Answer:
One solution
Step-by-step explanation:
we have
---> equation A
---> equation B
Solve the system by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
there's only one point of intersection
so
The solution is the point (0,4)
see the attached figure
therefore
The system of equations has only one solution
Answer:
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.
Step-by-step explanation:
From the question we are told that
The population mean is
The sample size is n = 25
The sample mean is
The standard deviation is
Let assume the level of significance of this test is
The null hypothesis is
The alternative hypothesis is
Generally the degree of freedom is mathematically represented as
=>
=>
Generally the test statistics is mathematically represented as
=>
=>
Generally from the student t distribution table the probability of obtaining to the right of the curve at a degree of freedom of
is
From the value obtained we see that hence
The decision rule is
Fail to reject the null hypothesis
The conclusion is
There is no sufficient evidence to show that the designer's claim of a better shoe is supported by the trial results.