<h2>
Answer:</h2><h3>b. n is odd</h3><h2>
Step-by-step explanation:</h2>
In this problem, we assume that 
is a whole number. The definition of inverse functions tells us that a function 
has an inverse function if and only if the function is one-to-one, that is, if there is no any horizontal line intersecting the graph of at more than one point. This only happens if is odd. This is called the Horizontal Line Test for Inverse Functions. So let's take two examples:
FIRST:
Since n is even, an horizontal line will pass through two points as indicated in the first figure below.
SECOND:
Since n is odd, an horizontal line will pass through just one point as indicated in the second figure below.
The confidence interval is given by the formula:
m +/- z·(σ/√n)
First, compute the mean:
m = (<span>15.8 + 15.6 + 15.1 + 15.2 + 15.1 + 15.5 + 15.9 + 15.5) / 8
= 15.463
Then, compute the standard deviation:
</span>σ = √[∑(v - m)²/n]
= 0.287
The z-score for a 95% confidence interval is z = 1.96.
Now you can calculate:
m + z·(σ/√n) = 15.463 + 1.96·(0.287/√8)
= 15.463 + 0.199
= 15.662
m - z·(σ/√n) = 15.463 - 1.96·(0.287/√8)
= 15.463 - 0.199
= 15.264
Therefore the confidence interval is (15.264, <span>15.662) and the correct answer is E) none of the above.</span>
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