Answer:
C. We have made a correct decision
Step-by-step explanation:
Hypotheses are:
: mu is less than or equal to 47
: mu is greater than 47
Type I error happens when we reject the null hypothesis but the null hypothesis was true
Type II error happens when we fail to reject the null hypothesis but the null hypothesis was wrong.
In this example we concluded that <em>mu is greater than 47,</em> thus we reject the null hypothesis. Since true mean is 52, this conclusion is true. We have made a correct decision
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The answer to this question is D
Answer:
Option A is correct
An equation does not have an solution of 1/4 form.
Explanation:
To determine which equation does not have a solution of 1/4 for n.
Option A:
Substitute the value of n = 1/4 we have;
False
Similarly for,
Option B :
Substitute the value of n = 1/4 we have;
True
Option C:
Substitute the value of n = 1/4 we have;
True
Option D:
Substitute the value of n = 1/4 we have;
True
Therefore, an equation does not have an solution of 1/4 form.
Answer:
Step-by-step explanation:
By definition of Laplace transform we have
L{f(t)} =
Now to solve the integral on the right hand side we shall use Integration by parts Taking as first function thus we have
Again repeating the same procedure we get
Again repeating the same procedure we get
Now solving this integral we have
Thus we have
where s is any complex parameter