The developer of a new welding rod claims that spot welds using his product will have greater strength than conventional welds. for 45 welds using the new rod, the average tensile strength is 23,500 pounds per square inch, with a standard deviation of 600 pounds. for 40 conventional welds on the same materials, the average tensile strength is 23,140 pounds per square inch, with a standard deviation of 750 pounds. using the 0.01 level, what is the calculated value of t statistic? (specify your answer to the 3rd decimal.)

2.424

Step-by-step explanation:

As per given , we have

For ,

sample mean :

Sample standard deviation :

For ,

sample mean :

Sample standard deviation :

Test statistic :

i.e.

Simplify , we get

Hence,  the calculated value of t statistic= 2.424

a) justify

step-by-step explanation:

justifying is just part of everyday life. justify kind of means proof so i think the answer is a) justify.

infinitely many solutions

step-by-step explanation:

we have been given the equation;

2(2x + 3) = -4 + 2(2x + 5)

we need to determine the value of x.

2(2x + 3), we expand this expression to obtain 4x + 6

similarly 2(2x + 5) will become 4x + 10

now we have;

4x + 6 = -4 + 4x + 10

4x + 6 = 4x + 10 - 4

4x + 6 = 4x + 6

the expression on the left hand side is identical to the one on the right hand side. therefore, we are looking at just a single straight line whose equation is;

y = 4x + 6

consequently, we shall have infinitely many solutions