When determining the sample size required for a 95% confidence interval for the population mean, the sample mean needs to be known. a. True b. False

True

Step-by-step explanation:

When dealing with confidence intervals for the population mean, the formula is;

x¯ - z_α(σ/√n) ≤ μ ≤ x¯ + z_α(σ/√n)

Where;

μ is population mean

x¯ is sample mean

z_α is z-value of confidence interval

σ is population standard deviation.

n is sample size

From the formula, we can see that when we rearrange it to make the sample size the subject, it is clear that we need to know the value of the sample mean x¯ in order for us to solve for the sample size

center (1,3) with radius 6

step-by-step explanation:

we must complete the square to find the center and radius of the circle.

first make sure the x and y squared terms have 1 as their coefficients. we also make sure x and y terms together.

we now create space between the x and y terms with parenthesis.

we complete the square by taking the middle terms -2x and the -6y - divide each and square them.

we add the squares to both sides.

simplify.

and write the quadratics in factored form.

the center is (h,k) or (1,3). the radius is the square root of 36 which is 6.

16 is the coefficient

hope this