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:

⇒  

⇒        

⇒        

⇒        %

x = ± 6i

step-by-step explanation:

x^2 = -36

take the square root of each side

sqrt(x^2) = sqrt(-36)

we know sqrt(ab) = sqrt(a) sqrt(b)

x = ±sqrt(36) sqrt(-1)

we know that sqrt (-1) = i

x = ± 6i

see explanation

step-by-step explanation:

since the sequence is geometric there is a common ratio r between consecutive terms, that is

r = 4 ÷ - 2 = - 2

r = - 8 ÷ 4 = - 2

r = 16 ÷ 8 = - 2

the next term - 13 must be incorrect as it should be - 32 for the sequence to be geometric.

the first 4 terms are therefore geometric with common ratio r = - 2