Assume that the heights of men are normally distributed. a random sample of 16 men have a mean height of 67.5 inches and a standard deviation of 3.2 inches. construct a 99% confidence interval for the population standard deviation, σ.

Solution: The 99% confidence interval for the population standard deviation is given below:

σ

σ

σ

Step-by-step explanation:

The confidence interval for population standard deviation is given by :-

Given : n = 16

Standard deviation : s = 3.2

Significance level :

Critical values by using chi-square distribution table :-

The 99% confidence interval for the population standard deviation is given by :-

Hence,  a 99% confidence interval for the population standard deviation :

option a.

step-by-step explanation:

if you look closely at the graph, we can notice that the function is not defined at two different points.

if you look at functions b and c, you will notice that both functions are not defined at just one point. the function b is not defined at x= -5/2 and function c is not defined at x=-5. both options are discarded, given that our function should not be defined at two fiferent points.

now, if you look closely at the graph you will notice that the function sketched is not defined at x=5 and x=-2.

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.