The z-score formula
What is
z = (X - mu)/sigma
A normal distribution has a mean of 23 and a standard deviation of 4. What is the value one standard deviation above the mean?
What is 27?
What is an experiment
A forest products company claims that the amount of usable lumber in its harvested trees averages 172 cubic feet and has standard deviation of 12.4 cubic feet. Assume that these amounts have approximately a normal distribution. What percent of trees contains more than 147.2 cubic feet?
What is 97.5%
What a single person referred to in statistics
Subject
Two things that are required for an experiment
What are random sample and random assignment?
On average, students do 45 minutes of homework with a stand. dev. of 5. What percent of students do 35-45 mins of homework?
What is 47.5%?
Do abandoned children placed in foster homes do better than similar children placed in an institution? The Bucharest Early Intervention Project found that the answer is a clear “Yes.” The subjects were 136 young children abandoned at birth and living in orphanages in Bucharest, Romania. Half of the children, chosen at random, were placed in foster homes. The other half remained in the orphanages. (Foster care was not easily available in Romania at the time and so was paid for by the study.)
What conclusions can we draw from this study?
We can not make inference about the population (no random sampling). We can make inference about cause and effect (random sampling). We can conclude that foster homes caused children to do better.
GPAs of freshman biology majors at a certain university have approximately the normal distribution with the mean 2.87 and the standard deviation is 0.34. What percent of freshman biology majors have GPA above 3.55?
What is 2.5%