Answer:
The value of the test statistic is 
Step-by-step explanation:
The null hypothesis is:
The alternate hypotesis is:
Our test statistic is:
In which X is the sample mean, 
is the null hypothesis value, 
is the standard deviation and n is the size of the sample.
In this problem:
So
The value of the test statistic is
The future worth (F) of the investment at present (P) with a compound interest i after n years is calculated through the equation,
F = P x (1 + i)^n
Substituting the known values,
F = ($200) x (1 + 0.07)^5 = $280.51
Thus, the future worth of the investment is approximately $280.51.
