The average price of homes sold in the U. S. in the past year was $220,000. A random sample of 81 homes sold this year showed an average price of $210,000. It is known that the standard deviation of the population is $36,000. At level of significance (a) 0.05, conduct the hypothesis test to determine if there has been a significant decrease in the average price homes.

There is a significant decrease in the average price homes.

Step-by-step explanation:

Let X represent the prices of homes sold in the U.S. in the past year

given that

Create hypotheses as

(Left tailed test at 5% significance)

Mean difference = -10000

Std error of mean =

Since population std deviation is known, we can do z test

Z = mean diff/std error = -2.50

p value = 0.00621

Since p <0.05 we reject null hypothesis.

There is a significant decrease in the average price homes.

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation:

answer:

24pi or letter c