A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of
$12.00. Alyssa thinks that her school is more fashion conscious and spent more than $195.00. She collected data from 20 people in her high school and found that the average price spent on a prom dress was $208.00. Which of the following is the correct z-statistic for this situation?
The z-statistic can be calculated as the difference in the population mean and sample mean divided by the standard error. The standard error can be calculated as the standard deviation divided by square root of sample size. The standard error:
SE = 12/ sqrt(20) = 2.68
The z-statistic: (195 -208) 2.68 = -4.86
You would need to use the distance formula. Distance = Sqrt((x2-x1)^2+(y2-y1)^2) Plug in your numbers Distance = Sqrt((12+4)^2+(12-18)^2) Distance = 17.09
