Arandom sample of 15 people were taken from a normally distributed population, and the mean height of the population is going to be estimated with 95% confidence. what is the appropriate critical value that should be used to build the 95 confidence level?

a)

b)

Step-by-step explanation:

We are given the following information in the question:

Sample size = 15

The population is normally distributed and the mean height of the population is going to be estimated with 95% confidence.

We have to find the appropriate critical value that should be used to build the 95 confidence level.

Confidence interval:

If the population standard deviation is given, we use the z-critical value.

If the population standard deviation is not given, we use the t-critical value.

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice