠ u2
x ( mean ) = 46.77, y ( mean ) = 50.13 ,
s1^2 = 39.69, s2^2 = 28.41, n1 = 9 , n2 = 8
therefore :
Sp^2 = = 38.96 ≈ 39
performing test statistic
t = =
= -1.1078
critical value is at t = 0.05 and for a two tailed test it is at 2.13 therefore e accept H0 at 5% . This shows that there is no difference in sales
Answer:
Part 1) The domain of the quadratic function is the interval (-∞,∞)
Part 2) The range is the interval (-∞,1]
Step-by-step explanation:
we have
This is a quadratic equation (vertical parabola) open downward (the leading coefficient is negative)
step 1
Find the domain
The domain of a function is the set of all possible values of x
The domain of the quadratic function is the interval
(-∞,∞)
All real numbers
step 2
Find the range
The range of a function is the complete set of all possible resulting values of y, after we have substituted the domain.
we have a vertical parabola open downward
The vertex is a maximum
Let
(h,k) the vertex of the parabola
so
The range is the interval
(-∞,k]
Find the vertex
Factor -1 the leading coefficient
Complete the square
Rewrite as perfect squares
The vertex is the point (7,1)
therefore
The range is the interval
(-∞,1]