A laboratory tested twelve chicken eggs and found that the mean amount of cholesterol was 185 milligrams with s = 17.6 milligrams. A confidence interval of 173.8 mg < μ < 196.2 mg is constructed for the true mean cholesterol content of all such eggs. It was assumed that the population has a normal distribution. What confidence level does this interval represent?

The appropriate solution is "95%".

Step-by-step explanation:

The given values are:

Lower bound,

= 173.8

Upper bound,

= 196.2

Mean of cholesterol,

= 138 milligrams

S = 17.6 mg

Now,

The margin of error (E) will be:

=  

=  

=  

=  

As we know,

⇒  

On putting the values, we get

⇒  

On applying cross-multiplication, we get

⇒  

∴

hence,

The confidence level will be:

⇒  

⇒        

⇒        

⇒        %

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

~