The number of square feet per house are normally distributed with a population standard deviation of 137 square feet and an unknown population mean. A random sample of 19 houses is taken and results in a sample mean of 1350 square feet. Find the margin of error for a 80% confidence interval for the population mean. z0.10z0.10z0.05z0.05z0.025z0.025z0. 01z0.01z0.005z0.005 1.2821.6451.9602.3262.576 You may use a calculator or the common z values above. Round the final answer to two decimal places.

The MOE for 80% confidence interval for μ is 5.59.

Step-by-step explanation:

The random variable X is defined as the number of square feet per house.

The random variable X is Normally distributed with mean μ and standard deviation σ = 137.

The margin of error for a (1 - α) % confidence interval for population mean is:

Given:

n = 19

σ = 137

Compute MOE for 80% confidence interval for μ as follows:

Thus, the MOE for 80% confidence interval for μ is 5.59.

in mathematics, a function is a relationship between two variables such that the value of one of the variables, called the dependent variable, is determined by the value of the other variable, called the independent variable. there is a specific term we use to describe the set of independent variables of a function.