We are given the following data:
Sample Size = n = 1000
Sample Mean = u = 15 hours
Population Standard Deviation = s = 2 hours
Since we know the population standard deviation, we can use z distribution to find the confidence interval about the mean. z value for 95% confidence interval is 1.96.
Formula for the confidence interval is:

Using the values in the formula, we get:

Therefore, the 95% confidence interval about the population mean is 14.88 hours to 15.12 hours. So B option is the correct answer.
Answer:
x=(y+9)/(1+2w)
Step-by-step explanation:
x-9+2wx=y
We make x the subject
x+2wx=y+9
x(1+2w)=y+9
Divide both sides by (1+2w)
x(1+2w)/(1+2w)=y+9(1+2w)
x=(y+9)/(1+2w)
Dependent variables: A variable whose value depends on the value of another variable or variables
independent variable: A variable whose value determines the value of another variable or variables
<h2>
Answer: y + 7 = -3 (x - 1)</h2>
Step-by-step explanation:
The slope of the line (m) = (y₂ - y₁) ÷ (x₂ - x₁)
= (- 7 - 8) ÷ ( 1 - (- 4))
= - 15 ÷ 5
= - 3
We can now use the point-slope form to write the equation for this line:
y - y₁ = m(x - x₁) where (x₁ , y₁) = (1, -7)
y - (-7) = -3 ( x - 1)
y + 7 = -3 (x - 1)