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Option b: 10 in, 18.5 in, 31.5 in.
Explanation:
The three sides of a triangle are and
The perimeter of the triangle is .
Since, Perimeter = all sides of the triangle
Let us add all the three sides to determine the length of each side.
Substituting the value of Perimeter and simplifying, we get,
Substituting in the three sides of the triangle
and
, we get,
Thus, the lengths of each side are 10 in, 18.5 in, 31.5 in.
Answer:
The conclusion is that the researcher was correct
Step-by-step explanation:
From the question we are told that
The sample size is
The sample mean is
The standard deviation is
The significance level is
The Null Hypothesis is
The Alternative Hypothesis is
The test statistic is mathematically represented as
Substituting values
Now the critical value for is
This obtained from the critical value table
So comparing the critical value of alpha and the test value we see that the test value is less than the critical value so the Null Hypothesis is rejected
The conclusion is that the researcher was correct