Option B: 5 is the value of f(3)
Explanation:
The equation of the piecewise function is given by
We need to find the value of
The value of the function f can be determined when by identifying in which interval does the value of
lie in the piecewise function.
Thus, lies in the interval
, the function f is given by
Substituting in the function
, we get,
Thus, the value of is 5.
Therefore, Option B is the correct answer.
Answer:
95% Confidence interval for the variance:
95% Confidence interval for the standard deviation:
Step-by-step explanation:
We have to calculate a 95% confidence interval for the standard deviation σ and the variance σ².
The sample, of size n=8, has a standard deviation of s=2.89 miles.
Then, the variance of the sample is
The confidence interval for the variance is:
The critical values for the Chi-square distribution for a 95% confidence (α=0.05) interval are:
Then, the confidence interval can be calculated as:
If we calculate the square root for each bound we will have the confidence interval for the standard deviation: